PBH papers published between 1993-2018

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Uncertainties in primordial black-hole constraints on the primordial   power spectrum

Published Paper #: 542

Authors:, Yashar Akrami, Florian Kuhnel, Marit Sandstad,

Journal: Physics of the Dark Universe 19 (2018) 124-128

url: http://arxiv.org/pdf/1611.10069v4.pdf

Abstract: The existence (and abundance) of primordial black holes (PBHs) is governed by the power spectrum of primordial perturbations generated during inflation. So far no PBHs have been observed, and instead, increasingly stringent bounds on their existence at different scales have been obtained. Up until recently, this has been exploited in attempts to constrain parts of the inflationary power spectrum that are unconstrained by cosmological observations. We first point out that the simple translation of the PBH non-observation bounds into constraints on the primordial power spectrum is inaccurate as it fails to include realistic aspects of PBH formation and evolution. We then demonstrate, by studying two examples of uncertainties from the effects of critical and non-spherical collapse, that even though they may seem small, they have important implications for the usefulness of the constraints. In particular, we point out that the uncertainty induced by non-spherical collapse may be much larger than the difference between particular bounds from PBH non-observations and the general maximum cap stemming from the condition $\Omega \leq 1$ on the dark-matter density in the form of PBHs. We therefore make the cautious suggestion of applying only the overall maximum dark-matter constraint to models of early Universe, as this requirement seems to currently provide a more reliable constraint, which better reflects our current lack of detailed knowledge of PBH formation. These, and other effects, such as merging, clustering and accretion, may also loosen constraints from non-observations of other primordial compact objects such as ultra-compact minihalos of dark matter.

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Primordial Black Holes from Polynomial Potentials in Single Field   Inflation

Published Paper #: 541

Authors:, Mark P. Hertzberg, Masaki Yamada,

Journal: Phys. Rev. D 97, 083509 (2018)

url: http://arxiv.org/pdf/1712.09750v2.pdf

Abstract: Within canonical single field inflation models, we provide a method to reverse engineer and reconstruct the inflaton potential from a given power spectrum. This is not only a useful tool to find a potential from observational constraints, but also gives insight into how to generate a large amplitude spike in density perturbations, especially those that may lead to primordial black holes (PBHs). In accord with other works, we find that the usual slow-roll conditions need to be violated in order to generate a significant spike in the spectrum. We find that a way to achieve a very large amplitude spike in single field models is for the classical roll of the inflaton to over-shoot a local minimum during inflation. We provide an example of a quintic polynomial potential that implements this idea and leads to the observed spectral index, observed amplitude of fluctuations on large scales, significant PBH formation on small scales, and is compatible with other observational constraints. We quantify how much fine-tuning is required to achieve this in a family of random polynomial potentials, which may be useful to estimate the probability of PBH formation in the string landscape.

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Collisions in Primordial Star Clusters: Formation Pathway for   intermediate mass black holes

Published Paper #: 540

Authors:, B. Reinoso, D. R. G. Schleicher, M. Fellhauer, R. S. Klessen, T. C. N. Boekholt,

Journal: A&A 614, A14 (2018)

url: http://arxiv.org/pdf/1801.05891v2.pdf

Abstract: Collisions were suggested to potentially play a role in the formation of massive stars in present day clusters, and have likely been relevant during the formation of massive stars and intermediate mass black holes within the first star clusters. In the early Universe, the first stellar clusters were particularly dense, as fragmentation typically only occurred at densities above $10^9$cm$^{-3}$, and the radii of the protostars were enhanced due to the larger accretion rates, suggesting a potentially more relevant role of stellar collisions. We present here a detailed parameter study to assess how the number of collisions as well as the mass growth of the most massive object depends on the properties of the cluster, and we characterize the time evolution with three effective parameters, the time when most collisions occur, the duration of the collisions period, as well as the normalization required to obtain the total number of collisions. We apply our results to typical Population III (Pop.III) clusters of about $1000$M$_\odot$, finding that a moderate enhancement of the mass of the most massive star by a factor of a few can be expected. For more massive Pop.III clusters as expected in the first atomic cooling halos, we expect a more significant enhancement by a factor of $15-32$. We therefore conclude that collisions in massive Pop.III clusters were likely relevant to form the first intermediate mass black holes.

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Primordial Black Holes as Dark Matter: Converting Constraints from   Monochromatic to Extended Mass Distributions

Published Paper #: 539

Authors:, Nicola Bellomo, José Luis Bernal, Alvise Raccanelli, Licia Verde,

Journal: JCAP01(2018)004

url: http://arxiv.org/pdf/1709.07467v2.pdf

Abstract: The model in which Primordial Black Holes (PBHs) constitute a non-negligible fraction of the dark matter has (re)gained popularity after the first detections of binary black hole mergers. Most of the observational constraints to date have been derived assuming a single mass for all the PBHs, although some more recent works tried to generalize constraints to the case of extended mass functions. Here we derive a general methodology to obtain constraints for any PBH Extended Mass Distribution (EMD) and any observables in the desired mass range. Starting from those obtained for a monochromatic distribution, we convert them into constraints for EMDs by using an equivalent, effective mass $M_{\rm eq}$ that depends on the specific observable. We highlight how limits of validity of the PBH modelling affect the EMD parameter space. Finally, we present converted constraints on the total abundance of PBH from microlensing, stellar distribution in ultra-faint dwarf galaxies and CMB accretion for Lognormal and Power Law mass distributions, finding that EMD constraints are generally stronger than monochromatic ones.

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Understanding caustic crossings in giant arcs: characteristic scales,   event rates, and constraints on compact dark matter

Published Paper #: 538

Authors:, Masamune Oguri, Jose M. Diego, Nick Kaiser, Patrick L. Kelly, Tom Broadhurst,

Journal: Phys. Rev. D 97, 023518 (2018)

url: http://arxiv.org/pdf/1710.00148v2.pdf

Abstract: The recent discovery of fast transient events near critical curves of massive galaxy clusters, which are interpreted as highly magnified individual stars in giant arcs due to caustic crossing, opens up the possibility of using such microlensing events to constrain a range of dark matter models such as primordial black holes and scalar field dark matter. Based on a simple analytic model, we study lensing properties of a point mass lens embedded in a high magnification region, and derive the dependence of the peak brightness, microlensing time scales, and event rates on the mass of the point mass lens as well as the radius of a source star that is magnified. We find that the lens mass and source radius of the first event MACS J1149 Lensed Star 1 (LS1) are constrained, with the lens mass range of $0.1~M_\odot \lesssim M \lesssim 4\times 10^3M_\odot$ and the source radius range of $40~R_\odot \lesssim R \lesssim 260~R_\odot$. In the most plausible case with $M\approx 0.3~M_\odot$ and $R\approx 180~R_\odot$, the source star should have been magnified by a factor of $\approx 4300$ at the peak. The derived lens properties are fully consistent with the interpretation that MACS J1149 LS1 is a microlensing event produced by a star that contributes to the intra-cluster light. We argue that compact dark matter models with high fractional mass densities for the mass range $10^{-5}M_\odot \lesssim M\lesssim 10^2M_\odot$ are inconsistent with the observation of MACS J1149 LS1 because such models predict too low magnifications. Our work demonstrates a potential use of caustic crossing events in giant arcs to constrain compact dark matter.

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The merger rate of primordial-black-hole binaries

Published Paper #: 537

Authors:, Yacine Ali-Haïmoud, Ely D. Kovetz, Marc Kamionkowski,

Journal: Phys. Rev. D 96, 123523 (2017)

url: http://arxiv.org/pdf/1709.06576v2.pdf

Abstract: Primordial black holes (PBHs) have long been a candidate for the elusive dark matter (DM), and remain poorly constrained in the ~20-100 Msun mass range. PBH binaries were recently suggested as the possible source of LIGO's first detections. In this paper, we thoroughly revisit existing estimates of the merger rate of PBH binaries. We compute the probability distribution of orbital parameters for PBH binaries formed in the early Universe, accounting for tidal torquing by all other PBHs, as well as standard large-scale adiabatic perturbations. We then check whether the orbital parameters of PBH binaries formed in the early Universe can be significantly affected between formation and merger. Our analytic estimates indicate that the tidal field of halos and interactions with other PBHs, as well as dynamical friction by unbound standard DM particles, do not do significant work on nor torque PBH binaries. We estimate the torque due to baryon accretion to be much weaker than previous calculations, albeit possibly large enough to significantly affect the eccentricity of typical PBH binaries. We also revisit the PBH-binary merger rate resulting from gravitational capture in present-day halos, accounting for Poisson fluctuations. If binaries formed in the early Universe survive to the present time, as suggested by our analytic estimates, they dominate the total PBH merger rate. Moreover, this merger rate would be orders of magnitude larger than LIGO's current upper limits if PBHs make a significant fraction of the dark matter. As a consequence, LIGO would constrain ~10-300 Msun PBHs to constitute no more than ~1% of the dark matter. To make this conclusion fully robust, though, numerical study of several complex astrophysical processes - such as the formation of the first PBH halos and how they may affect PBH binaries, as well as the accretion of gas onto an extremely eccentric binary - is needed.

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$\mathcal O(10) M_\odot$ primordial black holes and string axion dark   matter

Published Paper #: 536

Authors:, Keisuke Inomata, Masahiro Kawasaki, Kyohei Mukaida, Yuichiro Tada, Tsutomu T. Yanagida,

Journal: Phys. Rev. D 96, 123527 (2017)

url: http://arxiv.org/pdf/1709.07865v2.pdf

Abstract: LIGO-Virgo collaboration has found black holes as heavy as $M \sim 30M_\odot$ through the detections of the gravitational waves emitted during their mergers. Primordial black holes (PBHs) produced by inflation could be an origin of such events. While it is tempting to presume that these PBHs constitute all Dark Matter (DM), there exists a number of constraints for PBHs with $\mathcal{O} (10) M_\odot$ which contradict with the idea of PBHs as all DM. Also, it is known that weakly interacting massive particle (WIMP) that is a common DM candidate is almost impossible to coexist with PBHs. These observations motivate us to pursue another candidate of DM. In this paper, we assume that the string axion solving the strong CP problem makes up all DM, and discuss the coexistence of string axion DM and inflationary PBHs for LIGO events.

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Primordial black hole dark matter from single field inflation

Published Paper #: 535

Authors:, Guillermo Ballesteros, Marco Taoso,

Journal: Phys. Rev. D 97, 023501 (2018)

url: http://arxiv.org/pdf/1709.05565v2.pdf

Abstract: We propose a model of inflation capable of generating a population of light black holes (about $10^{-16}$ - $10^{-14}$ solar masses) that might account for a significant fraction of the dark matter in the Universe. The effective potential of the model features an approximate inflection point arising from two-loop order logarithmic corrections in well-motivated and perturbative particle physics examples. This feature decelerates the inflaton before the end of inflation, enhancing the primordial spectrum of scalar fluctuations and triggering efficient black hole production with a peaked mass distribution. At larger field values, inflation occurs thanks to a generic small coupling between the inflaton and the curvature of spacetime. We compute accurately the peak mass and abundance of the primordial black holes using the Press-Schechter and Mukhanov-Sasaki formalisms, showing that the slow-roll approximation fails to reproduce the correct results by orders of magnitude. We study as well a qualitatively similar implementation of the idea, where the approximate inflection point is due to competing terms in a generic polynomial potential. In both models, requiring a significant part of the dark matter abundance to be in the form of black holes implies a small blue scalar tilt with a sizable negative running and a tensor spectrum that may be detected by the next-generation probes of the cosmic microwave background. We also comment on previous works on the topic.

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Primordial black holes from single field models of inflation

Published Paper #: 534

Authors:, Juan Garcia-Bellido, Ester Ruiz Morales,

Journal: Physics Dark Universe 18 (2017) 47-54

url: http://arxiv.org/pdf/1702.03901v6.pdf

Abstract: Primordial black holes (PBH) have been shown to arise from high peaks in the matter power spectra of multi-field models of inflation. Here we show, with a simple toy model, that it is also possible to generate a peak in the curvature power spectrum of single-field inflation. We assume that the effective dynamics of the inflaton field presents a near-inflection point which slows down the field right before the end of inflation and gives rise to a prominent spike in the fluctuation power spectrum at scales much smaller than those probed by Cosmic Microwave Background (CMB) and Large Scale Structure (LSS) observations. This peak will give rise, upon reentry during the radiation era, to PBH via gravitational collapse. The mass and abundance of these PBH is such that they could constitute the totality of the Dark Matter today. We satisfy all CMB and LSS constraints and predict a very broad range of PBH masses. Some of these PBH are light enough that they will evaporate before structure formation, leaving behind a large curvature fluctuation on small scales. This broad mass distribution of PBH as Dark Matter will be tested in the future by AdvLIGO and LISA interferometers.

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Modified hoop conjecture in expanding spacetimes and primordial black   hole production in FRW universe

Published Paper #: 533

Authors:, Anshul Saini, Dejan Stojkovic,

Journal: JCAP05(2018)071

url: http://arxiv.org/pdf/1711.06732v1.pdf

Abstract: According to a variant of the hoop conjecture, if we localize two particles within the Schwarzschild radius corresponding to their center of mass energy, then a black hole will form. Despite a large body of work on the formation of primordial black holes, so far this conjecture has not been generalized to expanding spacetimes. We derive a formula which gives the distance within which two particles must be localized to give a black hole, and which crucially depends on the expansion rate of the background space. In the limit of a very slow expansion, we recover the flat spacetime case. In the opposite limit of the large expansion rate when the inverse Hubble radius is smaller than the Schwarzschild radius of a "would be" black hole, the new critical distance between two particles that can make a black hole becomes equal to the particle horizon, which is just a requirement that the particles are in a causal contact. This behavior also nicely illustrates why the Big Bang singularity is not a black hole. We then use our formula to calculate the number density, energy density and production rate of black holes produced in collisions of particles. We find that though black holes might be numerous at high temperatures, they never dominate over the background radiation below the Planck temperature.

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CMB bounds on disk-accreting massive Primordial Black Holes

Published Paper #: 532

Authors:, Vivian Poulin, Pasquale D. Serpico, Francesca Calore, Sebastien Clesse, Kazunori Kohri,

Journal: Phys. Rev. D 96, 083524 (2017)

url: http://arxiv.org/pdf/1707.04206v2.pdf

Abstract: Stellar-mass Primordial Black Holes (PBH) have been recently reconsidered as a Dark Matter (DM) candidate, after the aLIGO discovery of several binary BH mergers with masses of tens of $M_\odot$. Matter accretion on such massive objects leads to the emission of high-energy photons, capable of altering the ionization and thermal history of the universe. This in turn affects the statistical properties of the cosmic microwave background (CMB) anisotropies. Previous analyses have assumed spherical accretion. We argue that this approximation likely breaks down and that an accretion disk should form in the dark ages. Using the most up-to-date tools to compute the energy deposition in the medium, we derive constraints on the fraction of DM in PBH. Provided that disks form early on, even under conservative assumptions for accretion, these constraints exclude a monochromatic distribution of PBH with masses above $\sim 2\, M_\odot$ as the dominant form of DM. The bound on the median PBH mass gets more stringent if a broad, log-normal mass function is considered. A deepened understanding of non-linear clustering properties and BH accretion disk physics would permit an improved treatment and possibly lead to more stringent constraints.

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Signatures of Compact Halos of Sterile-Neutrino Dark Matter

Published Paper #: 531

Authors:, Florian Kuhnel, Tommy Ohlsson,

Journal: Phys. Rev. D 96, 103020 (2017)

url: http://arxiv.org/pdf/1707.04493v2.pdf

Abstract: We investigate compact halos of sterile-neutrino dark matter and examine observable signatures with respect to neutrino and photon emission. Primarily, we consider two cases: primordial black-hole halos and ultra-compact mini-halos. In both cases, we find that there exists a broad range of possible parameter choices such that detection in the near future with X-ray and gamma-ray telescopes might be well possible. In fact, for energies above $10\,{\rm TeV}$, the neutrino telescope IceCube would be a splendid detection machine for such macroscopic dark-matter candidates.

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Critical point in the phase diagram of primordial quark-gluon matter   from black hole physics

Published Paper #: 530

Authors:, Renato Critelli, Jorge Noronha, Jacquelyn Noronha-Hostler, Israel Portillo, Claudia Ratti, Romulo Rougemont,

Journal: Phys. Rev. D 96, 096026 (2017)

url: http://arxiv.org/pdf/1706.00455v3.pdf

Abstract: Strongly interacting matter undergoes a crossover phase transition at high temperatures $T\sim 10^{12}$ K and zero net-baryon density. A fundamental question in the theory of strong interactions, Quantum Chromodynamics (QCD), is whether a hot and dense system of quarks and gluons displays critical phenomena when doped with more quarks than antiquarks, where net-baryon number fluctuations diverge. Recent lattice QCD work indicates that such a critical point can only occur in the baryon dense regime of the theory, which defies a description from first principles calculations. Here we use the holographic gauge/gravity correspondence to map the fluctuations of baryon charge in the dense quark-gluon liquid onto a numerically tractable gravitational problem involving the charge fluctuations of holographic black holes. This approach quantitatively reproduces ab initio results for the lowest order moments of the baryon fluctuations and makes predictions for the higher order baryon susceptibilities and also for the location of the critical point, which is found to be within the reach of heavy ion collision experiments.

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Gravitational wave bursts from Primordial Black Hole hyperbolic   encounters

Published Paper #: 529

Authors:, Juan Garcia-Bellido, Savvas Nesseris,

Journal: Phys.Dark Univ., 18 (2017) 123-126

url: http://arxiv.org/pdf/1706.02111v2.pdf

Abstract: We propose that Gravitational Wave (GW) bursts with millisecond durations can be explained by the GW emission from the hyperbolic encounters of Primordial Black Holes in dense clusters. These bursts are single events, with the bulk of the released energy happening during the closest approach, and emitted in frequencies within the AdvLIGO sensitivity range. We provide expressions for the shape of the GW emission in terms of the peak frequency and amplitude, and estimate the rates of these events for a variety of mass and velocity configurations. We study the regions of parameter space that will allow detection by both AdvLIGO and, in the future, LISA. We find for realistic configurations, with total mass $M\sim60\,M_\odot$, relative velocities $v\sim 0.01\,c$, and impact parameters $b\sim10^{-3}$ AU, for AdvLIGO an expected event rate is ${\cal O}(10)$ events/yr/Gpc$^3$ with millisecond durations. For LISA, the typical duration is in the range of minutes to hours and the event-rate is ${\cal O}(10^3)$ events/yr/Gpc$^3$ for both $10^3\,M_\odot$ IMBH and $10^6\,M_\odot$ SMBH encounters. We also study the distribution functions of eccentricities, peak frequencies and characteristic timescales that can be expected for a population of scattering PBH with a log-normal distribution in masses, different relative velocities and a flat prior on the impact parameter.

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Maximum redshift of gravitational wave merger events

Published Paper #: 528

Authors:, Savvas M. Koushiappas, Abraham Loeb,

Journal: Phys. Rev. Lett. 119, 221104 (2017)

url: http://arxiv.org/pdf/1708.07380v2.pdf

Abstract: Future generation of gravitational wave detectors will have the sensitivity to detect gravitational wave events at redshifts far beyond any detectable electromagnetic sources. We show that if the observed event rate is greater than one event per year at redshifts z > 40, then the probability distribution of primordial density fluctuations must be significantly non-Gaussian or the events originate from primordial black holes. The nature of the excess events can be determined from the redshift distribution of the merger rate.

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Cosmological implications of Primordial Black Holes

Published Paper #: 527

Authors:, José Luis Bernal, Nicola Bellomo, Alvise Raccanelli, Licia Verde,

Journal: JCAP10(2017)052

url: http://arxiv.org/pdf/1709.07465v2.pdf

Abstract: The possibility that a relevant fraction of the dark matter might be comprised of Primordial Black Holes (PBHs) has been seriously reconsidered after LIGO's detection of a $\sim 30 M_{\odot}$ binary black holes merger. Despite the strong interest in the model, there is a lack of studies on possible cosmological implications and effects on cosmological parameters inference. We investigate correlations with the other standard cosmological parameters using cosmic microwave background observations, finding significant degeneracies, especially with the tilt of the primordial power spectrum and the sound horizon at radiation drag. However, these degeneracies can be greatly reduced with the inclusion of small scale polarization data. We also explore if PBHs as dark matter in simple extensions of the standard $\Lambda$CDM cosmological model induces extra degeneracies, especially between the additional parameters and the PBH's ones. Finally, we present cosmic microwave background constraints on the fraction of dark matter in PBHs, not only for monochromatic PBH mass distributions but also for popular extended mass distributions. Our results show that extended mass distribution's constraints are tighter, but also that a considerable amount of constraining power comes from the high-$\ell$ polarization data. Moreover, we constrain the shape of such mass distributions in terms of the correspondent constraints on the PBH mass fraction.

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Probing Primordial-Black-Hole Dark Matter with Gravitational Waves

Published Paper #: 526

Authors:, Ely D. Kovetz,

Journal: Phys. Rev. Lett. 119, 131301 (2017)

url: http://arxiv.org/pdf/1705.09182v2.pdf

Abstract: Primordial black holes (PBHs) have long been suggested as a candidate for making up some or all of the dark matter in the Universe. Most of the theoretically possible mass range for PBH dark matter has been ruled out with various null observations of expected signatures of their interaction with standard astrophysical objects. However, current constraints are significantly less robust in the 20 M_sun < M_PBH < 100 M_sun mass window, which has received much attention recently, following the detection of merging black holes with estimated masses of ~30 M_sun by LIGO and the suggestion that these could be black holes formed in the early Universe. We consider the potential of advanced LIGO (aLIGO) operating at design sensitivity to probe this mass range by looking for peaks in the mass spectrum of detected events. To quantify the background, which is due to black holes that are formed from dying stars, we model the shape of the stellar-black-hole mass function and calibrate its amplitude to match the O1 results. Adopting very conservative assumptions about the PBH and stellar-black-hole merger rates, we show that ~5 years of aLIGO data can be used to detect a contribution of >20 M_sun PBHs to dark matter down to f_PBH<0.5 at >99.9% confidence level. Combined with other probes that already suggest tension with f_PBH=1, the obtainable independent limits from aLIGO will thus enable a firm test of the scenario that PBHs make up all of dark matter.

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Using LISA-like Gravitational Wave Detectors to Search for Primordial   Black Holes

Published Paper #: 525

Authors:, Huai-Ke Guo, Jing Shu, Yue Zhao,

Journal: Phys. Rev. D 99, 023001 (2019)

url: http://arxiv.org/pdf/1709.03500v1.pdf

Abstract: Primordial black hole (PBH), which can be naturally produced in the early universe, remains a promising dark matter candidate . It can merge with a supermassive black hole (SMBH) in the center of a galaxy and generate gravitational wave (GW) signals in the favored frequency region of LISA-like experiments. In this work, we initiate the study on the event rate calculation for such extreme mass ratio inspirals (EMRI). Including the sensitivities of various proposed GW detectors, we find that such experiments offer a novel and outstanding tool to test the scenario where PBH constitutes (fraction of) dark matter. The PBH energy density fraction of DM ($f_\text{PBH}$) could potentially be explored as small as $10^{-3} \sim 10^{-4}$. Further, LISA has the capability to search for PBH mass upto $10^{-2} \sim 10^{-1} M_\odot$. Other proposed GW experiments can probe lower PBH mass regime.

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Primordial Black Holes and Slow-Roll Violation

Published Paper #: 524

Authors:, Hayato Motohashi, Wayne Hu,

Journal: Phys. Rev. D 96, 063503 (2017)

url: http://arxiv.org/pdf/1706.06784v2.pdf

Abstract: For primordial black holes (PBH) to be the dark matter in single-field inflation, the slow-roll approximation must be violated by at least ${\cal O}(1)$ in order to enhance the curvature power spectrum within the required number of efolds between CMB scales and PBH mass scales. Power spectrum predictions which rely on the inflaton remaining on the slow-roll attractor can fail dramatically leading to qualitatively incorrect conclusions in models like an inflection potential and misestimate the mass scale in a running mass model. We show that an optimized temporal evaluation of the Hubble slow-roll parameters to second order remains a good description for a wide range of PBH formation models where up to a $10^7$ amplification of power occurs in $10$ efolds or more.

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Primordial black holes from inflaton and spectator field perturbations   in a matter-dominated era

Published Paper #: 523

Authors:, Bernard Carr, Tommi Tenkanen, Ville Vaskonen,

Journal: Phys. Rev. D 96, 063507 (2017)

url: http://arxiv.org/pdf/1706.03746v2.pdf

Abstract: We study production of primordial black holes (PBHs) during an early matter-dominated phase. As a source of perturbations, we consider either the inflaton field with a running spectral index or a spectator field that has a blue spectrum and thus provides a significant contribution to the PBH production at small scales. First, we identify the region of the parameter space where a significant fraction of the observed dark matter can be produced, taking into account all current PBH constraints. Then, we present constraints on the amplitude and spectral index of the spectator field as a function of the reheating temperature. We also derive constraints on the running of the inflaton spectral index, ${\rm d}n/{\rm d}{\rm ln}k \lesssim -0.002$, which are comparable to those from the Planck satellite for a scenario where the spectator field is absent.

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Search for Primordial Black Hole Evaporation with VERITAS

Published Paper #: 522

Authors:, Simon Archambault,

Journal: PoS(ICRC2017)691

url: http://arxiv.org/pdf/1709.00307v1.pdf

Abstract: Primordial black holes are black holes that may have formed from density fluctuations in the early universe. It has been theorized that black holes slowly evaporate. If primordial black holes of initial mass of $10^{14}$g were formed, their evaporation would end in this epoch, in a bright burst of very-high-energy gamma rays. A Cherenkov telescope experiment like VERITAS can look for these primordial black hole bursts in its archival data, constraining the rate-density of their final evaporation. New analysis techniques and search methodologies were used and will be presented here, leading to new constraints on the rate-density evaporation of primordial black holes, using 750 hours of archival VERITAS data.

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Gravitational waves from primordial black holes collisions in binary   systems

Published Paper #: 521

Authors:, Yu. N. Eroshenko,

Journal: J. Phys.: Conf. Ser. 1051, 012010 (2018)

url: http://arxiv.org/pdf/1604.04932v3.pdf

Abstract: It was shown by (Nakamura et al. 1997), (Ioka et al. 1998), and (Sasaki et al. 2016) that primordial black holes (PBHs) binaries can form effectively at the cosmological stage of radiation dominance, and the merge of the PBHs in pairs can explain the gravitational wave burst GW150914. In this paper, the model is re-examined by considering the effect of inflationary dark matter density perturbations which produce additional tidal forces. As a result, the merge rate of PBHs binaries and the corresponding rate of the gravitational bursts are suppressed by the factor $\sim1.5-2$ in comparison with previous calculations. This rate matches the LIGO data if the PBHs constitute the $f\sim5\times10^{-4}-5\times10^{-3}$ fraction of dark matter.

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Collapse threshold for a cosmological Klein Gordon field

Published Paper #: 520

Authors:, Juan Carlos Hidalgo, Josue De-Santiago, Gabriel German, Nandinii Barbosa-Cendejas, Waldemar Ruiz-Luna,

Journal: Phys. Rev. D 96, 063504 (2017)

url: http://arxiv.org/pdf/1705.02308v2.pdf

Abstract: Oscillating scalar fields are useful to model a variety of matter components in the universe. One or more scalar fields participate in the reheating process after inflation, while at much lower energies scalar fields are robust dark matter candidates. Pertaining structure formation in these models, it is well known that inhomogeneities of the Klein-Gordon field are unstable above the characteristic De Broglie wavelength. In this paper we show that such instability implies the existence of a threshold amplitude for the collapse of primordial fluctuations. We use this threshold to correctly predict the cut--off scale of the matter power spectrum in the scalar field dark matter model. Furthermore, for a Klein-Gordon field during reheating we show that this same threshold allows for abundant production of structure (oscillons but not necessarily black holes). Looking at the production of Primordial Black Holes (PBHs) in this scenario we note that the sphericity condition yields a much lower probability of PBH formation at the end of inflation. Remarkably, even after meeting such stringent condition, we find that PBHs may be overproduced during reheating. We finally constrain the epochs at which an oscillating Klein-Gordon field could dominate the early universe.

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Primordial Black Holes and $r$-Process Nucleosynthesis

Published Paper #: 519

Authors:, George M. Fuller, Alexander Kusenko, Volodymyr Takhistov,

Journal: Phys. Rev. Lett. 119, 061101 (2017)

url: http://arxiv.org/pdf/1704.01129v2.pdf

Abstract: We show that some or all of the inventory of $r$-process nucleosynthesis can be produced in interactions of primordial black holes (PBHs) with neutron stars (NSs) if PBHs with masses ${10}^{-14}\,{\rm M}_\odot < {\rm M}_{\rm PBH} < {10}^{-8}\,{\rm M}_\odot$ make up a few percent or more of the dark matter. A PBH captured by a neutron star (NS) sinks to the center of the NS and consumes it from the inside. When this occurs in a rotating millisecond-period NS, the resulting spin-up ejects $\sim 0.1-0.5\,{\rm M}_{\odot}$ of relatively cold neutron-rich material. This ejection process and the accompanying decompression and decay of nuclear matter can produce electromagnetic transients, such as a kilonova-type afterglow and fast radio bursts. These transients are not accompanied by significant gravitational radiation or neutrinos, allowing such events to be differentiated from compact object mergers occurring within the distance sensitivity limits of gravitational wave observatories. The PBH-NS destruction scenario is consistent with pulsar and NS statistics, the dark matter content and spatial distributions in the Galaxy and Ultra Faint Dwarfs (UFD), as well as with the $r$-process content and evolution histories in these sites. Ejected matter is heated by beta decay, which leads to emission of positrons in an amount consistent with the observed 511-keV line from the Galactic Center.

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Planck stars: new sources in radio and gamma astronomy?

Published Paper #: 518

Authors:, Carlo Rovelli,

Journal: Nature Astronomy 1 (2017) 0065

url: http://arxiv.org/pdf/1708.01789v1.pdf

Abstract: A new phenomenon, recently studied in theoretical physics, may have considerable interest for astronomers: the explosive decay of old primordial black holes via quantum tunnelling. Models predict radio and gamma bursts with a characteristic frequency-distance relation making them identifiable. Their detection would be of major theoretical importance.

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Astrophysical uncertainties on stellar microlensing constraints on   multi-Solar mass primordial black hole dark matter

Published Paper #: 517

Authors:, Anne M Green,

Journal: Phys. Rev. D 96, 043020 (2017)

url: http://arxiv.org/pdf/1705.10818v2.pdf

Abstract: There has recently been interest in multi-Solar mass Primordial Black Holes (PBHs) as a dark matter (DM) candidate. There are various microlensing, dynamical and accretion constraints on the abundance of PBHs in this mass range. Taken at face value these constraints exclude multi-Solar mass PBHs making up all of the DM for both delta-function and extended mass functions. However the stellar microlensing event rate depends on the density and velocity distribution of the compact objects along the line of sight to the Magellanic Clouds. We study the dependence of the constraints on the local dark matter density and circular speed and also consider models where the velocity distribution varies with radius. We find that the largest mass constrained by stellar microlensing can vary by an order of magnitude. In particular the constraints are significantly weakened if the velocity dispersion of the compact objects is reduced. The change is not sufficiently large to remove the tension between the stellar microlensing and dynamical constraints. However this demonstrates that it is crucial to take into account astrophysical uncertainties when calculating and comparing constraints. We also confirm the recent finding that the tension between the constraints is in fact increased for realistic, finite width mass functions.

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PBH dark matter from axion inflation

Published Paper #: 516

Authors:, Valerie Domcke, Francesco Muia, Mauro Pieroni, Lukas T. Witkowski,

Journal: JCAP 07 (2017) 048

url: http://arxiv.org/pdf/1704.03464v2.pdf

Abstract: Protected by an approximate shift symmetry, axions are well motivated candidates for driving cosmic inflation. Their generic coupling to the Chern-Simons term of any gauge theory gives rise to a wide range of potentially observable signatures, including equilateral non-Gaussianites in the CMB, chiral gravitational waves in the range of direct gravitational wave detectors and primordial black holes (PBHs). In this paper we revisit these predictions for axion inflation models non-minimally coupled to gravity. Contrary to the case of minimally coupled models which typically predict scale-invariant mass distributions for the generated PBHs at small scales, we demonstrate how broadly peaked PBH spectra naturally arises in this setup. For specific parameter values, all of dark matter can be accounted for by PBHs.

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Disentangling the potential dark matter origin of LIGO's black holes

Published Paper #: 515

Authors:, Ryan Magee, Chad Hanna,

Journal: The Astrophysical Journal Letters, Volume 845, Number 2 (2017)

url: http://arxiv.org/pdf/1706.04947v3.pdf

Abstract: The nature of dark matter remains one of the biggest open questions in physics. Intriguingly, it has been suggested that dark matter may be explained by another recently observed phenomenon: the detection of gravitational waves by LIGO. LIGO's detection of gravitational waves from merging stellar mass black holes renewed attention toward the possibility that dark matter consists solely of black holes created in the very early universe and that these primordial black holes are what LIGO is presently observing. Subsequent work on this topic has ruled out the possibility that dark matter could consist solely of black holes similar to those that LIGO has detected with masses above 10 solar masses. However, LIGO's connection to dark matter remains an open question and in this work we consider a distribution of primordial black holes that accounts for all of the dark matter, is consistent with LIGO's observations arising from primordial black hole binaries, and resolves tension in previous surveys of microlensing events in the Milky Way halo. The primordial black hole mass distribution that we consider offers an important prediction--LIGO may detect black holes smaller than have ever been observed with ~1% of the black holes it detects having a mass less than the mass of our Sun. Approximately one year of operating advanced LIGO at design sensitivity should be adequate to begin to see a hint of a primordial black hole mass distribution. Detecting primordial black hole binaries below a solar mass will be readily distinguishable from other known compact binary systems, thereby providing an unambiguous observational window for advanced LIGO to pin down the nature of dark matter.

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Detecting Sub-lunar Mass Compact Objects toward the Local Group Galaxies

Published Paper #: 514

Authors:, Kaiki Taro Inoue,

Journal: New Astronomy, 58, pp. 47-52 (Jan. 2018)

url: http://arxiv.org/pdf/1609.04520v2.pdf

Abstract: By monitoring a large number of stars in the Local Group galaxies, we can detect nanolensing events by sub-lunar mass compact objects (SULCOs) such as primordial black holes (PBHs) and rogue (free-floating) dwarf planets in the Milky Way halo. In contarst to microlensing by stellar-mass objects, the finite-source size effect becomes important and the lensing time duration becomes shorter ($\sim 10^{1-4}\,\textrm{s}$). Using stars with $V<26$ in M33 as sources, for one-night observation, we would be able to detect $10^{3-4}$ nanolensing events caused by SULCOs in the Milky Way halo with a mass of $10^{-9}M_{\odot}$ to $10^{-7}M_{\odot}$ for sources with S/N$>5$ if SULCOs constitute all the dark matter components. Moreover, we expect $10^{1-2}$ events in which bright blue stars with S/N$>100$ are weakly amplified due to lensing by SULCOs with a mass range of $10^{-11}M_{\odot}$ to $10^{-9}M_{\odot}$. Thus the method would open a new window on SULCOs in the Milky Way halo that would otherwise not be observable.

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Primordial black holes from supersymmetry in the early universe

Published Paper #: 513

Authors:, Eric Cotner, Alexander Kusenko,

Journal: Phys. Rev. Lett. 119, 031103 (2017)

url: http://arxiv.org/pdf/1612.02529v3.pdf

Abstract: Supersymmetric extensions of the standard model generically predict that in the early universe a scalar condensate can form and fragment into Q-balls before decaying. If the Q-balls dominate the energy density for some period of time, the relatively large fluctuations in their number density can lead to formation of primordial black holes (PBH). Other scalar fields, unrelated to supersymmetry, can play a similar role. For a general charged scalar field, this robust mechanism can generate black holes over the entire mass range allowed by observational constraints, with a sufficient abundance to account for all dark matter in some parameter ranges. In the case of supersymmetry the mass range is limited from above by $10^{23}$g. We also comment on the role that topological defects can play for PBH formation in a similar fashion.

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Searching for Primordial Black Holes in the radio and X-ray sky

Published Paper #: 512

Authors:, Daniele Gaggero, Gianfranco Bertone, Francesca Calore, Riley M. T. Connors, Mark Lovell, Sera Markoff, Emma Storm,

Journal: Phys. Rev. Lett. 118, 241101 (2017)

url: http://arxiv.org/pdf/1612.00457v2.pdf

Abstract: We model the accretion of gas onto a population of massive primordial black holes in the Milky Way, and compare the predicted radio and X-ray emission with observational data. We show that under conservative assumptions on the accretion process, the possibility that ${\cal O}(10) \, M_\odot$ primordial black holes can account for all of the dark matter in the Milky Way is excluded at $5\sigma$ by a comparison with a VLA radio catalog at $1.4$ GHz, and at $\simeq 40\sigma$ by a comparison with a Chandra X-ray catalog ($0.5 - 8$ keV). We argue that this method can be used to identify such a population of primordial black holes with more sensitive future radio and X-ray surveys.

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Primordial black holes from scalar field evolution in the early universe

Published Paper #: 511

Authors:, Eric Cotner, Alexander Kusenko,

Journal: Phys. Rev. D 96, 103002 (2017)

url: http://arxiv.org/pdf/1706.09003v1.pdf

Abstract: Scalar condensates with large expectation values can form in the early universe, for example, in theories with supersymmetry. The condensate can undergo fragmentation into Q-balls before decaying. If the Q-balls dominate the energy density for some period of time, statistical fluctuations in their number density can lead to formation of primordial black holes (PBH). In the case of supersymmetry the mass range is limited from above by $10^{23}$g. For a general charged scalar field, this robust mechanism can generate black holes over a much broader mass range, including the black holes with masses of 1-100 solar masses, which is relevant for LIGO observations of gravitational waves. Topological defects can lead to formation of PBH in a similar fashion.

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Spin Distribution of Primordial Black Holes

Published Paper #: 510

Authors:, Takeshi Chiba, Shuichiro Yokoyama,

Journal: PTEP 2017 8, 083E01 (2017)

url: http://arxiv.org/pdf/1704.06573v2.pdf

Abstract: We estimate the spin distribution of primordial black holes based on the recent study of the critical phenomena in the gravitational collapse of a rotating radiation fluid. We find that primordial black holes are mostly slowly rotating.

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MHz Gravitational Wave Constraints with Decameter Michelson   Interferometers

Published Paper #: 509

Authors:, Aaron S. Chou, Richard Gustafson, Craig Hogan, Brittany Kamai, Ohkyung Kwon, Robert Lanza, Shane L. Larson, Lee McCuller, Stephan S. Meyer, Jonathan Richardson, Chris Stoughton, Raymond Tomlin, Rainer Weiss,

Journal: Phys. Rev. D 95, 063002 (2017)

url: http://arxiv.org/pdf/1611.05560v2.pdf

Abstract: A new detector, the Fermilab Holometer, consists of separate yet identical 39-meter Michelson interferometers. Strain sensitivity achieved is better than $10^{-21} /{\sqrt{\rm{Hz}}}$ between 1 to 13 MHz from a 130-hr dataset. This measurement exceeds the sensitivity and frequency range made from previous high frequency gravitational wave experiments by many orders of magnitude. Constraints are placed on a stochastic background at 382 Hz resolution. The 3$\sigma$ upper limit on $\Omega_{\rm{GW}}$, the gravitational wave energy density normalized to the closure density, ranges from $5.6 \times 10^{12}$ at 1 MHz to $8.4 \times 10^{15}$ at 13 MHz. Another result from the same dataset is a search for nearby primordial black hole binaries (PBHB). There are no detectable monochromatic PBHBs in the mass range $0.83$ - $3.5 \times 10^{21}$g between the earth and the moon. Projections for a chirp search with the same dataset increases the mass range to $0.59 - 2.5 \times 10^{25}$g and distances out to Jupiter. This result presents a new method for placing limits on a poorly constrained mass range of primordial black holes. Additionally, solar system searches for PBHBs place limits on their contribution to the total dark matter fraction.

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The primordial environment of supermassive black holes (II): deep Y and   J band images around the z=6.3 quasar SDSS J1030+0524

Published Paper #: 508

Authors:, B. Balmaverde, R. Gilli, M. Mignoli, M. Bolzonella, M. Brusa, N. Cappelluti, A. Comastri, E. Sani, E. Vanzella, C. Vignali, F. Vito, G. Zamorani,

Journal: A&A 606, A23 (2017)

url: http://arxiv.org/pdf/1706.02317v1.pdf

Abstract: Many cosmological studies predict that early supermassive black holes (SMBHs) can only form in the most massive dark matter halos embedded within large scale structures marked by galaxy over-densities that may extend up to 10 physical Mpc. This scenario, however, has not been confirmed observationally, as the search for galaxy over-densities around high-z quasars has returned conflicting results. The field around the z=6.28 quasar SDSSJ1030+0524 (J1030) is unique for multi-band coverage and represents an excellent data legacy for studying the environment around a primordial SMBH. In this paper we present wide-area (25x25 arcmin), Y- and J-band imaging of the J1030 field obtained with the near infrared camera WIRCam at the Canada-France-Hawaii Telescope (CFHT). We built source catalogues in the Y- and J-band, and matched those with our photometric catalogue in the r, z, i bands presented in Morselli et al. (2014). We used these new infrared data together with H and K and Spitzer/IRAC data to refine our selection of Lyman Break Galaxies (LBGs), extending our selection criteria to galaxies in the range 25.2<zAB<25.7. We selected 21 robust high-z candidates in the J1030 field with photometric redshift around 6 and colors i-z>=1.3. We found a significant asymmetry in the distribution of the high-z galaxies in J1030, supporting the existence of a coherent large-scale structure around the quasar. We compared our results with those of Bowler et al. (2015), who adopted similar LBGs selection criteria, and estimated an over-density of galaxies in the field of delta = 2.4, which is significant at >4 sigma. The over-density value and its significance are higher than those found in Morselli et al. (2014), and we interpret this as evidence of an improved LBG selection.

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Inflationary primordial black holes for the LIGO gravitational wave   events and pulsar timing array experiments

Published Paper #: 507

Authors:, Keisuke Inomata, Masahiro Kawasaki, Kyohei Mukaida, Yuichiro Tada, Tsutomu T. Yanagida,

Journal: Phys. Rev. D 95, 123510 (2017)

url: http://arxiv.org/pdf/1611.06130v2.pdf

Abstract: Primordial black holes (PBHs) are one of the candidates to explain the gravitational wave (GW) signals observed by the LIGO detectors. Among several phenomena in the early Universe, cosmic inflation is a major example to generate PBHs from large primordial density perturbations. In this paper, we discuss the possibility to interpret the observed GW events as mergers of PBHs which are produced by cosmic inflation. The primordial curvature perturbation should be large enough to produce a sizable amount of PBHs and thus we have several other probes to test this scenario. We point out that the current pulsar timing array (PTA) experiments already put severe constraints on GWs generated via the second-order effects, and that the observation of the cosmic microwave background (CMB) puts severe restriction on its $\mu$ distortion. In particular, it is found that the scalar power spectrum should have a very sharp peak at $k \sim 10^{6}$ Mpc$^{-1}$ to fulfill the required abundance of PBHs while evading constraints from the PTA experiments together with the $\mu$ distortion. We propose a mechanism which can realize such a sharp peak. In the future, simple inflation models that generate PBHs via almost Gaussian fluctuations could be probed/excluded.

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Cosmological evolution of primordial black holes

Published Paper #: 506

Authors:, Jared R. Rice, Bing Zhang,

Journal: 2017, Journal of High Energy Astrophysics,13, 22-31

url: http://arxiv.org/pdf/1702.08069v2.pdf

Abstract: The cosmological evolution of primordial black holes (PBHs) is considered. A comprehensive view of the accretion and evaporation histories of PBHs across the entire cosmic history is presented, with focus on the critical mass holes. The critical mass of a PBH for current era evaporation is $M_{cr}\sim 5.1\times10^{14}$ g. Across cosmic time such a black hole will not accrete radiation or matter in sufficient quantity to hasten the inevitable evaporation, if the black hole remains within an average volume of the universe. The accretion rate onto PBHs is most sensitive to the mass of the hole, the sound speed in the cosmological fluid, and the energy density of the accreted components. It is not easy for a PBH to accrete the average cosmological fluid to reach $30M_\odot$ by $z\sim0.1$, the approximate mass and redshift of the merging BHs that were the sources of the gravitational wave events GW150914 and GW151226. A PBH located in an overdense region can undergo enhanced accretion leading to the possibility of growing by many orders of magnitude across cosmic history. Thus, two merging PBHs are a plausible source for the observed gravitational wave events. However, it is difficult for isolated PBHs to grow to supermassive black holes (SMBHs) at high redshift with masses large enough to fit observational constraints.

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Inflationary Primordial Black Holes as All Dark Matter

Published Paper #: 505

Authors:, Keisuke Inomata, Masahiro Kawasaki, Kyohei Mukaida, Yuichiro Tada, Tsutomu T. Yanagida,

Journal: Phys. Rev. D 96, 043504 (2017)

url: http://arxiv.org/pdf/1701.02544v3.pdf

Abstract: Following a new microlensing constraint on primordial black holes (PBHs) with $\sim10^{20}$--$10^{28}\,\mathrm{g}$~[1], we revisit the idea of PBH as all Dark Matter (DM). We have shown that the updated observational constraints suggest the viable mass function for PBHs as all DM to have a peak at $\simeq 10^{20}\,\mathrm{g}$ with a small width $\sigma \lesssim 0.1$, by imposing observational constraints on an extended mass function in a proper way. We have also provided an inflation model that successfully generates PBHs as all DM fulfilling this requirement.

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Tracing Primordial Black Holes in Nonsingular Bouncing Cosmology

Published Paper #: 504

Authors:, Jie-Wen Chen, Junyu Liu, Hao-Lan Xu, Yi-Fu Cai,

Journal: Physics Letters B 769 (2017) 561

url: http://arxiv.org/pdf/1609.02571v3.pdf

Abstract: We in this paper investigate the formation and evolution of primordial black holes (PBHs) in nonsingular bouncing cosmologies. We discuss the formation of PBH in the contracting phase and calculate the PBH abundance as a function of the sound speed and Hubble parameter. Afterwards, by taking into account the subsequent PBH evolution during the bouncing phase, we derive the density of PBHs and their Hawking radiation. Our analysis shows that nonsingular bounce models can be constrained from the backreaction of PBHs.

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Inflationary theory and pulsar timing investigations of primordial black   holes and gravitational waves

Published Paper #: 503

Authors:, Nicholas Orlofsky, Aaron Pierce, James D. Wells,

Journal: Phys. Rev. D 95, 063518 (2017)

url: http://arxiv.org/pdf/1612.05279v2.pdf

Abstract: The gravitational waves measured at LIGO are presumed here to come from merging primordial black holes. We ask how these primordial black holes could arise through inflationary models while not conflicting with current experiments. Among the approaches that work, we investigate the opportunity for corroboration through experimental probes of gravitational waves at pulsar timing arrays. We provide examples of theories that are already ruled out, theories that will soon be probed, and theories that will not be tested in the foreseeable future. The models that are most strongly constrained are those with a relatively broad primordial power spectrum.

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Primordial Black Holes as Dark Matter

Published Paper #: 502

Authors:, Bernard Carr, Florian Kuhnel, Marit Sandstad,

Journal: Phys. Rev. D 94, 083504 (2016)

url: http://arxiv.org/pdf/1607.06077v4.pdf

Abstract: The possibility that the dark matter comprises primordial black holes (PBHs) is considered, with particular emphasis on the currently allowed mass windows at $10^{16}$ - $10^{17}\,$g, $10^{20}$ - $10^{24}\,$g and $1$ - $10^{3}\,M_{\odot}$. The Planck mass relics of smaller evaporating PBHs are also considered. All relevant constraints (lensing, dynamical, large-scale structure and accretion) are reviewed and various effects necessary for a precise calculation of the PBH abundance (non-Gaussianity, non-sphericity, critical collapse and merging) are accounted for. It is difficult to put all the dark matter in PBHs if their mass function is monochromatic but this is still possible if the mass function is extended, as expected in many scenarios. A novel procedure for confronting observational constraints with an extended PBH mass spectrum is therefore introduced. This applies for arbitrary constraints and a wide range of PBH formation models, and allows us to identify which model-independent conclusions can be drawn from constraints over all mass ranges. We focus particularly on PBHs generated by inflation, pointing out which effects in the formation process influence the mapping from the inflationary power spectrum to the PBH mass function. We then apply our scheme to two specific inflationary models in which PBHs provide the dark matter. The possibility that the dark matter is in intermediate-mass PBHs of $1$ - $10^{3}\,M_{\odot}$ is of special interest in view of the recent detection of black-hole mergers by LIGO. The possibility of Planck relics is also intriguing but virtually untestable.

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Gravitational Waves from Primordial Black Holes and New Weak Scale   Phenomena

Published Paper #: 501

Authors:, Hooman Davoudiasl, Pier Paolo Giardino,

Journal: Phys.Lett. B768 (2017) 198-202

url: http://arxiv.org/pdf/1609.00907v3.pdf

Abstract: We entertain the possibility that primordialblack holes of mass $\sim (10^{26}$--$10^{29})$~g, with Schwarzschild radii of $\mathcal{O}{\text{cm}}$, constitute $\sim 10\%$ or more of cosmic dark matter, as allowed by various constraints. These black holes would typically originate from cosmological eras corresponding to temperatures $\mathcal{O}{10-100}$~GeV, and may be associated with first order phase transitions in the visible or hidden sectors. In case these small primordial black holes get captured in orbits around neutron stars or astrophysical black holes in our galactic neighborhood, gravitational waves from the resulting "David and Goliath (D\&G)" binaries could be detectable at Advanced LIGO or Advanced Virgo for hours or more, possibly over distances of $\mathcal{O}{10}$~Mpc encompassing the Local Supercluster of galaxies. The proposed Einstein Telescope would further expand the reach for these signals. A positive signal could be further corroborated by the discovery of new particles in the $\mathcal{O}{10-100}$~GeV mass range, and potentially also the detection of long wavelength gravitational waves originating from the first order phase transition era.

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Digging deeper: Observing primordial gravitational waves below the   binary black hole produced stochastic background

Published Paper #: 500

Authors:, T. Regimbau, M. Evans, N. Christensen, E. Katsavounidis, B. Sathyaprakash, S. Vitale,

Journal: Phys. Rev. Lett. 118, 151105 (2017)

url: http://arxiv.org/pdf/1611.08943v2.pdf

Abstract: The merger rate of black hole binaries inferred from the detections in the first Advanced LIGO science run, implies that a stochastic background produced by a cosmological population of mergers will likely mask the primordial gravitational-wave background. Here we demonstrate that the next generation of ground-based detectors, such as the Einstein Telescope and Cosmic Explorer, will be able to observe binary black hole mergers throughout the universe with sufficient efficiency that the confusion background can potentially be subtracted to observe the primordial background at the level of $\Omega_{\mathrm{GW}} \simeq 10^{-13}$ after five years of observation.

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Enhanced direct collapse due to Lyman alpha feedback

Published Paper #: 499

Authors:, Jarrett L. Johnson, Mark Dijkstra,

Journal: A&A 601, A138 (2017)

url: http://arxiv.org/pdf/1611.00780v2.pdf

Abstract: We assess the impact of trapped Lyman alpha cooling radiation on the formation of direct collapse black holes (DCBHs). We apply a one-zone chemical and thermal evolution model, accounting for the photodetachment of H- ions, precursors to the key coolant H2, by Lyman alpha photons produced during the collapse of a cloud of primordial gas in an atomic cooling halo at high redshift. We find that photodetachment of H- by trapped Lyman alpha photons may lower the level of the H2-dissociating background radiation field required for DCBH formation substantially, dropping the critical flux by up to a factor of a few. This translates into a potentially large increase in the expected number density of DCBHs in the early Universe, and supports the view that DCBHs may be the seeds for the BHs residing in the centers of a significant fraction of galaxies today. We find that detachment of H- by Lyman alpha has the strongest impact on the critical flux for the relatively high background radiation temperatures expected to characterize the emission from young, hot stars in the early Universe. This lends support to the DCBH origin of the highest redshift quasars.

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Constraints on Primordial Black Holes with Extended Mass Functions

Published Paper #: 498

Authors:, Florian Kuhnel, Katherine Freese,

Journal: Phys. Rev. D 95, 083508 (2017)

url: http://arxiv.org/pdf/1701.07223v2.pdf

Abstract: Constraints on primordial black holes in the range $10^{-18} M_{\odot}$ to $10^{3} M_{\odot}$ are reevaluated for a general class of extended mass functions. Whereas previous work has assumed that PBHs are produced with one single mass, instead there is expected to be a range of masses even in the case of production from a single mechanism; constraints therefore change from previous literature. Although tightly constrained in the majority of cases, it is shown that, even under conservative assumptions, primordial black holes in the mass range $10^{-10} M_{\odot}$ to $10^{-8} M_{\odot}$ could still constitute the entirety of the dark matter. This stresses both the importance for a comprehensive reevaluation of all respective constraints that have previously been evaluated only for a monochromatic mass function, and the need to obtain more constraints in the allowed mass range.

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Reionization effect enhancement due to primordial black holes

Published Paper #: 497

Authors:, K. M. Belotsky, A. A. Kirillov, N. O. Nazarova, S. G. Rubin,

Journal: International Journal of Modern Physics D 26 (2017) 1750102

url: http://arxiv.org/pdf/1702.06338v1.pdf

Abstract: Primordial black holes (PBH) could account for variety of phenomena like dark matter, reionization of the Universe, early quasars, coalescence of black holes registered through gravitational waves recently. Each phenomenon relates to PBH of a specific mass range. PBH mass spectra varies in a wide range depending on specific model. Earlier we have shown that PBH with monochromatic mass distribution around $5\times 10^{16}$ g value allow to re-ionize the Universe moderately. Here we show that reionization effect and contribution to dark matter can be simultaneously enhanced with more natural extended mass distribution in the range around the same mass value.

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Stochastic gravitational waves associated with the formation of   primordial black holes

Published Paper #: 496

Authors:, Tomohiro Nakama, Joseph Silk, Marc Kamionkowski,

Journal: Phys. Rev. D 95, 043511 (2017)

url: http://arxiv.org/pdf/1612.06264v2.pdf

Abstract: Primordial black hole (PBH) mergers have been proposed as an explanation for the gravitational wave events detected by the LIGO collaboration. Such PBHs may be formed in the early Universe as a result of the collapse of extremely rare high-sigma peaks of primordial fluctuations on small scales, as long as the amplitude of primordial perturbations on small scales is enhanced significantly relative to the amplitude of perturbations observed on large scales. One consequence of these small-scale perturbations is generation of stochastic gravitational waves that arise at second order in scalar perturbations, mostly before the formation of the PBHs. These induced gravitational waves have been shown, assuming gaussian initial conditions, to be comparable to the current limits from the European Pulsar Timing Array, severely restricting this scenario. We show, however, that models with enhanced fluctuation amplitudes typically involve non-gaussian initial conditions. With such initial conditions, the current limits from pulsar timing can be evaded. The amplitude of the induced gravitational-wave background can be larger or smaller than the stochastic gravitational-wave background from supermassive black hole binaries.

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Antideuterons in cosmic rays: sources and discovery potential

Published Paper #: 495

Authors:, Johannes Herms, Alejandro Ibarra, Andrea Vittino, Sebastian Wild,

Journal: JCAP02(2017)018

url: http://arxiv.org/pdf/1610.00699v2.pdf

Abstract: Antibaryons are produced in our Galaxy in collisions of high energy cosmic rays with the interstellar medium and in old supernova remnants, and possibly, in exotic sources such as primordial black hole evaporation or dark matter annihilations and decays. The search for signals from exotic sources in antiproton data is hampered by large backgrounds from spallation which, within theoretical errors, can solely account for the current data. Due to the higher energy threshold for antideuteron production, which translates into a suppression of the low energy flux from spallations, antideuteron searches have been proposed as a probe for exotic sources. We perform in this paper a comprehensive analysis of the antideuteron fluxes at the Earth expected from known and hypothetical sources in our Galaxy, and we calculate their maximal values consistent with current antiproton data from AMS-02. We find that supernova remnants generate a negligible flux, whereas primordial black hole evaporation and dark matter annihilations or decays may dominate the total flux at low energies. On the other hand, we find that the detection of cosmic antideuterons would require, for the scenarios studied in this paper and assuming optimistic values of the coalescence momentum and solar modulation, an increase of the experimental sensitivity compared to ongoing and planned instruments by at least a factor of 2. Finally, we briefly comment on the prospects for antihelium-3 detection.

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Effect of lensing magnification on the apparent distribution of black   hole mergers

Published Paper #: 494

Authors:, Liang Dai, Tejaswi Venumadhav, Kris Sigurdson,

Journal: Phys. Rev. D 95, 044011 (2017)

url: http://arxiv.org/pdf/1605.09398v3.pdf

Abstract: The recent detection of gravitational waves indicates that stellar-mass black hole binaries are likely to be a key population of sources for forthcoming observations. With future upgrades, ground-based detectors could detect merging black hole binaries out to cosmological distances. Gravitational wave bursts from high redshifts ($z \gtrsim 1$) can be strongly magnified by gravitational lensing due to intervening galaxies along the line of sight. In the absence of electromagnetic counterparts, the mergers' intrinsic mass scale and redshift are degenerate with the unknown magnification factor $\mu$. Hence, strongly magnified low-mass mergers from high redshifts appear as higher-mass mergers from lower redshifts. We assess the impact of this degeneracy on the mass-redshift distribution of observable events for generic models of binary black hole formation from normal stellar evolution, Pop III star remnants, or a primordial black hole population. We find that strong magnification ($\mu \gtrsim 3$) generally creates a heavy tail of apparently massive mergers in the event distribution from a given detector. For LIGO and its future upgrades, this tail may dominate the population of intrinsically massive, but unlensed mergers in binary black hole formation models involving normal stellar evolution or primordial black holes. Modeling the statistics of lensing magnification can help account for this magnification bias when testing astrophysical scenarios of black hole binary formation and evolution.

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Cosmic microwave background limits on accreting primordial black holes

Published Paper #: 493

Authors:, Yacine Ali-Haïmoud, Marc Kamionkowski,

Journal: Phys. Rev. D 95, 043534 (2017)

url: http://arxiv.org/pdf/1612.05644v2.pdf

Abstract: Interest in the idea that primordial black holes (PBHs) might comprise some or all of the dark matter has recently been rekindled following LIGO's first direct detection of a binary-black-hole merger. Here we revisit the effect of accreting PBHs on the cosmic microwave background (CMB) frequency spectrum and angular temperature/polarization power spectra. We compute the accretion rate and luminosity of PBHs, accounting for their suppression by Compton drag and Compton cooling by CMB photons. We estimate the gas temperature near the Schwarzschild radius, and hence the free-free luminosity, accounting for the cooling resulting from collisional ionization when the background gas is mostly neutral. We account approximately for the velocities of PBHs with respect to the background gas. We provide a simple analytic estimate of the efficiency of energy deposition in the plasma. We find that the spectral distortions generated by accreting PBHs are too small to be detected by FIRAS, as well as by future experiments now being considered. We analyze Planck CMB temperature and polarization data and find, under our most conservative hypotheses, and at the order-of-magnitude level, that they rule out PBHs with masses >~ 10^2 M_sun as the dominant component of dark matter.

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Primordial GWs from universality classes of pseudo-scalar inflation

Published Paper #: 492

Authors:, Mauro Pieroni,

Journal: J.Phys.Conf.Ser. 840 (2017) no.1, 012033

url: http://arxiv.org/pdf/1701.09041v1.pdf

Abstract: In this contribution we discuss the possibility of generating an observable gravitational wave (GW) background by coupling a pseudo-scalar inflaton to some Abelian gauge fields. This analysis is performed by dividing inflationary models into universality classes. We find that of the most promising scenario is a Starobinsky-like model, which may lead to the generation of observational signatures both in upcoming CMB detectors as well as for direct GW detectors. The signal which can be produced in these models would both be observable in ground-based detectors, such as advanced LIGO, and in space-based detectors, such as LISA. The complementarity between the CMB and direct GW detection may be used to extract informations on the microphysics of inflation. Interestingly the mechanism discussed in this contribution may also be relevant for the generation of Primordial Black Holes (PBHs).

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Pulsar timing can constrain primordial black holes in the LIGO mass   window

Published Paper #: 491

Authors:, Katelin Schutz, Adrian Liu,

Journal: Phys. Rev. D 95, 023002 (2017)

url: http://arxiv.org/pdf/1610.04234v2.pdf

Abstract: The recent discovery of gravitational waves from merging black holes has generated interest in primordial black holes as a possible component of the dark matter. In this paper, we show that pulsar timing may soon have sufficient data to constrain $1$-$1000\,M_{\odot}$ primordial black holes via the non-detection of a third-order Shapiro time delay as the black holes move around the Galactic halo. We present the results of a Monte Carlo simulation which suggests that future data from known pulsars may be capable of constraining the PBH density more stringently than other existing methods in the mass range ~1-30$\,M_{\odot}$. We find that timing new pulsars discovered using the proposed Square Kilometre Array may constrain primordial black holes in this mass range to comprise less than ~1-10% of the dark matter.

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Dark Matter Density Spikes around Primordial Black Holes

Published Paper #: 490

Authors:, Yu. N. Eroshenko,

Journal: Astronomy Letters 42, 347 (2016)

url: http://arxiv.org/pdf/1607.00612v2.pdf

Abstract: We show that density spikes begin to form from dark matter particles around primordial black holes immediately after their formation at the radiation-dominated cosmological stage. This follows from the fact that in the thermal velocity distribution of particles there are particles with low velocities that remain in finite orbits around black holes and are not involved in the cosmological expansion. The accumulation of such particles near black holes gives rise to density spikes. These spikes are considerably denser than those that are formed later by the mechanism of secondary accretion. The density spikes must be bright gamma-ray sources. Comparison of the calculated signal from particle annihilation with the Fermi-LAT data constrains the present-day cosmological density parameter for primordial black holes with masses $M_{\rm BH}\geq10^{-8}M_\odot$ from above by values from $\Omega_{\rm BH}\leq1$ to $\Omega_{\rm BH}\leq10^{-8}$, depending on $M_{\rm BH}$. These constraints are several orders of magnitude more stringent than other known constraints.

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Science with the space-based interferometer LISA. IV: Probing inflation   with gravitational waves

Published Paper #: 489

Authors:, Nicola Bartolo, Chiara Caprini, Valerie Domcke, Daniel G. Figueroa, Juan Garcia-Bellido, Maria Chiara Guzzetti, Michele Liguori, Sabino Matarrese, Marco Peloso, Antoine Petiteau, Angelo Ricciardone, Mairi Sakellariadou, Lorenzo Sorbo, Gianmassimo Tasinato,

Journal: JCAP 12 (2016) 026

url: http://arxiv.org/pdf/1610.06481v2.pdf

Abstract: We investigate the potential for the LISA space-based interferometer to detect the stochastic gravitational wave background produced from different mechanisms during inflation. Focusing on well-motivated scenarios, we study the resulting contributions from particle production during inflation, inflationary spectator fields with varying speed of sound, effective field theories of inflation with specific patterns of symmetry breaking and models leading to the formation of primordial black holes. The projected sensitivities of LISA are used in a model-independent way for various detector designs and configurations. We demonstrate that LISA is able to probe these well-motivated inflationary scenarios beyond the irreducible vacuum tensor modes expected from any inflationary background.

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Planck Constraint on Relic Primordial Black Holes

Published Paper #: 488

Authors:, Steven Clark, Bhaskar Dutta, Yu Gao, Louis E. Strigari, Scott Watson,

Journal: Phys. Rev. D 95, 083006 (2017)

url: http://arxiv.org/pdf/1612.07738v1.pdf

Abstract: We investigate constraints on the abundance of primordial black holes (PBHs) in the mass range 10^{15}-10^{17} g using data from the Cosmic Microwave Background (CMB) and MeV extragalactic gamma-ray background (EGB). Hawking radiation from PBHs with lifetime greater than the age of the universe leaves an imprint on the CMB through modification of the ionization history and the damping of CMB anisotropies. Using a model for redshift dependent energy injection efficiencies, we show that a combination of temperature and polarization data from Planck provides the strongest constraint on the abundance of PBHs for masses \sim 10^{15}-10^{16} g, while the EGB dominates for masses \gtrsim 10^{16} g. Both the CMB and EGB now rule out PBHs as the dominant component of dark matter for masses \sim 10^{16}-10^{17} g. Planned MeV gamma-ray observatories are ideal for further improving constraints on PBHs in this mass range.

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Solving puzzles of GW150914 by primordial black holes

Published Paper #: 487

Authors:, S. Blinnikov, A. Dolgov, N. K. Porayko, K. Postnov,

Journal: JCAP11(2016)036

url: http://arxiv.org/pdf/1611.00541v2.pdf

Abstract: The black hole binary properties inferred from the LIGO gravitational wave signal GW150914 posed several serious problems. The high masses and low effective spin of black hole binary can be explained if they are primordial (PBH) rather than the products of the stellar binary evolution. Such PBH properties are postulated ad hoc but not derived from fundamental theory. We show that the necessary features of PBHs naturally follow from the slightly modified Affleck-Dine (AD) mechanism of baryogenesis. The log-normal distribution of PBHs, predicted within the AD paradigm, is adjusted to provide an abundant population of low-spin stellar mass black holes. The same distribution gives a sufficient number of quickly growing seeds of supermassive black holes observed at high redshifts and may comprise an appreciable fraction of Dark Matter which does not contradict any existing observational limits. Testable predictions of this scenario are discussed.

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Supermassive black holes formed by direct collapse of inflationary   perturbations

Published Paper #: 486

Authors:, Tomohiro Nakama, Teruaki Suyama, Jun'ichi Yokoyama,

Journal: Phys. Rev. D 94, 103522 (2016)

url: http://arxiv.org/pdf/1609.02245v2.pdf

Abstract: We propose a mechanism of producing a new type of primordial perturbations that collapse to primordial black holes whose mass can be as large as necessary for them to grow to the supermassive black holes observed at high redshifts, without contradicting COBE/FIRAS upper limits on cosmic microwave background (CMB) spectral distortions. In our model, the observable Universe consists of two kinds of many small patches which experienced different expansion histories during inflation. Primordial perturbations large enough to form primordial black holes are realized on patches that experienced more Hubble expansion than the others. By making these patches the minor component, the rarity of supermassive black holes can be explained. On the other hand, most regions of the Universe experienced the standard history and, hence, only have standard almost-scale-invariant adiabatic perturbations confirmed by observations of CMB or large-scale structures of the Universe. Thus, our mechanism can evade the constraint from the nondetection of the CMB distortion set by the COBE/FIRAS measurement. Our model predicts the existence of supermassive black holes even at redshifts much higher than those observed. Hence, our model can be tested by future observations peeking into the higher-redshift Universe.

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Simple Cosmological Solution to the Higgs Instability Problem in the   Chaotic Inflation and Formation of Primordial Black Holes

Published Paper #: 485

Authors:, Masahiro Kawasaki, Kyohei Mukaida, Tsutomu T. Yanagida,

Journal: Phys. Rev. D 94, 063509 (2016)

url: http://arxiv.org/pdf/1605.04974v3.pdf

Abstract: We revisit the compatibility between the chaotic inflation, which provides a natural solution to the initial condition problem, and the metastable electroweak vacuum, which is suggested by the results of LHC and the current mass measurements of top quark and Higgs boson. It is known that the chaotic inflation poses a threat to the stability of the electroweak vacuum because it easily generates large Higgs fluctuations during inflation or preheating and triggers the catastrophic vacuum decay. In this paper, we propose a simple cosmological solution in which the vacuum is stabilized during chaotic inflation, preheating and after that. This simple solution naturally predicts the formation of primordial black holes. We find interesting parameter regions where the present dark matter density is provided by them. Also, the thermal leptogenesis can be accommodated in our scenario.

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The Black Hole Mass Function from Gravitational Wave Measurements

Published Paper #: 484

Authors:, Ely D. Kovetz, Ilias Cholis, Patrick C. Breysse, Marc Kamionkowski,

Journal: Phys. Rev. D 95, 103010 (2017)

url: http://arxiv.org/pdf/1611.01157v1.pdf

Abstract: We examine how future gravitational-wave measurements from merging black holes (BHs) can be used to infer the shape of the black-hole mass function, with important implications for the study of star formation and evolution and the properties of binary BHs. We model the mass function as a power law, inherited from the stellar initial mass function, and introduce lower and upper mass cutoff parameterizations in order to probe the minimum and maximum BH masses allowed by stellar evolution, respectively. We initially focus on the heavier BH in each binary, to minimize model dependence. Taking into account the experimental noise, the mass measurement errors and the uncertainty in the redshift-dependence of the merger rate, we show that the mass function parameters, as well as the total rate of merger events, can be measured to <10% accuracy within a few years of advanced LIGO observations at its design sensitivity. This can be used to address important open questions such as the upper limit on the stellar mass which allows for BH formation and to confirm or refute the currently observed mass gap between neutron stars and BHs. In order to glean information on the progenitors of the merging BH binaries, we then advocate the study of the two-dimensional mass distribution to constrain parameters that describe the two-body system, such as the mass ratio between the two BHs, in addition to the merger rate and mass function parameters. We argue that several years of data collection can efficiently probe models of binary formation, and show, as an example, that the hypothesis that some gravitational-wave events may involve primordial black holes can be tested. Finally, we point out that in order to maximize the constraining power of the data, it may be worthwhile to lower the signal-to-noise threshold imposed on each candidate event and amass a larger statistical ensemble of BH mergers.

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PBH Dark Matter in Supergravity Inflation Models

Published Paper #: 483

Authors:, Masahiro Kawasaki, Alexander Kusenko, Yuichiro Tada, Tsutomu T. Yanagida,

Journal: Phys. Rev. D 94, 083523 (2016)

url: http://arxiv.org/pdf/1606.07631v2.pdf

Abstract: We propose a novel scenario to produce abundant primordial black holes (PBHs) in new inflation which is a second phase of a double inflation in the supergravity frame work. In our model, some preinflation phase before the new inflation is assumed and it would be responsible for the primordial curvature perturbations on the cosmic microwave background scale, while the new inflation produces only the small scale perturbations. Our new inflation model has linear, quadratic, and cubic terms in its potential and PBH production corresponds with its flat inflection point. The linear term can be interpreted to come from a supersymmetry-breaking sector, and with this assumption, the vanishing cosmological constant condition after inflation and the flatness condition for the inflection point can be consistently satisfied.

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The clustering of massive Primordial Black Holes as Dark Matter:   measuring their mass distribution with Advanced LIGO

Published Paper #: 482

Authors:, Sebastien Clesse, Juan García-Bellido,

Journal: Physics of the Dark Universe 10 (2016) 002

url: http://arxiv.org/pdf/1603.05234v2.pdf

Abstract: The recent detection by Advanced LIGO of gravitational waves (GW) from the merging of a binary black hole system sets new limits on the merging rates of massive primordial black holes (PBH) that could be a significant fraction or even the totality of the dark matter in the Universe. aLIGO opens the way to the determination of the distribution and clustering of such massive PBH. If PBH clusters have a similar density to the one observed in ultra-faint dwarf galaxies, we find merging rates comparable to aLIGO expectations. Massive PBH dark matter predicts the existence of thousands of those dwarf galaxies where star formation is unlikely because of gas accretion onto PBH, which would possibly provide a solution to the missing satellite and too-big-to-fail problems. Finally, we study the possibility of using aLIGO and future GW antennas to measure the abundance and mass distribution of PBH in the range [5 - 200] Msun to 10\% accuracy.

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Gravitational wave production by Hawking radiation from rotating   primordial black holes

Published Paper #: 481

Authors:, Ruifeng Dong, William H. Kinney, Dejan Stojkovic,

Journal: JCAP10(2016)034

url: http://arxiv.org/pdf/1511.05642v3.pdf

Abstract: In this paper we analyze in detail a rarely discussed question of gravity wave production from evaporating primordial black holes. These black holes emit gravitons which are, at classical level, registered as gravity waves. We use the latest constraints on their abundance, and calculate the power emitted in gravitons at the time of their evaporation. We then solve the coupled system of equations that gives us the evolution of the frequency and amplitude of gravity waves during the expansion of the universe. The spectrum of gravitational waves that can be detected today depends on multiple factors: fraction of the total energy density which was occupied by primordial black holes, the epoch in which they were formed, and quantities like their mass and angular momentum. We conclude that very small primordial black holes which evaporate before the big-bang nucleosynthesis emit gravitons whose spectral energy fraction today can be as large as $10^{-7.5}$. On the other hand, those which are massive enough so that they still exist now can yield a signal as high as $10^{-6.5}$. However, typical frequencies of the gravity waves from primordial black holes are still too high to be observed with the current and near future gravity wave observations.

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Microlensing and dynamical constraints on primordial black hole dark   matter with an extended mass function

Published Paper #: 480

Authors:, Anne M. Green,

Journal: Phys. Rev. D 94, 063530 (2016)

url: http://arxiv.org/pdf/1609.01143v2.pdf

Abstract: The recent discovery of gravitational waves from mergers of $\sim 10 \, M_{\odot}$ black hole binaries has stimulated interested in Primordial Black Hole dark matter in this mass range. Microlensing and dynamical constraints exclude all of the dark matter being in compact objects with a delta function mass function in the range $10^{-7} \lesssim M/ M_{\odot} \lesssim 10^{5}$. However it has been argued that all of the dark matter could be composed of compact objects in this range with an extended mass function. We explicitly recalculate the microlensing and dynamical constraints for compact objects with an extended mass function which replicates the PBH mass function produced by inflation models. We find that the microlensing and dynamical constraints place conflicting constraints on the width of the mass function, and do not find a mass function which satisfies both constraints.

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Do Some AGN Lack X-ray Emission?

Published Paper #: 479

Authors:, Charlotte Simmonds, Franz E. Bauer, Trinh X. Thuan, Yuri I. Izotov, Daniel Stern, Fiona A. Harrison,

Journal: A&A 596, A64 (2016)

url: http://arxiv.org/pdf/1609.07619v1.pdf

Abstract: $Context:$ Intermediate-Mass Black Holes (IMBHs) are thought to be the seeds of early Supermassive Black Holes (SMBHs). While $\gtrsim$100 IMBH and small SMBH candidates have been identified in recent years, few have been robustly confirmed to date, leaving their number density in considerable doubt. Placing firmer constraints both on the methods used to identify and confirm IMBHs/SMBHs, as well as characterizing the range of host environments that IMBHs/SMBHs likely inhabit is therefore of considerable interest and importance. Additionally, finding significant numbers of IMBHs in metal-poor systems would be particularly intriguing, since such systems may represent local analogs of primordial galaxies, and therefore could provide clues of early accretion processes.   $Aims:$ Here we study in detail several candidate Active Galactic Nuclei (AGN) found in metal-poor hosts.   $Methods:$ We utilize new X-ray and optical observations to characterize these metal-poor AGN candidates and compare them against known AGN luminosity relations and well-characterized IMBH/SMBH samples.   $Results:$ Despite having clear broad optical emission lines that are long-lived ($\gtrsim$10--13\,yr), these candidate AGN appear to lack associated strong X-ray and hard UV emission, lying at least 1--2 dex off the known AGN correlations. If they are IMBHs/SMBHs, our constraints imply that they either are not actively accreting, their accretion disks are fully obscured along our line-of-sight, or their accretion disks are not producing characteristic high energy emission. Alternatively, if they are not AGN, then their luminous broad emission lines imply production by extreme stellar processes. The latter would have profound implications on the applicability of broad lines for mass estimates of massive black holes.

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Spherical and nonspherical models of primordial black hole formation:   exact solutions

Published Paper #: 478

Authors:, Tomohiro Harada, Sanjay Jhingan,

Journal: Prog.Theor.Exp.Phys. (2016) 093E04

url: http://arxiv.org/pdf/1512.08639v2.pdf

Abstract: We construct spacetimes which provide spherical and nonspherical models of black hole formation in the flat Friedmann--Lemaitre--Robertson--Walker (FLRW) universe with the Lemaitre--Tolman--Bondi solution and the Szekeres quasispherical solution, respectively. These dust solutions may contain both shell-crossing and shell-focusing naked singularities. These singularities can be physically regarded as the breakdown of dust description, where strong pressure gradient force plays a role. We adopt the simultaneous big bang condition to extract a growing mode of adiabatic perturbation in the flat FLRW universe. If the density perturbation has a sufficiently homogeneous central region and a sufficiently sharp transition to the background FLRW universe, its central shell-focusing singularity is globally covered. If the density concentration is sufficiently large, no shell-crossing singularity appears and a black hole is formed. If the density concentration is not sufficiently large, a shell-crossing singularity appears. In this case, a large dipole moment significantly advances shell-crossing singularities and they tend to appear before the black hole formation. In contrast, a shell-crossing singularity unavoidably appears in the spherical and nonspherical evolution of cosmological voids. The present analysis is general and applicable to cosmological nonlinear structure formation described by these dust solutions.

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Shocks in the Early Universe

Published Paper #: 477

Authors:, Ue-Li Pen, Neil Turok,

Journal: Phys. Rev. Lett. 117, 131301 (2016)

url: http://arxiv.org/pdf/1510.02985v2.pdf

Abstract: We point out a surprising consequence of the usually assumed initial conditions for cosmological perturbations. Namely, a spectrum of Gaussian, linear, adiabatic, scalar, growing mode perturbations not only creates acoustic oscillations of the kind observed on very large scales today, it also leads to the production of shocks in the radiation fluid of the very early universe. Shocks cause departures from local thermal equilibrium as well as creating vorticity and gravitational waves. For a scale-invariant spectrum and standard model physics, shocks form for temperatures $1$ GeV$<T<10^{7}$ GeV. For more general power spectra, such as have been invoked to form primordial black holes, shock formation and the consequent gravitational wave emission provides a signal detectable by current and planned gravitational wave experiments, allowing them to strongly constrain conditions present in the primordial universe as early as $10^{-30}$ seconds after the big bang.

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Stochastic Gravitational-Wave Background due to Primordial Binary Black   Hole Mergers

Published Paper #: 476

Authors:, Vuk Mandic, Simeon Bird, Ilias Cholis,

Journal: Phys. Rev. Lett. 117, 201102 (2016)

url: http://arxiv.org/pdf/1608.06699v1.pdf

Abstract: Recent Advanced LIGO detections of binary black hole mergers have prompted multiple studies investigating the possibility that the heavy GW150914 binary system was of primordial origin, and hence could be evidence for dark matter in the form of black holes. We compute the stochastic background arising from the incoherent superposition of such primordial binary black hole systems in the universe and compare it to the similar background spectrum due to binary black hole systems of stellar origin. We investigate the possibility of detecting this background with future gravitational wave detectors, and discuss the possibility of using the stochastic gravitational-wave background measurement to constrain the dark matter component in the form of black holes.

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Constraining the Rate of Primordial Black-Hole Explosions and Extra   Dimension Scale using a Low-Frequency Radio Antenna Array

Published Paper #: 475

Authors:, Sean E. Cutchin, John H. Simonetti, Steven W. Ellingson, Amanda S. Larracuente, Michael J. Kavic,

Journal: PASP 127 1269 (2015)

url: http://arxiv.org/pdf/1608.01945v3.pdf

Abstract: An exploding primordial black-hole (PBH) may produce a single pulse of electromagnetic radiation detectable at the low-frequency end of the radio spectrum. Furthermore, a radio transient from an exploding PBH could be a signature of an extra spatial dimension. We describe here an approach for searching for PBH explosions using a low-frequency radio antenna array, and as a practical example, the results of a such a search using the Eight-meter-wavelength Transient Array (ETA). No compelling astrophysical signal was detected in $\approx 4$ hours of data implying an observational upper limit on the rate of exploding PBHs is $4.2 \times 10^{-7} \,\rm{pc}^{-3}\,\rm{yr}^{-1}$ for an exploding PBH with a fireball Lorentz factor of $10^{4.5}$ for the standard scenario of Page and Hawking. This rate limit is the strongest constraint yet set for PBH explosions with this fireball Lorentz factor. Observations ($\sim300$ hours) using the Arecibo Observatory were used to set a stronger constraint on the rate of PBH explosions for a fireball Lorentz factor of $10^{4.6}$ but the limit set by those observations for the fireball Lorentz factor considered here are less stringent by more than an order of magnitude. The limits considered here are applicable to exploding PBHs in the halo of the Galaxy. These observations also imply an upper limit of $2.0 \times 10^{-4} \,\rm{pc}^{-3}\,\rm{yr}^{-1}$ on the rate of PBH explosions in the context of certain extra dimension models as described by Kavic et al. This rate limit is for a fireball Lorentz factor of $10^{4.3}$ which corresponds to an extra dimension compactification scale of $3.0 \times 10^{-18}$m.

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Primordial black holes as a novel probe of primordial gravitational   waves. II: Detailed analysis

Published Paper #: 474

Authors:, Tomohiro Nakama, Teruaki Suyama,

Journal: Phys. Rev. D 94, 043507 (2016)

url: http://arxiv.org/pdf/1605.04482v2.pdf

Abstract: Recently we have proposed a novel method to probe primordial gravitational waves from upper bounds on the abundance of primordial black holes (PBHs). When the amplitude of primordial tensor perturbations generated in the early Universe is fairly large, they induce substantial scalar perturbations due to their second-order effects. If these induced scalar perturbations are too large when they reenter the horizon, then PBHs are overproduced, their abundance exceeding observational upper limits. That is, primordial tensor perturbations on superhorizon scales can be constrained from the absence of PBHs. In our recent paper we have only shown simple estimations of these new constraints, and hence in this paper, we present detailed derivations, solving the Einstein equations for scalar perturbations induced at second order in tensor perturbations. We also derive an approximate formula for the probability density function of induced density perturbations, necessary to relate the abundance of PBHs to the primordial tensor power spectrum, assuming primordial tensor perturbations follow Gaussian distributions. Our new upper bounds from PBHs are compared with other existing bounds obtained from big bang nucleosynthesis, cosmic microwave background, LIGO/Virgo and pulsar timing arrays.

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Trapping effects in inflation: blue spectrum at small scales

Published Paper #: 473

Authors:, Edgar Bugaev, Peter Klimai,

Journal: Phys. Rev. D 94, 023517 (2016)

url: http://arxiv.org/pdf/1511.06175v2.pdf

Abstract: We consider the inflationary model in which the inflaton $\phi$ couples to another scalar field $\chi$ via the interaction $g^2(\phi-\phi_0)^2\chi^2$ with a small coupling constant $g$ ($g^2 \sim 10^{-7}$). We assume that there is a sequence of "trapping points" $\phi_{0i}$ along the inflationary trajectory where particles of $\chi$-field become massless and are rather effectively produced. We calculate the power spectrum of inflaton field fluctuations originated from a backreaction of $\chi$-particles produced, using the Schwinger's "in-in" formalism. We show that the primary curvature power spectrum produced by these backreaction effects is blue, which leads to a strong overproduction of primordial black holes (PBHs) in subsequent radiation era.

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Orbital eccentricities in primordial black holes binaries

Published Paper #: 472

Authors:, Ilias Cholis, Ely D. Kovetz, Yacine Ali-Haïmoud, Simeon Bird, Marc Kamionkowski, Julian B. Muñoz, Alvise Raccanelli,

Journal: Phys. Rev. D 94, 084013 (2016)

url: http://arxiv.org/pdf/1606.07437v1.pdf

Abstract: It was recently suggested that the merger of $\sim30\,M_\odot$ primordial black holes (PBHs) may provide a significant number of events in gravitational-wave observatories over the next decade, if they make up an appreciable fraction of the dark matter. Here we show that measurement of the eccentricities of the inspiralling binary black holes can be used to distinguish these binaries from those produced by more traditional astrophysical mechanisms. These PBH binaries are formed on highly eccentric orbits and can then merge on timescales that in some cases are years or less, retaining some eccentricity in the last seconds before the merger. This is to be contrasted with massive-stellar-binary, globular-cluster, or other astrophysical origins for binary black holes (BBHs) in which the orbits have very effectively circularized by the time the BBH enters the observable LIGO window. Here we discuss the features of the gravitational-wave signals that indicate this eccentricity and forecast the sensitivity of LIGO and the Einstein Telescope to such effects. We show that if PBHs make up the dark matter, then roughly one event should have a detectable eccentricity given LIGO's expected sensitivity and observing time of six years. The Einstein Telescope should see $O(10)$ such events after ten years.

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Did LIGO detect dark matter?

Published Paper #: 471

Authors:, Simeon Bird, Ilias Cholis, Julian B. Muñoz, Yacine Ali-Haïmoud, Marc Kamionkowski, Ely D. Kovetz, Alvise Raccanelli, Adam G. Riess,

Journal: Phys. Rev. Lett. 116, 201301 (2016)

url: http://arxiv.org/pdf/1603.00464v2.pdf

Abstract: We consider the possibility that the black-hole (BH) binary detected by LIGO may be a signature of dark matter. Interestingly enough, there remains a window for masses $20\,M_\odot \lesssim M_{\rm bh} \lesssim 100\, M_\odot$ where primordial black holes (PBHs) may constitute the dark matter. If two BHs in a galactic halo pass sufficiently close, they radiate enough energy in gravitational waves to become gravitationally bound. The bound BHs will rapidly spiral inward due to emission of gravitational radiation and ultimately merge. Uncertainties in the rate for such events arise from our imprecise knowledge of the phase-space structure of galactic halos on the smallest scales. Still, reasonable estimates span a range that overlaps the $2-53$ Gpc$^{-3}$ yr$^{-1}$ rate estimated from GW150914, thus raising the possibility that LIGO has detected PBH dark matter. PBH mergers are likely to be distributed spatially more like dark matter than luminous matter and have no optical nor neutrino counterparts. They may be distinguished from mergers of BHs from more traditional astrophysical sources through the observed mass spectrum, their high ellipticities, or their stochastic gravitational wave background. Next generation experiments will be invaluable in performing these tests.

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Primordial black holes as a novel probe of primordial gravitational   waves

Published Paper #: 470

Authors:, Tomohiro Nakama, Teruaki Suyama,

Journal: Phys. Rev. D 92, 121304 (2015)

url: http://arxiv.org/pdf/1506.05228v2.pdf

Abstract: We propose a novel method to probe primordial gravitational waves by means of primordial black holes (PBHs). When the amplitude of primordial tensor perturbations on comoving scales much smaller than those relevant to Cosmic Microwave Background is very large, it induces scalar perturbations due to second-order effects substantially. If the amplitude of resultant scalar perturbations becomes too large, then PBHs are overproduced to a level that is inconsistent with a variety of existing observations constraining their abundance. This leads to upper bounds on the amplitude of initial tensor perturbations on super-horizon scales. These upper bounds from PBHs are compared with other existing bounds.

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LIGO gravitational wave detection, primordial black holes and the   near-IR cosmic infrared background anisotropies

Published Paper #: 469

Authors:, A. Kashlinsky,

Journal: ApJLetters, 823, L25 (2016)

url: http://arxiv.org/pdf/1605.04023v1.pdf

Abstract: LIGO's discovery of a gravitational wave from two merging black holes (BHs) of similar masses rekindled suggestions that primordial BHs (PBHs) make up the dark matter (DM). If so, PBHs would add a Poissonian isocurvature density fluctuation component to the inflation-produced adiabatic density fluctuations. For LIGO's BH parameters, this extra component would dominate the small-scale power responsible for collapse of early DM halos at z>10, where first luminous sources formed. We quantify the resultant increase in high-z abundances of collapsed halos that are suitable for producing the first generation of stars and luminous sources. The significantly increased abundance of the early halos would naturally explain the observed source-subtracted near-IR cosmic infrared background (CIB) fluctuations, which cannot be accounted for by known galaxy populations. For LIGO's BH parameters this increase is such that the observed CIB fluctuation levels at 2 to 5 micron can be produced if only a tiny fraction of baryons in the collapsed DM halos forms luminous sources. Gas accretion onto these PBHs in collapsed halos, where first stars should also form, would straightforwardly account for the observed high coherence between the CIB and unresolved cosmic X-ray background in soft X-rays. We discuss modifications possibly required in the processes of first star formation if LIGO-type BHs indeed make up the bulk or all of DM. The arguments are valid only if the PBHs make up all, or at least most, of DM, but at the same time the mechanism appears inevitable if DM is made of PBHs.

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Effects of Critical Collapse on Primordial Black-Hole Mass Spectra

Published Paper #: 468

Authors:, Florian Kuhnel, Cornelius Rampf, Marit Sandstad,

Journal: Eur.Phys.J. C76 (2016) 2, 93

url: http://arxiv.org/pdf/1512.00488v4.pdf

Abstract: Certain inflationary models as well as realisations of phase transitions in the early Universe predict the formation of primordial black holes. For most mass ranges, the fraction of matter in the form of primordial black holes is limited by many different observations on various scales. Primordial black holes are assumed to be formed when overdensities that cross the horizon have Schwarzschild radii larger than the horizon. Traditionally it was therefore assumed that primordial black-hole masses were equal to the horizon mass at their time of formation. However, detailed calculations of their collapse show that primordial black holes formed at each point in time should rather form a spectrum of different masses, obeying critical scaling. Though this has been known for more than fifteen years, the effect of this scaling behaviour is largely ignored when considering predictions for primordial black hole mass spectra. In this paper we consider the critical collapse scaling for a variety of models which produce primordial black holes, and find that it generally leads to a shift, broadening and an overall decrease of the mass contained in primordial black holes. This effect is model and parameter dependent and cannot be contained by a constant rescaling of the spectrum; it can become important and should be taken into account when comparing to observational constraints.

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On Ellipsoidal Collapse and Primordial Black-Hole Formation

Published Paper #: 467

Authors:, Florian Kuhnel, Marit Sandstad,

Journal: Phys. Rev. D 94, 063514 (2016)

url: http://arxiv.org/pdf/1602.04815v3.pdf

Abstract: We reinvestigate gravitational ellipsoidal collapse with special focus on its impact on primordial black-hole formation. For a generic model we demonstrate that the abundance and energy density of the produced primordial black holes will be significantly decreased when the non-sphericity of the overdensities is taken into account.

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Determining the progenitors of merging black-hole binaries

Published Paper #: 466

Authors:, Alvise Raccanelli, Ely D. Kovetz, Simeon Bird, Ilias Cholis, Julian B. Munoz,

Journal: Phys. Rev. D 94, 023516 (2016)

url: http://arxiv.org/pdf/1605.01405v1.pdf

Abstract: We investigate a possible method for determining the progenitors of black hole (BH) mergers observed via their gravitational wave (GW) signal. We argue that measurements of the cross-correlation of the GW events with overlapping galaxy catalogs may provide an additional tool in determining if BH mergers trace the stellar mass of the Universe, as would be expected from mergers of the endpoints of stellar evolution. If on the other hand the BHs are of primordial origin, as has been recently suggested, their merging would be preferentially hosted by lower biased objects, and thus have a lower cross-correlation with luminous galaxies. Here we forecast the expected precision of the cross-correlation measurement for current and future GW detectors such as LIGO and the Einstein Telescope. We then predict how well these instruments can distinguish the model that identifies high-mass BH-BH mergers as the merger of primordial black holes that constitute the dark matter in the Universe from more traditional astrophysical sources.

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Constraints on primordial black holes from Galactic gamma-ray background

Published Paper #: 465

Authors:, B. J. Carr, Kazunori Kohri, Yuuiti Sendouda, Jun'ichi Yokoyama,

Journal: Phys. Rev. D 94, 044029 (2016)

url: http://arxiv.org/pdf/1604.05349v1.pdf

Abstract: The fraction of the Universe going into primordial black holes (PBHs) with initial mass M_* \approx 5 \times 10^{14} g, such that they are evaporating at the present epoch, is strongly constrained by observations of both the extragalactic and Galactic gamma-ray backgrounds. However, while the dominant contribution to the extragalactic background comes from the time-integrated emission of PBHs with initial mass M_*, the Galactic background is dominated by the instantaneous emission of those with initial mass slightly larger than M_* and current mass below M_*. Also, the instantaneous emission of PBHs smaller than 0.4 M_* mostly comprises secondary particles produced by the decay of directly emitted quark and gluon jets. These points were missed in the earlier analysis by Lehoucq et al. using EGRET data. For a monochromatic PBH mass function, with initial mass (1+\mu) M_* and \mu << 1, the current mass is (3\mu)^{1/3} M_* and the Galactic background constrains the fraction of the Universe going into PBHs as a function of \mu. However, the initial mass function cannot be precisely monochromatic and even a tiny spread of mass around M_* would generate a current low-mass tail of PBHs below M_*. This tail would be the main contributor to the Galactic background, so we consider its form and the associated constraints for a variety of scenarios with both extended and nearly-monochromatic initial mass functions. In particular, we consider a scenario in which the PBHs form from critical collapse and have a mass function which peaks well above M_*. In this case, the largest PBHs could provide the dark matter without the M_* ones exceeding the gamma-ray background limits.

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Primordial Black Holes Formation from Particle Production during   Inflation

Published Paper #: 464

Authors:, Encieh Erfani,

Journal: JCAP04(2016)020

url: http://arxiv.org/pdf/1511.08470v2.pdf

Abstract: We study the possibility that particle production during inflation can source the required power spectrum for dark matter (DM) primordial black holes (PBH) formation. We consider the scalar and the gauge quanta production in inflation models, where in the latter case, we focus in two sectors: inflaton coupled i) directly and ii) gravitationally to a $U(1)$ gauge field. We do not assume any specific potential for the inflaton field. Hence, in the gauge production case, in a model independent way we show that the non-production of DM PBHs puts stronger upper bound on the particle production parameter. Our analysis show that this bound is more stringent than the bounds from the bispectrum and the tensor-to-scalar ratio derived by gauge production in these models. In the scenario where the inflaton field coupled to a scalar field, we put an upper bound on the amplitude of the generated scalar power spectrum by non-production of PBHs. As a by-product we also show that the required scalar power spectrum for PBHs formation is lower when the density perturbations are non-Gaussian in comparison to the Gaussian density perturbations.

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Non-thermal WIMPs and Primordial Black Holes

Published Paper #: 463

Authors:, Julian Georg, Gizem Şengör, Scott Watson,

Journal: Phys. Rev. D 93, 123523 (2016)

url: http://arxiv.org/pdf/1603.00023v1.pdf

Abstract: Non-thermal histories for the early universe have received notable attention as they are a rich source of phenomenology, while also being well motivated by top-down approaches to beyond the Standard Model physics. The early (pre-BBN) matter phase in these models leads to enhanced growth of density perturbations on sub-Hubble scales. Here we consider whether primordial black hole formation associated with the enhanced growth is in conflict with existing observations. Such constraints depend on the tilt of the primordial power spectrum, and we find that non-thermal histories are tightly constrained in the case of a significantly blue spectrum. Alternatively, if dark matter is taken to be of non-thermal origin we can restrict the primordial power spectrum on scales inaccessible to CMB and LSS observations. We establish constraints for a wide range of scalar masses (reheat temperatures) with the most stringent bounds resulting from the formation of $10^{15}$ g black holes. These black holes would be evaporating today and are constrained by FERMI observations. We also consider whether the breakdown of the coherence of the scalar oscillations on sub-horizon scales can lead to a Jean's pressure preventing black hole formation and relaxing our constraints. Our main conclusion is that primordial black hole constraints, combined with existing constraints on non-thermal WIMPs, favor a primordial spectrum closer to scale invariance or a red tilted spectrum.

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Phenomenology of bouncing black holes in quantum gravity: a closer look

Published Paper #: 462

Authors:, Aurelien Barrau, Boris Bolliet, Francesca Vidotto, Celine Weimer,

Journal: JCAP02(2016)022

url: http://arxiv.org/pdf/1507.05424v3.pdf

Abstract: It was recently shown that black holes could be bouncing stars as a consequence of quantum gravity. We investigate the astrophysical signals implied by this hypothesis, focusing on primordial black holes. We consider different possible bounce times and study the integrated diffuse emission.

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White Holes as the Asymptotic Limit of Evaporating Primordial Black   Holes

Published Paper #: 461

Authors:, Jeffrey S. Lee, Gerald B. Cleaver,

Journal: International Journal of Modern Physics A Vol. 31 (2016) 1650162

url: http://arxiv.org/pdf/1602.05505v1.pdf

Abstract: This paper examines the interaction of an intense fermion field with all of the particle species of an attometer primordial black hole's (PBH)'s high energy Hawking radiation spectrum. By extrapolating to Planck-sized PBH's, it is shown that, although Planck-sized PBH's closely simulate the zero absorption requirement of white holes, the absorption probability is not truly zero, and therefore, thermodynamically, Planck-sized PBH's are not true white holes.

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The DRAGON simulations: globular cluster evolution with a million stars

Published Paper #: 460

Authors:, Long Wang, Rainer Spurzem, Sverre Aarseth, Mirek Giersz, Abbas Askar, Peter Berczik, Thorsten Naab, Riko Schadow, M. B. N. Kouwenhoven,

Journal: MNRAS 458, 1450-1465 (2016)

url: http://arxiv.org/pdf/1602.00759v1.pdf

Abstract: Introducing the DRAGON simulation project, we present direct $N$-body simulations of four massive globular clusters (GCs) with $10^6$ stars and 5$\%$ primordial binaries at a high level of accuracy and realism. The GC evolution is computed with NBODY6++GPU and follows the dynamical and stellar evolution of individual stars and binaries, kicks of neutron stars and black holes, and the effect of a tidal field. We investigate the evolution of the luminous (stellar) and dark (faint stars and stellar remnants) GC components and create mock observations of the simulations (i.e. photometry, color-magnitude diagrams, surface brightness and velocity dispersion profiles). By connecting internal processes to observable features we highlight the formation of a long-lived 'dark' nuclear subsystem made of black holes (BHs), which results in a two-component structure. The inner core is dominated by the BH subsystem and experiences a core collapse phase within the first Gyr. It can be detected in the stellar (luminous) line-of-sight velocity dispersion profiles. The outer extended core - commonly observed in the (luminous) surface brightness profiles - shows no collapse features and is continuously expanding. We demonstrate how a King (1966) model fit to observed clusters might help identify the presence of post core-collapse BH subsystems. For global observables like core and half-mass radii the direct simulations agree well with Monte-Carlo models. Variations in the initial mass function can result in significantly different GC properties (e.g. density distributions) driven by varying amounts of early mass loss and the number of forming BHs.

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A numerical study of pseudoscalar inflation with an axion-gauge field   coupling

Published Paper #: 459

Authors:, Shu-Lin Cheng, Wolung Lee, Kin-Wang Ng,

Journal: Phys. Rev. D 93, 063510 (2016)

url: http://arxiv.org/pdf/1508.00251v2.pdf

Abstract: A numerical study of a pseudoscalar inflation having an axion-photon-like coupling is performed by solving numerically the coupled differential equations of motion for inflaton and photon mode functions from the onset of inflation to the end of reheating. The backreaction due to particle production is also included self-consistently. We find that this particular inflation model realizes the idea of a warm inflation in which a steady thermal bath is established by the particle production. In most cases this thermal bath exceeds the amount of radiation released in the reheating process. In the strong coupling regime, the transition from the inflationary to the radiation-dominated phase does not involve either a preheating or reheating process. In addition, energy density peaks produced near the end of inflation may lead to the formation of primordial black holes.

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Baryon number conservation in Bose-Einstein condensate black holes

Published Paper #: 458

Authors:, Florian Kühnel, Marit Sandstad,

Journal: Phys. Rev. D 92, 124028 (2015)

url: http://arxiv.org/pdf/1506.08823v2.pdf

Abstract: Primordial black holes are studied in the Bose-Einstein condensate description of space-time. The question of baryon-number conservation is investigated with emphasis on possible formation of bound states of the system's remaining captured baryons. This leads to distinct predictions for both the formation time, which for the naively natural assumptions is shown to lie between $10^{-12}\.\srm$ to $10^{12}\.\srm$ after Big Bang, as well as for the remnant's mass, yielding approximately $3 \cdot 10^{23}\.{\rm kg}$ in the same scheme. The consequences for astrophysically formed black holes are also considered.

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How can young massive clusters reach their present-day sizes?

Published Paper #: 457

Authors:, Sambaran Banerjee, Pavel Kroupa,

Journal: A&A 597, A28 (2017)

url: http://arxiv.org/pdf/1510.04293v1.pdf

Abstract: The classic question that how young massive star clusters attain their shapes and sizes, as we find them today, remains to be a challenge. Both observational and computational studies of star-forming massive molecular gas clouds infer that massive cluster formation is primarily triggered along the small-scale ($\lesssim0.3$ pc) filamentary substructures within the clouds. The present study is intended to investigate the possible ways in which a filament-like-compact, massive star cluster (effective radius 0.1-0.3 pc) can expand $\gtrsim10$ times, still remaining massive enough ($\gtrsim10^4 M_\odot$), to become a young massive star cluster, as we observe today. To that end, model massive clusters (of initially $10^4 M_\odot-10^5 M_\odot$) are evolved using Sverre Aarseth's state-of-the-art N-body code NBODY7. All the computed clusters expand with time, whose sizes (effective radii) are compared with those observed for young massive clusters, of age $\lesssim100$ Myr, in the Milky Way and other nearby galaxies. It is found that beginning from the above compact sizes, a star cluster cannot expand by its own, i.e., due to two-body relaxation, stellar-evolutionary mass loss, dynamical heating by primordial binaries and stellar-mass black holes, up to the observed sizes of young massive clusters; they always remain much more compact compared to the observed ones. This calls for additional mechanisms that can boost the expansion of a massive cluster after its assembly. Using further N-body calculations, it is shown that a substantial residual gas expulsion, with $\approx30$% star formation efficiency, can indeed swell the newborn embedded cluster adequately. The limitations of the present calculations and their consequences are discussed.

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The chemical evolution of self-gravitating primordial disks

Published Paper #: 456

Authors:, Dominik R. G. Schleicher, Stefano Bovino, Muhammad A. Latif, Andrea Ferrara, Tommaso Grassi,

Journal: A&A 585, A11 (2016)

url: http://arxiv.org/pdf/1504.06296v2.pdf

Abstract: Numerical simulations show the formation of self-gravitating primordial disks during the assembly of the first structures in the Universe, in particular during the formation of Pop.~III and supermassive stars. Their subsequent evolution is expected to be crucial to determine the mass scale of the first cosmological objects, which depends on the temperature of the gas and the dominant cooling mechanism. Here, we derive a one-zone framework to explore the chemical evolution of such disks and show that viscous heating leads to the collisional dissociation of an initially molecular gas. The effect is relevant on scales of 10 AU (1000 AU) for a central mass of 10 M_sun (10^4 M_sun) at an accretion rate of 10^{-1} M_sun yr^{-1}, and provides a substantial heat input to stabilize the disk. If the gas is initially atomic, it remains atomic during the further evolution, and the effect of viscous heating is less significant. The additional thermal support is particularly relevant for the formation of very massive objects, such as the progenitors of the first supermassive black holes. The stabilizing impact of viscous heating thus alleviates the need for a strong radiation background as a means of keeping the gas atomic.

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Regular black hole remnants and graviatoms with de Sitter interior as   heavy dark matter candidates probing inhomogeneity of early universe

Published Paper #: 455

Authors:, Irina Dymnikova, Maxim Khlopov,

Journal: International Journal of Modern Physics D Vol. 24, No. 11 (2015)
 1545002 (special issue "Composite dark matter")

url: http://arxiv.org/pdf/1510.01351v1.pdf

Abstract: We address the question of regular primordial black holes with de Sitter interior, their remnants and gravitational vacuum solitons G-lumps as heavy dark matter candidates providing signatures for inhomogeneity of early universe, which is severely constrained by the condition that the contribution of these objects in the modern density does not exceed the total density of dark matter. Primordial black holes and their remnants seem to be most elusive among dark matter candidates. However, we reveal a nontrivial property of compact objects with de Sitter interior to induce proton decay or decay of neutrons in neutron stars. The point is that they can form graviatoms, binding electrically charged particles. Their observational signatures as dark matter candidates provide also signatures for inhomogeneity of the early universe. In graviatoms, the cross-section of the induced proton decay is strongly enhanced, what provides the possibility of their experimental searches. We predict proton decay paths induced by graviatoms in the matter as an observational signature for heavy dark matter searches at the IceCUBE experiment.

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The first galaxies: simulating their feedback-regulated assembly

Published Paper #: 454

Authors:, Myoungwon Jeon, Volker Bromm, Andreas H. Pawlik, Milos Milosavljevic,

Journal: MNRAS, 452, 1152, 2015

url: http://arxiv.org/pdf/1501.01002v2.pdf

Abstract: We investigate the formation of a galaxy reaching a virial mass of $~ 10^8$ solar mass at $z=10$ by carrying out a zoomed radiation-hydrodynamical cosmological simulation. This simulation traces Population~III (Pop~III) star formation, characterized by a modestly top-heavy initial mass function (IMF), and considers stellar feedback such as photoionization heating from Pop III and Population~II (Pop~II) stars, mechanical and chemical feedback from supernovae (SNe), and X-ray feedback from accreting black holes (BHs) and high-mass X-ray binaries (HMXBs). We self-consistently impose a transition in star formation mode from top-heavy Pop III to low-mass Pop~II, and find that the star formation rate in the computational box is dominated by Pop~III until $z=13$, and by Pop~II thereafter. The simulated galaxy experiences bursty star formation, with a substantially reduced gas content due to photoionization heating from Pop~III and Pop~II stars, together with SN feedback. All the gas within the simulated galaxy is metal-enriched above $10^{-5}$ solar, such that there are no remaining pockets of primordial gas. The simulated galaxy has an estimated observed flux of $~10^{-3} nJy$, which is too low to be detected by the James Webb Space Telescope (JWST) without strong lensing amplification. We also show that our simulated galaxy is similar in terms of stellar mass to Segue 2, the least luminous dwarf known in the Local Group.

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Streched String with Self-Interaction at the Hagedorn Point: Spatial   Sizes and Black Hole

Published Paper #: 453

Authors:, Yachao Qian, Ismail Zahed,

Journal: Phys. Rev. D 92, 105001 (2015)

url: http://arxiv.org/pdf/1508.03760v1.pdf

Abstract: We analyze the length, mass and spatial distribution of a discretized transverse string in $D_\perp$ dimensions with fixed end-points near its Hagedorn temperature. We suggest that such a string may dominate the (holographic) Pomeron kinematics for dipole-dipole scattering at intermediate and small impact parameters. Attractive self-string interactions cause the transverse string size to contract away from its diffusive size, a mechanism reminiscent of the string-black-hole transmutation. The string shows sizable asymmetries in the transverse plane that translate to primordial azimuthal asymmetries in the stringy particle production in the Pomeron kinematics for current pp and pA collisions at collider energies.

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GAPS - Dark matter search with low-energy cosmic-ray antideuterons and   antiprotons

Published Paper #: 452

Authors:, P. von Doetinchem, T. Aramaki, S. Boggs, H. Fuke, C. J. Hailey, S. I. Mognet, R. A. Ong, K. Perez, J. Zweerink,

Journal: PoS (ICRC 2015) 1219

url: http://arxiv.org/pdf/1507.02717v2.pdf

Abstract: The GAPS experiment is foreseen to carry out a dark matter search by measuring low-energy cosmic-ray antideuterons and antiprotons with a novel detection approach. It will provide a new avenue to access a wide range of different dark matter models and masses from about 10GeV to 1TeV. The theoretically predicted antideuteron flux resulting from secondary interactions of primary cosmic rays is very low. Well-motivated theories beyond the Standard Model contain viable dark matter candidates, which could lead to a significant enhancement of the antideuteron flux due to annihilation or decay of dark matter particles. This flux contribution is believed to be especially large at low energies, which leads to a high discovery potential for GAPS. The GAPS low-energy antiproton search will provide some of the most stringent constraints on ~30GeV dark matter, will provide the best limits on primordial black hole evaporation on galactic length scales, and explore new discovery space in cosmic-ray physics.   GAPS is designed to achieve its goals via long duration balloon flights at high altitude in Antarctica. The detector itself will consist of 10 planes of Si(Li) solid state detectors and a surrounding time-of-flight system. Antideuterons and antiprotons will be slowed down in the Si(Li) material, replace a shell electron and form an excited exotic atom. The atom will be deexcited by characteristic X-ray transitions and will end its life by the formation of an annihilation pion/proton star. This unique event structure will deliver a nearly background free detection possibility.

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A Density Spike on Astrophysical Scales from an N-Field Waterfall   Transition

Published Paper #: 451

Authors:, Illan F. Halpern, Mark P. Hertzberg, Matthew A. Joss, Evangelos I. Sfakianakis,

Journal: Phys. Lett. B 748 (2015) 132-143

url: http://arxiv.org/pdf/1410.1878v3.pdf

Abstract: Hybrid inflation models are especially interesting as they lead to a spike in the density power spectrum on small scales, compared to the CMB, while also satisfying current bounds on tensor modes. Here we study hybrid inflation with $N$ waterfall fields sharing a global $SO(N)$ symmetry. The inclusion of many waterfall fields has the obvious advantage of avoiding topologically stable defects for $N>3$. We find that it also has another advantage: it is easier to engineer models that can simultaneously (i) be compatible with constraints on the primordial spectral index, which tends to otherwise disfavor hybrid models, and (ii) produce a spike on astrophysically large length scales. The latter may have significant consequences, possibly seeding the formation of astrophysically large black holes. We calculate correlation functions of the time-delay, a measure of density perturbations, produced by the waterfall fields, as a convergent power series in both $1/N$ and the field's correlation function $\Delta(x)$. We show that for large $N$, the two-point function is $<\delta t({\bf x})\,\delta t({\bf 0})>\,\propto\Delta^2(|{\bf x}|)/N$ and the three-point function is $<\delta t({\bf x})\,\delta t({\bf y})\,\delta t({\bf 0})>\,\propto\Delta(|{\bf x}-{\bf y}|)\Delta(|{\bf x}|)\Delta(|{\bf y}|)/N^2$. In accordance with the central limit theorem, the density perturbations on the scale of the spike are Gaussian for large $N$ and non-Gaussian for small $N$.

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Primordial black holes as biased tracers

Published Paper #: 450

Authors:, Yuichiro Tada, Shuichiro Yokoyama,

Journal: Phys. Rev. D 91, 123534 (2015)

url: http://arxiv.org/pdf/1502.01124v2.pdf

Abstract: Primordial black holes (PBHs) are theoretical black holes which may be formed during the radiation dominant era and, basically, caused by the gravitational collapse of radiational overdensities. It has been well known that in the context of the structure formation in our Universe such collapsed objects, e.g., halos/galaxies, could be considered as bias tracers of underlying matter fluctuations and the halo/galaxy bias has been studied well. Employing a peak-background split picture which is known to be a useful tool to discuss the halo bias, we consider the large scale clustering behavior of the PBH and propose an almost mass-independent constraint to the scenario that dark matters (DMs) consist of PBHs. We consider the case where the statistics of the primordial curvature perturbations is almost Gaussian, but with small local-type non-Gaussianity. If PBHs account for the DM abundance, such a large scale clustering of PBHs behaves as nothing but the matter isocurvature perturbation and constrained strictly by the observations of cosmic microwave backgrounds (CMB). From this constraint, we show that, in the case a certain single field causes both CMB temperature perturbations and PBH formations, the PBH-DM scenario is excluded even with quite small local-type non-Gaussianity, $|f_\mathrm{NL}|\sim\mathcal{O}(0.01)$, while we give the constraints to parameters in the case where the source field of PBHs is different from CMB perturbations.

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Kolmogorov complexity in the Milky Way and its reduction with warm dark   matter

Published Paper #: 449

Authors:, Mark C. Neyrinck,

Journal: MNRAS Letters 2015 452 (1): L26-L30

url: http://arxiv.org/pdf/1409.0057v2.pdf

Abstract: We discuss the Kolmogorov complexity of primordial patches that collapse to form galaxies like the Milky Way; this complexity quantifies the amount of initial data available to form the structure. We also speculate on how the quantity changes with time. Because of dark-matter and baryonic collapse processes, it likely decreases with time, i.e.\ information sinks dominate sources. But sources of new random information do exist; e.g., a central black hole with an accretion disk and jets could in principle broadcast small-scale quantum fluctuations over a substantial portion of a galaxy.   A speculative example of how this concept might be useful is in differentiating between warm (WDM) and cold (CDM) dark matter. With WDM, the initial patch that formed the Milky Way would have had few features, making the present high degree of structure a curiosity. The primordial patch would have had only several billion independent information-carrying `pixels' if the WDM particle had a mass of 1 keV. This number of `pixels' is much less than even the number of stars in the Milky Way. If the dark matter is proven to be warm, the high degree of structure in the Milky Way could have arisen in two ways: (1) from a high sensitivity to initial conditions, like an intricate fractal arising from a relatively simple computer code; or (2) from random information generated after the galaxy formed, i.e.\ not entirely deterministically from the initial conditions.

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Cosmological Probes for Supersymmetry

Published Paper #: 448

Authors:, Maxim Khlopov,

Journal: Symmetry 2015, 7, 815-842

url: http://arxiv.org/pdf/1505.08077v1.pdf

Abstract: The multi-parameter character of supersymmetric dark-matter models implies the combination of their experimental studies with astrophysical and cosmological probes. The physics of the early Universe provides nontrivial effects of non-equilibrium particles and primordial cosmological structures. Primordial black holes (PBHs) are a profound signature of such structures that may arise as a cosmological consequence of supersymmetric (SUSY) models. SUSY-based mechanisms of baryosynthesis can lead to the possibility of antimatter domains in a baryon asymmetric Universe. In the context of cosmoparticle physics, which studies the fundamental relationship of the micro- and macro-worlds, the development of SUSY illustrates the main principles of this approach, as the physical basis of the modern cosmology provides cross-disciplinary tests in physical and astronomical studies.

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Dark Matter Triggers of Supernovae

Published Paper #: 447

Authors:, Peter W. Graham, Surjeet Rajendran, Jaime Varela,

Journal: Phys. Rev. D 92, 063007 (2015)

url: http://arxiv.org/pdf/1505.04444v1.pdf

Abstract: The transit of primordial black holes through a white dwarf causes localized heating around the trajectory of the black hole through dynamical friction. For sufficiently massive black holes, this heat can initiate runaway thermonuclear fusion causing the white dwarf to explode as a supernova. The shape of the observed distribution of white dwarfs with masses up to $1.25 M_{\odot}$ rules out primordial black holes with masses $\sim 10^{19}$ gm - $10^{20}$ gm as a dominant constituent of the local dark matter density. Black holes with masses as large as $10^{24}$ gm will be excluded if recent observations by the NuStar collaboration of a population of white dwarfs near the galactic center are confirmed. Black holes in the mass range $10^{20}$ gm - $10^{22}$ gm are also constrained by the observed supernova rate, though these bounds are subject to astrophysical uncertainties. These bounds can be further strengthened through measurements of white dwarf binaries in gravitational wave observatories. The mechanism proposed in this paper can constrain a variety of other dark matter scenarios such as Q balls, annihilation/collision of large composite states of dark matter and models of dark matter where the accretion of dark matter leads to the formation of compact cores within the star. White dwarfs, with their astronomical lifetimes and sizes, can thus act as large space-time volume detectors enabling a unique probe of the properties of dark matter, especially of dark matter candidates that have low number density. This mechanism also raises the intriguing possibility that a class of supernova may be triggered through rare events induced by dark matter rather than the conventional mechanism of accreting white dwarfs that explode upon reaching the Chandrasekhar mass.

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Cosmological long-wavelength solutions and primordial black hole   formation

Published Paper #: 446

Authors:, Tomohiro Harada, Chul-Moon Yoo, Tomohiro Nakama, Yasutaka Koga,

Journal: Phys. Rev. D 91, 084057 (2015)

url: http://arxiv.org/pdf/1503.03934v2.pdf

Abstract: We construct cosmological long-wavelength solutions without symmetry in general gauge conditions compatible with the long-wavelength scheme. We then specify the relationship among the solutions in different time slicings. Applying this general framework to spherical symmetry, we derive the correspondence relation between long-wavelength solutions in the constant mean curvature slicing with conformally flat spatial coordinates and asymptotic quasihomogeneous solutions in the comoving gauge and compare the numerical results of PBH formation in these two different approaches. To discuss the PBH formation, it is convenient and conventional to use $\tilde{\delta}_{c}$, the value which the averaged density perturbation at threshold in the comoving slicing would take at horizon entry in the lowest-order long-wavelength expansion. We numerically find that within compensated models, the sharper the transition from the overdense region to the FRW universe is, the larger the $\tilde{\delta}_{c}$ becomes. We suggest that, for the equation of state $p=(\Gamma-1)\rho$, we can apply the analytic formulas for the minimum $\tilde{\delta}_{c, {\rm min}}\simeq [3\Gamma/(3\Gamma+2)]\sin^{2}\left[\pi\sqrt{\Gamma-1}/(3\Gamma-2)\right]$ and the maximum $\tilde{\delta}_{c, {\rm max}}\simeq 3\Gamma/(3\Gamma+2)$. As for the threshold peak value of the curvature variable $\psi_{0,c}$, we find that the sharper the transition is, the smaller the $\psi_{0,c}$ becomes. We analytically explain this feature. Using simplified models, we also analytically deduce an environmental effect that $\psi_{0,c}$ can be significantly larger (smaller) if the underlying density perturbation of much longer wavelength is positive (negative).

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The long-short wavelength mode coupling tightens primordial black hole   constraints

Published Paper #: 445

Authors:, Sam Young, Christian T. Byrnes,

Journal: Phys. Rev. D 91, 083521 (2015)

url: http://arxiv.org/pdf/1411.4620v2.pdf

Abstract: The effects of non-gaussianity on the constraints on the primordial curvature perturbation power spectrum from primordial black holes (PBHs) are considered. We extend previous analyses to include the effects of coupling between the modes of the horizon scale at the time the PBH forms and super-horizon modes. We consider terms of up to third order in the Gaussian perturbation. For the weakest constraints on the abundance of PBHs in the early universe (corresponding to a fractional energy density of PBHs of $10^{-5}$ at the time of formation), in the case of gaussian perturbations, constraints on the power spectrum are $\mathcal{P}_{\zeta}<0.05$ but can significantly tighter when even a small amount of non-gaussianity is considered, to $\mathcal{P}_{\zeta}<0.01$, and become approximately $\mathcal{P}_{\zeta}<0.003$ in more special cases. Surprisingly, even when there is negative skew (which naively would suggest fewer areas of high density, leading to weaker constraints), we find that the constraints on the power spectrum become tighter than the purely gaussian case - in strong contrast with previous results. We find that the constraints are highly sensitive to both the non-gaussianity parameters as well as the amplitude of super-horizon perturbations.

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Signatures of non-gaussianity in the isocurvature modes of primordial   black hole dark matter

Published Paper #: 444

Authors:, Sam Young, Christian T. Byrnes,

Journal: JCAP 1504 (2015) 04, 034

url: http://arxiv.org/pdf/1503.01505v2.pdf

Abstract: Primordial black holes (PBHs) are black holes which may have formed very early on during the radiation dominated era in the early universe. We present here a method by which the large scale perturbations in the density of primordial black holes may be used to place tight constraints on non-gaussianity if PBHs account for dark matter (DM). The presence of local-type non-gaussianity is known to have a significant effect on the abundance of primordial black holes, and modal coupling from the observed CMB scale modes can significantly alter the number density of PBHs that form within different regions of the universe, which appear as DM isocurvature modes. Using the recent \emph{Planck} constraints on isocurvature perturbations, we show that PBHs are excluded as DM candidates for even very small local-type non-gaussianity, $|f_{NL}|\approx0.001$ and remarkably the constraint on $g_{NL}$ is almost as strong. Even small non-gaussianity is excluded if DM is composed of PBHs. If local non-Gaussianity is ever detected on CMB scales, the constraints on the fraction of the universe collapsing into PBHs (which are massive enough to have not yet evaporated) will become much tighter.

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Calculating the mass spectrum of primordial black holes

Published Paper #: 443

Authors:, Sam Young, Christian T. Byrnes, Misao Sasaki,

Journal: JCAP 1407 (2014) 045

url: http://arxiv.org/pdf/1405.7023v4.pdf

Abstract: We reinspect the calculation for the mass fraction of primordial black holes (PBHs) which are formed from primordial perturbations, finding that performing the calculation using the comoving curvature perturbation $\mathcal{R}_{c}$ in the standard way vastly overestimates the number of PBHs, by many orders of magnitude. This is because PBHs form shortly after horizon entry, meaning modes significantly larger than the PBH are unobservable and should not affect whether a PBH forms or not - this important effect is not taken into account by smoothing the distribution in the standard fashion. We discuss alternative methods and argue that the density contrast, $\Delta$, should be used instead as super-horizon modes are damped by a factor $k^{2}$. We make a comparison between using a Press-Schechter approach and peaks theory, finding that the two are in close agreement in the region of interest. We also investigate the effect of varying the spectral index, and the running of the spectral index, on the abundance of primordial black holes.

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Primordial black holes with mass $10^{16}-10^{17}$ g and reionization of   the Universe

Published Paper #: 442

Authors:, K. M. Belotsky, A. A. Kirillov,

Journal: Journal of Cosmology and Astroparticle Physics 01 (2015) 041

url: http://arxiv.org/pdf/1409.8601v3.pdf

Abstract: Primordial black holes (PBHs) with mass $10^{16}-10^{17}$ g almost escape constraints from observations so could essentially contribute to dark matter density. Hawking evaporation of such PBHs produces with a steady rate $\gamma$- and $e^{\pm}$-radiations in MeV energy range, which can be absorbed by ordinary matter. Simplified estimates show that a small fraction of evaporated energy had to be absorbed by baryonic matter what can turn out to be enough to heat the matter so it is fully ionized at the redshift $z\sim 5... 10$. The result is found to be close to a borderline case where the effect appears, what makes it sensitive to the approximation used. In our approximation, degree of gas ionization reaches 50-100% by $z\sim 5$ for PBH mass $(3...7)\times 10^{16}$ g with their abundance corresponding to the upper limit.

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Efficient electroweak baryogenesis by black holes

Published Paper #: 441

Authors:, Georgios Aliferis, Georgios Kofinas, Vasilios Zarikas,

Journal: Phys. Rev. D 91, 045002 (2015)

url: http://arxiv.org/pdf/1406.6215v2.pdf

Abstract: A novel cosmological scenario, capable to generate the observed baryon number at the electroweak scale for very small CP violating angles, is presented. The proposed mechanism can be applied in conventional FRW cosmology, but becomes extremely efficient due to accretion in the context of early cosmic expansion with high energy modifications. Assuming that our universe is a Randall-Sundrum brane, baryon asymmetry can easily be produced by Hawking radiation of very small primordial black holes. The Hawking radiation reheats a spherical region around every black hole to a high temperature and the electroweak symmetry is restored there. A domain wall is formed separating the region with the symmetric vacuum from the asymmetric region where electroweak baryogenesis takes place. First order phase transition is not needed. The black holes's lifetime is prolonged due to accretion, resulting to strong efficiency of the baryon producing mechanism. The allowed by the mechanism black hole mass range includes masses that are energetically favoured to be produced from interactions around the higher dimensional Planck scale.

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Massive Primordial Black Holes from Hybrid Inflation as Dark Matter and   the seeds of Galaxies

Published Paper #: 440

Authors:, Sébastien Clesse, Juan García-Bellido,

Journal: Phys. Rev. D 92, 023524 (2015)

url: http://arxiv.org/pdf/1501.07565v1.pdf

Abstract: In this paper we present a new scenario where massive Primordial Black Holes (PBH) are produced from the collapse of large curvature perturbations generated during a mild waterfall phase of hybrid inflation. We determine the values of the inflaton potential parameters leading to a PBH mass spectrum peaking on planetary-like masses at matter-radiation equality and producing abundances comparable to those of Dark Matter today, while the matter power spectrum on scales probed by CMB anisotropies agrees with Planck data. These PBH could have acquired large stellar masses today, via merging, and the model passes both the constraints from CMB distortions and micro-lensing. This scenario is supported by Chandra observations of numerous BH candidates in the central region of Andromeda. Moreover, the tail of the PBH mass distribution could be responsible for the seeds of supermassive black holes at the center of galaxies, as well as for ultra-luminous X-rays sources. We find that our effective hybrid potential can originate e.g. from D-term inflation with a Fayet-Iliopoulos term of the order of the Planck scale but sub-planckian values of the inflaton field. Finally, we discuss the implications of quantum diffusion at the instability point of the potential, able to generate a swiss-cheese like structure of the Universe, eventually leading to apparent accelerated cosmic expansion.

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Observational Limits on Gauss-Bonnet and Randall-Sundrum Gravities

Published Paper #: 439

Authors:, S. O. Alexeyev, K. A. Rannu, P. I. Dyadina, B. N. Latosh, S. G. Turyshev,

Journal: JETP 147 (6), 1120-1127 (2015)

url: http://arxiv.org/pdf/1501.04217v1.pdf

Abstract: We discuss the possibilities of experimental search for new physics predicted by the Gauss-Bonnet and the Randall-Sundrum theories of gravity. The effective four-dimensional spherically-symmetrical solutions of these theories are analyzed. We consider these solutions in the weak-field limit and in the process of the primordial black holes evaporation. We show that the predictions of discussed models are the same as of General Relativity. So, current experiments are not applicable for such search therefore different methods of observation and higher accuracy are required.

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Simulating the growth of Intermediate Mass Black Holes

Published Paper #: 438

Authors:, Fabio Pacucci, Andrea Ferrara,

Journal: Monthly Notices of the Royal Astronomical Society 2015 448 (2):
 104-118

url: http://arxiv.org/pdf/1501.00989v1.pdf

Abstract: Theoretical models predict that a population of Intermediate Mass Black Holes (IMBHs) of mass $M_\bullet \approx 10^{4-5} \, \mathrm{M_{\odot}}$ might form at high ($z > 10$) redshift by different processes. Such objects would represent the seeds out of which $z > 6$ Super-Massive Black Holes (SMBHs) grow. We numerically investigate the radiation-hydrodynamic evolution governing the growth of such seeds via accretion of primordial gas within their parent dark matter halo of virial temperature $T_{vir} \sim 10^4 \, \mathrm{K}$. We find that the accretion onto a Direct Collapse Black Hole (DCBH) of initial mass $M_0=10^5 \, \mathrm{M_{\odot}}$ occurs at an average rate $\dot{M}_{\bullet} \simeq 1.35 \, \dot{M}_{Edd} \simeq 0.1 \, \mathrm{M_{\odot} \, yr^{-1}}$, is intermittent (duty-cycle $ < 50\%$) and lasts $\approx 142 \, \mathrm{Myr}$; the system emits on average at super-Eddington luminosities, progressively becoming more luminous as the density of the inner mass shells, directly feeding the central object, increases. Finally, when $\approx 90\%$ of the gas mass has been accreted (in spite of an average super-Eddington emission) onto the black hole, whose final mass is $\sim 7 \times 10^6 \, \mathrm{M_{\odot}}$, the remaining gas is ejected from the halo due to a powerful radiation burst releasing a peak luminosity $L_{peak}\sim 3\times 10^{45} \, \mathrm{erg \, s^{-1}}$. The IMBH is Compton-thick during most of the evolution, reaching a column density $N_H \sim 10^{25} \, \mathrm{cm^{-2}}$ in the late stages of the simulation. We briefly discuss the observational implications of the model.

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Baryogenesis from Hawking Radiation

Published Paper #: 437

Authors:, Anson Hook,

Journal: Phys. Rev. D 90, 083535 (2014)

url: http://arxiv.org/pdf/1404.0113v3.pdf

Abstract: We show that in the presence of a chemical potential, black hole evaporation generates baryon number. If the inflaton or Ricci scalar is derivatively coupled to the B-L current, the expansion of the universe acts as a chemical potential and splits the energy levels of particles and their anti-particles. The asymmetric Hawking radiation of primordial black holes can thus be used to generate a B-L asymmetry. If dark matter is produced by the same mechanism, the coincidence between the mass density of visible and dark matter can be naturally explained.

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Constraints on the primordial power spectrum of small scales using the   neutrino signals from the dark matter decay

Published Paper #: 436

Authors:, Yupeng Yang,

Journal: International Journal of Modern Physics A, Vol. 29, No. 32 (2014)
 1450194 (10 pages)

url: http://arxiv.org/pdf/1501.00789v1.pdf

Abstract: Many inflation theories predict that the primordial power spectrum is scale invariant. The amplitude of the power spectrum can be constrained by different observations such as the cosmic microwave background (CMB), Lyman-$\alpha$, large-scale structures and primordial black holes (PBHs). Although the constraints from the CMB are robust, the corresponding scales are very large ($10^{-4}<k<1 \mathrm{Mpc^{-1}}$). For small scales ($k > 1 \mathrm{Mpc^{-1}}$), the research on the PBHs provides much weaker limits. Recently, ultracompact dark matter minihalos (UCMHs) was proposed and it was found that they could be used to constraint the small-scale primordial power spectrum. The limits obtained by the research on the UCMHs are much better than that of PBHs. Most of previous works focus on the dark matter annihilation within the UCMHs, but if the dark matter particles do not annihilate the decay is another important issue. In previous work~\cite{EPL}, we investigated the gamma-ray flux from the UCMHs due to the dark matter decay. In addition to these flux, the neutrinos are usually produced going with the gamma-ray photons especially for the lepton channels. In this work, we studied the neutrino flux from the UCMHs due to the dark matter decay. Finally, we got the constraints on the amplitude of primordial power spectrum of small scales.

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Formation of massive protostars in atomic cooling haloes

Published Paper #: 435

Authors:, Fernando Becerra, Thomas H. Greif, Volker Springel, Lars Hernquist,

Journal: MNRAS, 446, 2380 (2015)

url: http://arxiv.org/pdf/1409.3572v2.pdf

Abstract: We present the highest-resolution three-dimensional simulation to date of the collapse of an atomic cooling halo in the early Universe. We use the moving-mesh code arepo with the primordial chemistry module introduced in Greif (2014), which evolves the chemical and thermal rate equations for over more than 20 orders of magnitude in density. Molecular hydrogen cooling is suppressed by a strong Lyman-Werner background, which facilitates the near-isothermal collapse of the gas at a temperature of about $10^4\,$K. Once the central gas cloud becomes optically thick to continuum emission, it settles into a Keplerian disc around the primary protostar. The initial mass of the protostar is about $0.1\,{\rm M}_\odot$, which is an order of magnitude higher than in minihaloes that cool via molecular hydrogen. The high accretion rate and efficient cooling of the gas catalyse the fragmentation of the disc into a small protostellar system with 5-10 members. After about 12 yr, strong gravitational interactions disrupt the disc and temporarily eject the primary protostar from the centre of the cloud. By the end of the simulation, a secondary clump has collapsed at a distance of $\simeq 150\,$au from the primary clump. If this clump undergoes a similar evolution as the first, the central gas cloud may evolve into a wide binary system. High accretion rates of both the primary and secondary clumps suggest that fragmentation is not a significant barrier for forming at least one massive black hole seed.

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Effects of turbulence and rotation on protostar formation as a precursor   to seed black holes

Published Paper #: 434

Authors:, C. Van Borm, S. Bovino, M. A. Latif, D. R. G. Schleicher, M. Spaans, T. Grassi,

Journal: A&A 572, A22 (2014)

url: http://arxiv.org/pdf/1408.1253v2.pdf

Abstract: Context. The seeds of the first supermassive black holes may have resulted from the direct collapse of hot primordial gas in $\gtrsim 10^4$ K haloes, forming a supermassive or quasistar as an intermediate stage.   Aims. We explore the formation of a protostar resulting from the collapse of primordial gas in the presence of a strong Lyman-Werner radiation background. Particularly, we investigate the impact of turbulence and rotation on the fragmentation behaviour of the gas cloud. We accomplish this goal by varying the initial turbulent and rotational velocities.   Methods. We performed 3D adaptive mesh refinement simulations with a resolution of 64 cells per Jeans length using the ENZO code, simulating the formation of a protostar up to unprecedentedly high central densities of $10^{21}$ cm$^{-3}$, and spatial scales of a few solar radii. To achieve this goal, we employed the KROME package to improve modelling of the chemical and thermal processes.   Results. We find that the physical properties of the simulated gas clouds become similar on small scales, irrespective of the initial amount of turbulence and rotation. After the highest level of refinement was reached, the simulations have been evolved for an additional ~5 freefall times. A single bound clump with a radius of $2 \times 10^{-2}$ AU and a mass of ~$7 \times 10^{-2}$ M$_{\odot}$ is formed at the end of each simulation, marking the onset of protostar formation. No strong fragmentation is observed by the end of the simulations, regardless of the initial amount of turbulence or rotation, and high accretion rates of a few solar masses per year are found.   Conclusions. Given such high accretion rates, a quasistar of $10^5$ M$_{\odot}$ is expected to form within $10^5$ years.

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Axion inflation with gauge field production and primordial black holes

Published Paper #: 433

Authors:, Edgar Bugaev, Peter Klimai,

Journal: Phys. Rev. D 90, 103501 (2014)

url: http://arxiv.org/pdf/1312.7435v2.pdf

Abstract: We study the process of primordial black hole (PBH) formation at the beginning of radiation era for the cosmological scenario in which the inflaton is a pseudo-Nambu-Goldstone boson (axion) and there is a coupling of the inflaton with some gauge field. In this model inflation is accompanied by the gauge quanta production and a strong rise of the curvature power spectrum amplitude at small scales (along with non-Gaussianity) is predicted. We show that data on PBH searches can be used for a derivation of essential constraints on the model parameters in such an axion inflation scenario. We compare our numerical results with the similar results published earlier, in the work by Linde et al.

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Testing scenarios of primordial black holes being the seeds of   supermassive black holes by ultracompact minihalos and CMB $μ$-distortions

Published Paper #: 432

Authors:, Kazunori Kohri, Tomohiro Nakama, Teruaki Suyama,

Journal: Phys. Rev. D 90: 083514, 2014

url: http://arxiv.org/pdf/1405.5999v2.pdf

Abstract: Supermassive black holes and intermediate mass black holes are believed to exist in the Universe. There is no established astrophysical explanation for their origin and considerations have been made in the literature that those massive black holes (MBHs) may be primordial black holes (PBHs), black holes which are formed in the early universe (well before the matter-radiation equality) due to the direct collapse of primordial overdensities. This paper aims at discussing the possibility of excluding the PBH scenario as the origin of the MBHs. We first revisit the constraints on PBHs obtained from the CMB distortion that the seed density perturbation causes. By adopting a recent computation of the CMB distortion sourced by the seed density perturbation and the stronger constraint on the CMB distortion set by the COBE/FIRAS experiment used in the literature, we find that PBHs in the mass range $6\times 10^4~M_\odot \sim 5 \times 10^{13}~M_\odot$ are excluded. Since PBHs lighter than $6 \times 10^4~M_\odot$ are not excluded from the non-observation of the CMB distortion, we propose a new method which can potentially exclude smaller PBHs as well. Based on the observation that large density perturbations required to create PBHs also result in the copious production of ultracompact minihalos (UCMHs), compact dark matter halos formed at around the recombination, we show that weakly interacting massive particles (WIMPs) as dark matter annihilate efficiently inside UCMHs to yield cosmic rays far exceeding the observed flux. Our bound gives severe restriction on the compatibility between the particle physics models for WIMPs and the PBH scenario as the explanation of MBHs.

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Adiabatic contraction revisited: implications for primordial black holes

Published Paper #: 431

Authors:, Fabio Capela, Maxim Pshirkov, Peter Tinyakov,

Journal: Phys. Rev. D 90, 083507 (2014)

url: http://arxiv.org/pdf/1403.7098v2.pdf

Abstract: We simulate the adiabatic contraction of a dark matter (DM) distribution during the process of the star formation, paying particular attention to the phase space distribution of the DM particles after the contraction. Assuming the initial uniform density and Maxwellian distribution of DM velocities, we find that the number $n(r)$ of DM particles within the radius $r$ scales like $n(r) \propto r^{1.5}$, leading to the DM density profile $\rho\propto r^{-1.5}$, in agreement with the Liouville theorem and previous numerical studies. At the same time, the number of DM particles $\nu(r)$ with periastra smaller than $r$ is parametrically larger, $\nu(r) \propto r$, implying that many particles contributing at any given moment into the density $\rho(r)$ at small $r$ have very elongated orbits and spend most of their time at distances larger than $r$. This has implications for the capture of DM by stars in the process of their formation. As a concrete example we consider the case of primordial black holes (PBH). We show that accounting for very eccentric orbits boosts the amount of captured PBH by a factor of up to $2\times 10^3$ depending on the PBH mass, improving correspondingly the previously derived constraints on the PBH abundance.

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Milagro Limits and HAWC Sensitivity for the Rate-Density of Evaporating   Primordial Black Holes

Published Paper #: 430

Authors:, A. A. Abdo, A. U. Abeysekara, R. Alfaro, B. T. Allen, C. Alvarez, J. D. Álvarez, R. Arceo, J. C. Arteaga-Velázquez, T. Aune, H. A. Ayala Solares, A. S. Barber, B. M. Baughman, N. Bautista-Elivar, J. Becerra Gonzalez, E. Belmont, S. Y. BenZvi, D. Berley, M. Bonilla Rosales, J. Braun, R. A. Caballero-Lopez, K. S. Caballero-Mora, A. Carramiñana, M. Castillo, C. Chen, G. E. Christopher, U. Cotti, J. Cotzomi, E. de la Fuente, C. De León, T. DeYoung, R. Diaz Hernandez, L. Diaz-Cruz, J. C. Díaz-Vélez, B. L. Dingus, M. A. DuVernois, R. W. Ellsworth, D. W. Fiorino, N. Fraija, A. Galindo, F. Garfias, M. M. González, J. A. Goodman, V. Grabski, M. Gussert, Z. Hampel-Arias, J. P. Harding, E. Hays, C. M. Hoffman, C. M. Hui, P. Hüntemeyer, A. Imran, A. Iriarte, P. Karn, D. Kieda, B. E. Kolterman, G. J. Kunde, A. Lara, R. J. Lauer, W. H. Lee, D. Lennarz, H. León Vargas, E. C. Linares, J. T. Linnemann, M. Longo, R. Luna-GarcIa, J. H. MacGibbon, A. Marinelli, S. S. Marinelli, H. Martinez, O. Martinez, J. Martínez-Castro, J. A. J. Matthews, J. McEnery, E. Mendoza Torres, A. I. Mincer, P. Miranda-Romagnoli, E. Moreno, T. Morgan, M. Mostafá, L. Nellen, P. Nemethy, M. Newbold, R. Noriega-Papaqui, T. Oceguera-Becerra, B. Patricelli, R. Pelayo, E. G. Pérez-Pérez, J. Pretz, C. Rivière, D. Rosa-González, J. Ryan, H. Salazar, F. Salesa, A. Sandoval, P. M. Saz Parkinson, M. Schneider, A. Shoup, S. Silich, G. Sinnis, A. J. Smith, D. Stump, K. Sparks Woodle, R. W. Springer, I. Taboada, P. A. Toale, K. Tollefson, I. Torres, T. N. Ukwatta, V. Vasileiou, L. Villaseñor, G. P. Walker, T. Weisgarber, S. Westerhoff, D. A. Williams, I. G. Wisher, J. Wood, G. B. Yodh, P. W. Younk, D. Zaborov, A. Zepeda, H. Zhou,

Journal: Astroparticle Physics, Volume 64, p. 4-12. 2015

url: http://arxiv.org/pdf/1407.1686v2.pdf

Abstract: Primordial Black Holes (PBHs) are gravitationally collapsed objects that may have been created by density fluctuations in the early universe and could have arbitrarily small masses down to the Planck scale. Hawking showed that due to quantum effects, a black hole has a temperature inversely proportional to its mass and will emit all species of fundamental particles thermally. PBHs with initial masses of ~5.0 x 10^14 g should be expiring in the present epoch with bursts of high-energy particles, including gamma radiation in the GeV - TeV energy range. The Milagro high energy observatory, which operated from 2000 to 2008, is sensitive to the high end of the PBH evaporation gamma-ray spectrum. Due to its large field-of-view, more than 90% duty cycle and sensitivity up to 100 TeV gamma rays, the Milagro observatory is well suited to perform a search for PBH bursts. Based on a search on the Milagro data, we report new PBH burst rate density upper limits over a range of PBH observation times. In addition, we report the sensitivity of the Milagro successor, the High Altitude Water Cherenkov (HAWC) observatory, to PBH evaporation events.

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Signatures of primordial black hole dark matter

Published Paper #: 429

Authors:, K. M. Belotsky, A. D. Dmitriev, E. A. Esipova, V. A. Gani, A. V. Grobov, M. Yu. Khlopov, A. A. Kirillov, S. G. Rubin, I. V. Svadkovsky,

Journal: Mod. Phys. Lett. A 29 (2014) 1440005

url: http://arxiv.org/pdf/1410.0203v1.pdf

Abstract: The nonbaryonic dark matter of the Universe is assumed to consist of new stable forms of matter. Their stability reflects symmetry of micro world and mechanisms of its symmetry breaking. In the early Universe heavy metastable particles can dominate, leaving primordial black holes (PBHs) after their decay, as well as the structure of particle symmetry breaking gives rise to cosmological phase transitions, from which massive black holes and/or their clusters can originate. PBHs can be formed in such transitions within a narrow interval of masses about $10^{17}$g and, avoiding severe observational constraints on PBHs, can be a candidate for the dominant form of dark matter. PBHs in this range of mass can give solution of the problem of reionization in the Universe at the redshift $z\sim 5... 10$. Clusters of massive PBHs can serve as a nonlinear seeds for galaxy formation, while PBHs evaporating in such clusters can provide an interesting interpretation for the observations of point-like gamma-ray sources. Analysis of possible PBH signatures represents a universal probe for super-high energy physics in the early Universe in studies of indirect effects of the dark matter.

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Fast Radio Bursts and White Hole Signals

Published Paper #: 428

Authors:, Aurélien Barrau, Carlo Rovelli, Francesca Vidotto,

Journal: Phys. Rev. D 90, 127503 (2014)

url: http://arxiv.org/pdf/1409.4031v3.pdf

Abstract: We estimate the size of a primordial black hole exploding today via a white hole transition, and the power in the resulting explosion, using a simple model. We point out that Fast Radio Bursts, strong signals with millisecond duration, probably extragalactic and having unknown source, have wavelength not far from the expected size of the exploding hole. We also discuss the possible higher energy components of the signal.

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On tidal capture of primordial black holes by neutron stars

Published Paper #: 427

Authors:, Guillaume Defillon, Etienne Granet, Petr Tinyakov, Michel H. G. Tytgat,

Journal: Phys. Rev. D 90, 103522 (2014)

url: http://arxiv.org/pdf/1409.0469v1.pdf

Abstract: The fraction of primordial black holes (PBHs) of masses $10^{17} - 10^{26}$ g in the total amount of dark matter may be constrained by considering their capture by neutron stars (NSs), which leads to the rapid destruction of the latter. The constraints depend crucially on the capture rate which, in turn, is determined by the energy loss by a PBH passing through a NS. Two alternative approaches to estimate the energy loss have been used in the literature: the one based on the dynamical friction mechanism, and another on tidal deformations of the NS by the PBH. The second mechanism was claimed to be more efficient by several orders of magnitude due to the excitation of particular oscillation modes reminiscent of the surface waves. We address this disagreement by considering a simple analytically solvable model that consists of a flat incompressible fluid in an external gravitational field. In this model, we calculate the energy loss by a PBH traversing the fluid surface. We find that the excitation of modes with the propagation velocity smaller than that of PBH is suppressed, which implies that in a realistic situation of a supersonic PBH the large contributions from the surface waves are absent and the above two approaches lead to consistent expressions for the energy loss.

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The double formation of primordial black holes

Published Paper #: 426

Authors:, Tomohiro Nakama,

Journal: JCAP10(2014)040

url: http://arxiv.org/pdf/1408.0955v3.pdf

Abstract: Primordial black holes (PBHs) are a useful tool in cosmology to probe primordial inhomogeneities on small scales that reenter the Hubble radius during the radiation dominated epoch. In this paper, a phenomenon we call the double formation of PBHs, described below, is explored. Suppose there exists a highly perturbed region which will collapse to form a PBH after the horizon crossing of this region, and farther that this region is superposed on much larger region, which also collapses upon reentry. One then expects the collapse of the central smaller region at the time of the crossing of this region, followed by another collapse of the larger perturbation at the time of its respective crossing. The smaller PBH, formed earlier, should be swallowed in the second collapse leading to a single larger PBH as the final state. This paper reports the first direct numerical confirmation of such double PBH formation. Related to this, we also discuss the effects of high-frequency modes on the formation of PBHs.

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Reheating the Universe Once More: The Dissipation of Acoustic Waves as a   Novel Probe of Primordial Inhomogeneities on Even Smaller Scales

Published Paper #: 425

Authors:, Tomohiro Nakama, Teruaki Suyama, Jun'ichi Yokoyama,

Journal: Phys. Rev. Lett. 113, 061302 (2014)

url: http://arxiv.org/pdf/1403.5407v2.pdf

Abstract: We provide a simple but robust bound on the primordial curvature perturbation in the range $10^4 {\rm Mpc}^{-1} < k < 10^5 {\rm Mpc}^{-1}$, which has not been constrained so far unlike low wavenumber modes. Perturbations on these scales dissipate the energy of their acoustic oscillations by the Silk damping after primordial nucleosynthesis but before the redshift $z \sim 2 \times 10^6$ and reheat the photon bath without invoking CMB distortions. This {\it acoustic reheating} results in the decrease of the baryon-photon ratio. By combining independent measurements probing the nucleosynthesis era and around the recombination epoch, we find an upper bound on the amplitude of the curvature perturbation over the above wavenumber range as ${\cal P}_\zeta < 0.06$. Implications for super massive black holes are also discussed.

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Clearing the Brush: The Last Stand of Solo Small Field Inflation

Published Paper #: 424

Authors:, Joseph Bramante, Sean Downes, Landon Lehman, Adam Martin,

Journal: Phys. Rev. D 90, 023530 (2014)

url: http://arxiv.org/pdf/1405.7563v3.pdf

Abstract: By incorporating both the tensor-to-scalar ratio and the measured value of the spectral index, we set a bound on solo small field inflation of $\Delta \phi / m_{Pl} \geq 1.00 \sqrt{r/0.1}$. Unlike previous bounds which require monotonic $\epsilon_V,$ $|\eta_V| <1$, and 60 e-folds of inflation, the bound remains valid for non-monotonic $\epsilon_V$, $|\eta_V| \gtrsim 1$, and for inflation which occurs only over the 8 e-folds which have been observed on the cosmic microwave background. The negative value of the spectral index over the observed 8 e-folds is what makes the bound strong; we illustrate this by surveying single field models and finding that for $r \gtrsim 0.1$ and 8 e-folds of inflation, there is no simple potential which reproduces observed CMB perturbations and remains sub-Planckian. Models that are sub-Planckian after 8 e-folds must be patched together with a second epoch of inflation that fills out the remaining $\sim 50$ e-folds. This second, post-CMB epoch is characterized by extremely small $\epsilon_V$ and therefore an increasing scalar power spectrum. Using the fact that large power can overabundantly produce primordial black holes, we bound the maximum energy level of the second phase of inflation.

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Isotropic Expansion of Inhomogeneous Universe

Published Paper #: 423

Authors:, Wei-Jian Geng, H. Lu,

Journal: Phys. Rev. D 90, 083511 (2014)

url: http://arxiv.org/pdf/1407.0728v2.pdf

Abstract: We propose a cosmological model that describes isotropic expansion of inhomogeneous universe. The energy-momentum tensor that creates the spatial inhomogeneity may not affect the uniform expansion scaling factor $a(t)$ in the FLRW-like metrics. Such energy-momentum tensor may not be exotic; in fact any linear or non-linear $\sigma$-model has this feature. We show that the classical spatial inhomogeneity can be embedded in both inflation models and the traditional cosmological expansion by perfect fluid. The spatial inhomogeneity resembles the primordial quantum perturbation that was frozen in the co-moving frame. We obtain some exact inhomogeneous solutions with spherical or axial symmetries. We also show that some of our cosmological models can be viewed as the dynamical black hole formation.

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The primordial environment of super massive black holes: large scale   galaxy overdensities around $z\sim6$ QSOs with LBT

Published Paper #: 422

Authors:, L. Morselli, M. Mignoli, R. Gilli, C. Vignali, A. Comastri, E. Sani, N. Cappelluti, G. Zamorani, M. Brusa, S. Gallozzi, E. Vanzella,

Journal: A&A 568, A1 (2014)

url: http://arxiv.org/pdf/1406.3961v1.pdf

Abstract: We investigated the presence of galaxy overdensities around four $z\sim6$ QSOs, namely SDSS J1030+0524 (z = 6.28), SDSS J1148+5251 (z = 6.41), SDSS J1048+4637 (z = 6.20) and SDSS J1411+1217 (z = 5.95), through deep $r$-, $i$- and $z$- band imaging obtained with the wide-field ($\sim23'\times25'$) Large Binocular Camera (LBC) at the Large Binocular Telescope (LBT). We adopted color-color selections within the $i-z$ vs $r-z$ plane to identify samples of $i$-band dropouts at the QSO redshift and measure their relative abundance and spatial distribution in the four LBC fields, each covering $\sim8\times8$ physical Mpc at $z\sim6$. The same selection criteria were then applied to $z$-band selected sources in the $\sim$1 deg$^2$ Subaru-XMM Newton Deep Survey to derive the expected number of dropouts over a blank LBC-sized field ($\sim$0.14 deg$^2$). The four observed QSO fields host a number of candidates larger than what is expected in a blank field. By defining as $i$-band dropouts objects with $z_{AB}<25$, $i-z>1.4$ and undetected in the $r$-band, we found 16, 10, 9, 12 dropouts in SDSS J1030+0524, SDSS J1148+5251, SDSS J1048+4637, and SDSS J1411+1217, respectively, whereas only 4.3 such objects are expected over a 0.14 deg$^2$ blank field. This corresponds to overdensity significances of 3.3, 1.9, 1.7, 2.5$\sigma$, respectively. By considering the total number of dropouts in the four LBC fields and comparing it with what is expected in four blank fields of 0.14 deg$^2$ each, we find that high-z QSOs reside in overdense environments at the $3.7\sigma$ level. This is the first direct and unambiguous measurement of the large scale structures around $z\sim6$ QSOs. [shortened]

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Direct detection of Black Holes via electromagnetic radiation

Published Paper #: 421

Authors:, J. L. G. Sobrinho, P. Augusto,

Journal: Mon. Not. Roy. Astron. Soc. 441 (2), 2878-2884 (2014)

url: http://arxiv.org/pdf/1406.1785v1.pdf

Abstract: Many black hole (BH) candidates exist, ranging from supermassive ($\sim10^{6}$--$10^{10}$ M$_{\odot}$) to stellar masses ($\sim 1$--$100$ M$_{\odot}$), all of them identified by indirect processes. Although there are no known candidate BHs with sub-stellar masses, these might have been produced in the primordial Universe. BHs emit radiation composed of photons, gravitons and, later in their lifes, massive particles. We explored the detection of such BHs with present day masses from $10^{-22}$ M$_{\odot}$ to $10^{-11}$ M$_{\odot}$. We determined the maximum distances ($d$) at which the current best detectors should be placed in order to identify such isolated BHs. Broadly, we conclude that in the visible and ultraviolet BHs can be directly detected at $d\lesssim 10^7$ m while in the X-ray band the distances might reach $\sim10^8$ m (of the order of the Earth-Moon distance) and in the $\gamma$-ray band BHs might even be detected from as far as $\sim 0.1$ pc. Since these results give us realistic hopes of directly detecting BHs, we suggest the scrutiny of current and future space mission data to reach this goal.

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Thermal Tachyacoustic Cosmology

Published Paper #: 420

Authors:, Abhineet Agarwal, Niayesh Afshordi,

Journal: Phys. Rev. D 90, 043528 (2014)

url: http://arxiv.org/pdf/1406.0575v1.pdf

Abstract: An intriguing possibility that can address pathologies in both early universe cosmology (i.e. the horizon problem) and quantum gravity (i.e. non-renormalizability), is that particles at very high energies and/or temperatures could propagate arbitrarily fast. A concrete realization of this possibility for the early universe is the Tachyacoustic (or Speedy Sound) cosmology, which could also produce a scale-invariant spectrum for scalar cosmological perturbations. Here, we study Thermal Tachyacoustic Cosmology (TTC), i.e. this scenario with thermal initial conditions. We find that a phase transition in the early universe, around the scale of Grand Unified Theories (GUT scale; $T\sim 10^{15}$ GeV), during which the speed of sound drops by $25$ orders of magnitude within a Hubble time, can fit current CMB observations. We further discuss how production of primordial black holes constrains the cosmological acoustic history, while coupling TTC to Horava-Lifshitz gravity leads to a lower limit on the amplitude of tensor modes ($r \gtrsim 10^{-3}$), that are detectable by CMBPol (and might have already been seen by the BICEP-Keck collaboration).

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Primordial black holes from temporally enhanced curvature perturbation

Published Paper #: 419

Authors:, Teruaki Suyama, Yi-Peng Wu, Jun'ichi Yokoyama,

Journal: Phys. Rev. D 90, 043514 (2014)

url: http://arxiv.org/pdf/1406.0249v1.pdf

Abstract: Scalar field with generalized kinetic interactions metamorphoses depending on its field value, ranging from cosmological constant to stiff matter. We show that such a scalar field can give rise to temporal enhancement of the curvature perturbation in the primordial Universe, leading to efficient production of primordial black holes while the enhancement persists. If the inflation energy scale is high, those mini-black holes evaporate by the Hawking radiation much before Big Bang nucleosynthesis and the effective reheating of the Universe is achieved by the black hole evaporation. Dominance of PBHs and the reheating by their evaporation modify the expansion history of the primordial Universe. This results in a characteristic feature of the spectrum of primordial tensor modes in the DECIGO frequency band, opening an interesting possibility of testing PBH reheating scenario by measuring the primordial tensor modes. If the inflation energy scale is low, the PBH mass can be much larger than the solar mass. In this case, PBH is an interesting candidate for seeds for supermassive black holes residing in present galaxies.

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The separate universe problem: 40 years on

Published Paper #: 418

Authors:, B. J. Carr, Tomohiro Harada,

Journal: Phys. Rev. D 91, 084048 (2015)

url: http://arxiv.org/pdf/1405.3624v1.pdf

Abstract: The claim that an overdense (positive curvature) region in the early universe cannot extend beyond some maximum scale and remain part of our universe, first made 40 years ago, has recently been questioned by Kopp et al. Their analysis is elucidating and demonstrates that one cannot constrain the form of primordial density perturbations using this argument. However, the notion of a separate-universe scale still applies and it places an important upper limit on the mass of primordial black holes forming at any epoch. We calculate this scale for equations of state of the form $p = k \rho c^2$ with $-1 <k < \infty$, refining earlier calculations on account of the Kopp et al. criticisms. For $-1/3 < k < \infty$, the scale is always of order the cosmological particle horizon size, with a numerical factor depending on $k$. This confirms the earlier claim that a primordial black hole cannot be much larger than the particle horizon at formation. For $-1 < k< -1/3$, as expected for some periods in the history of the universe, the situation changes radically, in that a sufficiently large positive-curvature region produces a baby universe rather than a black hole. There is still a separate-universe scale but the interpretation of these solutions requires care.

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Formation of subhorizon black holes from preheating

Published Paper #: 417

Authors:, E. Torres-Lomas, Juan Carlos Hidalgo, Karim A. Malik, L. Arturo Ureña-López,

Journal: Phys. Rev. D 89, 083008 (2014)

url: http://arxiv.org/pdf/1401.6960v2.pdf

Abstract: We study the production of primordial black holes (PBHs) during the preheating stage that follows a chaotic inflationary phase. The scalar fields present in the process are evolved numerically using a modified version of the HLATTICE code. From the output of the numerical simulation, we compute the probability distribution of curvature fluctuations, paying particular attention to sub-horizon scales. We find that in some specific models these modes grow to large amplitudes developing highly non-Gaussian probability distributions. We then calculate PBH abundances using the standard Press-Schechter criterion and find that overproduction of PBHs is likely in some regions of the chaotic preheating parameter space.

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Massive charged scalar field in the Kerr-Newman background II: Hawking   radiation

Published Paper #: 416

Authors:, R. A. Konoplya, A. Zhidenko,

Journal: Phys. Rev. D 89, 084015 (2014)

url: http://arxiv.org/pdf/1402.1998v3.pdf

Abstract: We perform accurate calculations of the energy-, momentum-, and charge-emission rates of a charged scalar field in the background of the Kerr-Newman black hole at the range of parameters for which the effect is not negligibly small and, at the same time, the semiclassical regime is, at least marginally, valid. For black holes with charge below or not much higher than the charge accretion limit $Q \sim \mu M/e$ (where $e$ and $\mu$ are the electron's mass and charge), the time between the consequent emitting of two charged particles is very large. For primordial black holes the transition between the increasing and decreasing of the ratio $Q/M$ occurs around the charge accretion limit. The rotation increases the intensity of radiation up to three orders, while the effect of the field's mass strongly suppresses the radiation.

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The Premature Formation of High Redshift Galaxies

Published Paper #: 415

Authors:, Fulvio Melia,

Journal: AJ 147, Issue 5, article id. 120, 7 pp. (2014)

url: http://arxiv.org/pdf/1403.0908v1.pdf

Abstract: Observations with WFC3/IR on the Hubble Space Telescope and the use of gravitational lensing techniques have facilitated the discovery of galaxies as far back as z ~ 10-12, a truly remarkable achievement. However, this rapid emergence of high-z galaxies, barely ~ 200 Myr after the transition from Population III star formation to Population II, appears to be in conflict with the standard view of how the early Universe evolved. This problem has much in common with the better known (and probably related) premature appearance of supermassive black holes at z ~ 6. It is difficult to understand how ~ 10^9 solar-mass black holes could have appeared so quickly after the big bang without invoking non-standard accretion physics and the formation of massive seeds, neither of which is seen in the local Universe. In earlier work, we showed that the appearance of high-z quasars could instead be understood more reasonably in the context of the R_h=ct Universe, which does not suffer from the same time compression issues as LCDM does at early epochs. Here, we build on that work by demonstrating that the evolutionary growth of primordial galaxies was consistent with the current view of how the first stars formed, but only with the timeline afforded by the R_h=ct cosmology. We also show that the growth of high-z quasars was mutually consistent with that of the earliest galaxies, though it is not yet clear whether the former grew from 5-20 solar-mass seeds created in Population III or Population II supernova explosions.

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One Hundred First Stars : Protostellar Evolution and the Final Masses

Published Paper #: 414

Authors:, Shingo Hirano, Takashi Hosokawa, Naoki Yoshida, Hideyuki Umeda, Kazuyuki Omukai, Gen Chiaki, Harold W. Yorke,

Journal: Astrophys.J.781:60-81,2014

url: http://arxiv.org/pdf/1308.4456v2.pdf

Abstract: We perform a large set of radiation hydrodynamics simulations of primordial star formation in a fully cosmological context. Our statistical sample of 100 First Stars show that the first generation of stars have a wide mass distribution M_popIII = 10 ~ 1000 M_sun. We first run cosmological simulations to generate a set of primordial star-forming gas clouds. We then follow protostar formation in each gas cloud and the subsequent protostellar evolution until the gas mass accretion onto the protostar is halted by stellar radiative feedback. The accretion rates differ significantly among the primordial gas clouds which largely determine the final stellar masses. For low accretion rates the growth of a protostar is self-regulated by radiative feedback effects and the final mass is limited to several tens of solar masses. At high accretion rates the protostar's outer envelope continues to expand and the effective surface temperature remains low; such protostars do not exert strong radiative feedback and can grow in excess to one hundred solar masses. The obtained wide mass range suggests that the first stars play a variety of roles in the early universe, by triggering both core-collapse supernovae and pair-instability supernovae as well as by leaving stellar mass black holes. We find certain correlations between the final stellar mass and the physical properties of the star-forming cloud. These correlations can be used to estimate the mass of the first star from the properties of the parent cloud or of the host halo, without following the detailed protostellar evolution.

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Primordial Black Holes as Heat Sources for Living Systems with Longest   Possible Lifetimes

Published Paper #: 413

Authors:, C Sivaram, Kenath Arun, Kiren O V,

Journal: Astrophysics and Space Science June 2014, Volume 351, Issue 2, pp
 407-408

url: http://arxiv.org/pdf/1412.4015v1.pdf

Abstract: Just forty years ago, Hawking wrote his famous paper on primordial black holes (PBH). There have been since innumerable discussions on the consequences of the existence of such exotic objects and ramifications of their properties. Here we suggest that PBH's in an ever expanding universe (as implied by dark energy domination, especially of a cosmological constant) could be the ultimate repository for long lived living systems. PBH's having solar surface temperatures would last 10^32 years as a steady power source and should be considered in any discussion on exobiological life.

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Identifying the most crucial parameters of the initial curvature profile   for primordial black hole formation

Published Paper #: 412

Authors:, Tomohiro Nakama, Tomohiro Harada, A. G. Polnarev, Jun'ichi Yokoyama,

Journal: JCAP01(2014)037

url: http://arxiv.org/pdf/1310.3007v2.pdf

Abstract: Primordial black holes (PBHs) are an important tool in cosmology to probe the primordial spectrum of small-scale curvature perturbations that reenter the cosmological horizon during radiation domination epoch. We numerically solve the evolution of spherically symmetric highly perturbed configurations to clarify the criteria of PBHs formation using an extremely wide class of curvature profiles characterized by five parameters, (in contrast to only two parameters used in all previous papers) which specify the curvature profiles not only at the central region but also at the outer boundary of configurations. It is shown that formation or non-formation of PBHs is determined entirely by only two master parameters one of which can be presented as an integral of curvature over initial configurations and the other is presented in terms of the position of the boundary and the edge of the core.

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Baryon Asymmetry, Dark Matter, and Density Perturbation from PBH

Published Paper #: 411

Authors:, Tomohiro Fujita, Keisuke Harigaya, Masahiro Kawasaki, Ryo Matsuda,

Journal: Phys. Rev. D 89, 103501 (2014)

url: http://arxiv.org/pdf/1401.1909v2.pdf

Abstract: We investigate the consistency of a scenario in which the baryon asymmetry, dark matters, as well as the cosmic density perturbation are generated simultaneously through the evaporation of primordial black holes (PBHs). This scenario can explain the coincidence of the dark matter and the baryon density of the universe, and is free from the isocurvature perturbation problem. We show that this scenario predicts the masses of PBHs, right-handed neutrinos and dark matters, the Hubble scale during inflation, the non-gaussianity and the running of the spectral index. We also discuss the testability of the scenario by detecting high frequency gravitational waves from PBHs.

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Threshold of primordial black hole formation

Published Paper #: 410

Authors:, Tomohiro Harada, Chul-Moon Yoo, Kazunori Kohri,

Journal: Phys.Rev.D88:084051,2013

url: http://arxiv.org/pdf/1309.4201v4.pdf

Abstract: Based on a physical argument, we derive a new analytic formula for the amplitude of density perturbation at the threshold of primordial black hole formation in the universe dominated by a perfect fluid with the equation of state $p=w\rho c^{2}$ for $w\ge 0$. The formula gives $\delta^{\rm UH}_{H c}=\sin^{2}[\pi \sqrt{w}/(1+3w)]$ and $\tilde{\delta}_{c}=[3(1+w)/(5+3w)]\sin^{2}[\pi\sqrt{w}/(1+3w)]$, where $\delta^{\rm UH}_{H c}$ and $\tilde{\delta}_{c}$ are the amplitude of the density perturbation at the horizon crossing time in the uniform Hubble slice and the amplitude measure used in numerical simulations, respectively, while the conventional one gives $\delta^{\rm UH}_{H c}=w$ and $\tilde{\delta}_{c}=3w(1+w)/(5+3w)$. Our formula shows a much better agreement with the result of recent numerical simulations both qualitatively and quantitatively than the conventional formula. For a radiation fluid, our formula gives $\delta^{\rm UH}_{H c}=\sin^{2}(\sqrt{3}\pi/6)\simeq 0.6203$ and $\tilde{\delta}_{c}=(2/3)\sin^{2}(\sqrt{3}\pi/6)\simeq 0.4135$. We also discuss the maximum amplitude and the cosmological implications of the present result.

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Large Scale Cosmic Perturbation from Evaporation of Primordial Black   Holes

Published Paper #: 409

Authors:, Tomohiro Fujita, Keisuke Harigaya, Masahiro Kawasaki,

Journal: Phys. Rev. D 88, 123519 (2013)

url: http://arxiv.org/pdf/1306.6437v2.pdf

Abstract: We present a novel mechanism to generate the cosmic perturbation from evaporation of primordial black holes. A mass of a field is fluctuated if it is given by a vacuum expectation value of a light scalar field because of the quantum fluctuation during inflation. The fluctuated mass causes variations of the evaporation time of the primordial black holes. Therefore provided the primordial black holes dominate the universe when they evaporate, primordial cosmic perturbations are generated. We find that the amplitude of the large scale curvature perturbation generated in this scenario can be consistent with the observed value. Interestingly, our mechanism works even if all fields which are responsible for inflation and the generation of the cosmic perturbation are decoupled from the visible sector except for the gravitational interaction. An implication to the running spectral index is also discussed.

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PBH mass growth through radial accretion during the radiation dominated   era

Published Paper #: 408

Authors:, F. D. Lora-Clavijo, F. S. Guzman, A. Cruz-Osorio,

Journal: JCAP 12 (2013) 015

url: http://arxiv.org/pdf/1312.0989v1.pdf

Abstract: We model the radial accretion of radiation on Primordial Black Holes (PBH) by numerically solving Einstein's equations coupled to an ultrarelativistic ideal gas with equation of state $p=\rho/3$. We calculate the final mass of a black hole by the integration of the accreted radiation energy density during the leptonic era between $t\sim10^{-4}s$ to $t\sim 10^2s$ after the Big Bang. Our results indicate that small PBHs with initial masses between $10^{-4}$ to $1M_{\odot}$ may grow up to hundreds of solar masses, and thus can be SMBH seeds. On the other hand, PBHs formed at $t\sim 1s$ with initial mass between 900 and $\sim 980M_{\odot}$, by the time $t\sim 100s$ show masses of $10^4$ to $10^6M_{\odot}$ which are masses of seeds or already formed SMBHs. The fact that we consider only radial flow implies that our results work well as limiting cases, and it is expected that under more general scenarios the accretion rates may change significantly. Nevertheless we show that it is possible that SMBHs can be PBHs that grew due to the accretion of radiation.

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Formation and internal structure of superdense dark matter clumps and   ultracompact minihaloes

Published Paper #: 407

Authors:, V. S. Berezinsky, V. I. Dokuchaev, Yu. N. Eroshenko,

Journal: JCAP 11, 059 (2013)

url: http://arxiv.org/pdf/1308.6742v2.pdf

Abstract: We discuss the formation mechanisms and structure of the superdense dark matter clumps (SDMC) and ultracompact minihaloes (UCMH), outlining the differences between these types of DM objects. We define as SDMC the gravitationally bounded DM objects which have come into virial equilibrium at the radiation-dominated (RD) stage of the universe evolution. Such objects can be formed from the isocurvature (entropy) density perturbations or from the peaks in the spectrum of curvature (adiabatic) perturbation. The axion miniclusters (Kolb and Tkachev 1994) are the example of the former model. The system of central compact mass (e. g. in the form of SDMC or primordial black hole (PBH)) with the outer DM envelope formed in the process of secondary accretion we refer to as UCMH. Therefore, the SDMC can serve as the seed for the UCMH in some scenarios. Recently, the SDMC and UCMH were considered in the many works, and we try to systematize them here. We consider also the effect of asphericity of the initial density perturbation in the gravitational evolution, which decreases the SDMC amount and, as the result, suppresses the gamma-ray signal from DM annihilation.

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Number Counts and Non-Gaussianity

Published Paper #: 406

Authors:, Sarah Shandera, Adrienne L. Erickcek, Pat Scott, Jhon Yana Galarza,

Journal: Phys. Rev. D 88, 103506 (2013)

url: http://arxiv.org/pdf/1211.7361v2.pdf

Abstract: We describe a general procedure for using number counts of any object to constrain the probability distribution of the primordial fluctuations, allowing for generic weak non-Gaussianity. We apply this procedure to use limits on the abundance of primordial black holes and dark matter ultracompact minihalos (UCMHs) to characterize the allowed statistics of primordial fluctuations on very small scales. We present constraints on the power spectrum and the amplitude of the skewness for two different families of non-Gaussian distributions, distinguished by the relative importance of higher moments. Although primordial black holes probe the smallest scales, ultracompact minihalos provide significantly stronger constraints on the power spectrum and so are more likely to eventually provide small-scale constraints on non-Gaussianity.

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Fundamental Particle Structure in the Cosmological Dark Matter

Published Paper #: 405

Authors:, Maxim Yu. Khlopov,

Journal: International Journal of Modern Physics A, Vol. 28 (2013) 1330042
 (60 pages)

url: http://arxiv.org/pdf/1311.2468v1.pdf

Abstract: The nonbaryonic dark matter of the Universe is assumed to consist of new stable forms of matter. Their stability reflects symmetry of micro world and mechanisms of its symmetry breaking. Particle candidates for cosmological dark matter are lightest particles that bear new conserved quantum numbers. Dark matter particles may represent ideal gas of non-interacting particles. Self-interacting dark matter weakly or superweakly coupled to ordinary matter is also possible, reflecting nontrivial pattern of particle symmetry in the hidden sector of particle theory. In the early Universe the structure of particle symmetry breaking gives rise to cosmological phase transitions, from which macroscopic cosmological defects or primordial nonlinear structures can be originated. Primordial black holes (PBHs) can be not only a candidate for dark matter, but also represent a universal probe for super-high energy physics in the early Universe. Evaporating PBHs turn to be a source of even superweakly interacting particles, while clouds of massive PBHs can serve as a nonlinear seeds for galaxy formation. The observed broken symmetry of the three known families may provide a simultaneous solution for the problems of the mass of neutrino and strong CP violation in the unique framework of models of horizontal unification. The existence of new stable charged leptons and quarks is possible, hidden in elusive "dark atoms". Such possibility, strongly restricted by the constraints on anomalous isotopes of light elements, is not excluded in scenarios that predict stable double charged particles. The excessive -2 charged particles are bound in these scenarios with primordial helium in O-helium "atoms", maintaining specific nuclear-interacting form of the dark matter, which may provide an interesting solution for the puzzles of the direct dark matter searches. (abridged)

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The instabilities and (anti)-evaporation of Schwarzschild-de Sitter   black holes in modified gravity

Published Paper #: 404

Authors:, L. Sebastiani, D. Momeni, R. Myrzakulov, S. D. Odintsov,

Journal: Physical Review D, V.88, N10, 104022 (2013) [17 pages]

url: http://arxiv.org/pdf/1305.4231v2.pdf

Abstract: We investigate the future evolution of Nariai black hole which is extremal limit of Schwarzschild-de Sitter one in modified gravity. The perturbations equations around Nariai black hole are derived in static and cosmological patches for general $F(R)$-gravity. The analytical and numerical study of several realistic $F(R)$-models shows the occurence of rich variety of scenarios: instabilities, celebrated Hawking evaporation and anti-evaporation of black hole. The realization of specific scenario depends on the model under consideration. It is remarkable that the presence of such primordial black holes at current universe may indicate towards the modified gravity which supports the anti-evaporation as preferrable model. As some generalization we extend the study of Nariai black hole evolution to modified Gauss-Bonnet gravity. The corresponding perturbations equations turn out to be much more complicated than in the case of $F(R)$ gravity. For specific example of modified Gauss-Bonnet gravity we demonstrate that Nariai solution maybe stable.

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Primordial black holes in non-Gaussian regimes

Published Paper #: 403

Authors:, Sam Young, Christian T. Byrnes,

Journal: JCAP 1308 (2013) 052

url: http://arxiv.org/pdf/1307.4995v2.pdf

Abstract: Primordial black holes (PBHs) can form in the early Universe from the collapse of rare, large density fluctuations. They have never been observed, but this fact is enough to constrain the amplitude of fluctuations on very small scales which cannot be otherwise probed. Because PBHs form only in very rare large fluctuations, the number of PBHs formed is extremely sensitive to changes in the shape of the tail of the fluctuation distribution - which depends on the amount of non-Gaussianity present. We first study how local non-Gaussianity of arbitrary size up to fifth order affects the abundance and constraints from PBHs, finding that they depend strongly on even small amounts of non-Gaussianity and the upper bound on the allowed amplitude of the power spectrum can vary by several orders of magnitude. The sign of the non-linearity parameters (f_{NL}, g_{NL}, etc) are particularly important. We also study the abundance and constraints from PBHs in the curvaton scenario, in which case the complete non-linear probability distribution is known, and find that truncating to any given order (i.e. to order f_{NL} or g_{NL}, etc) does not give accurate results.

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Stars and Black Holes from the very Early Universe

Published Paper #: 402

Authors:, A. D. Dolgov, S. I. Blinnikov,

Journal: Phys. Rev. D 89, 021301 (2014)

url: http://arxiv.org/pdf/1309.3395v1.pdf

Abstract: A mechanism of creation of stellar-like objects in the very early universe, from the QCD phase transition till BBN and somewhat later, is studied. It is argued that in the considered process primordial black holes with masses above a few solar masses up to super-heavy ones could be created. This may explain an early quasar creation with evolved chemistry in surrounding medium and the low mass cutoff of the observed black holes. It is also shown that dense primordial stars can be created at the considered epoch. Such stars could later become very early supernovae and in particular high redshift gamma-bursters. In a version of the model some of the created objects can consist of antimatter.

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Constraining Primordial Black-Hole Bombs through Spectral Distortions of   the Cosmic Microwave Background

Published Paper #: 401

Authors:, Paolo Pani, Abraham Loeb,

Journal: Phys. Rev. D 88, 041301(R) (2013)

url: http://arxiv.org/pdf/1307.5176v2.pdf

Abstract: We consider the imprint of superradiant instabilities of nonevaporating primordial black holes (PBHs) on the spectrum of the cosmic microwave background (CMB). In the radiation dominated era, PBHs are surrounded by a roughly homogeneous cosmic plasma which endows photons with an effective mass through the plasma frequency. In this setting, spinning PBHs are unstable to a spontaneous spindown through the well-known "black-hole bomb" mechanism. At linear level, the photon density is trapped by the effective photon mass and grows exponentially in time due to superradiance. As the plasma density declines due to cosmic expansion, the associated energy around PBHs is released and dissipated in the CMB. We evaluate the resulting spectral distortions of the CMB in the redshift range 10^3 < z < 2x10^6. Using the existing COBE/FIRAS bounds on CMB spectral distortions, we derive upper limits on the fraction of dark matter that can be associated with spinning PBHs in the mass range 10^{-8}*Msun < M < 0.2*Msin. For maximally-spinning PBHs, our limits are much tighter than those derived from microlensing or other methods. Future data from the proposed PIXIE mission could improve our limits by several orders of magnitude.

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Primordial black holes as a tool for constraining non-Gaussianity

Published Paper #: 400

Authors:, Christian T. Byrnes, Edmund J. Copeland, Anne M. Green,

Journal: Phys. Rev. D86 043512 (2012)

url: http://arxiv.org/pdf/1206.4188v3.pdf

Abstract: Primordial Black Holes (PBH's) can form in the early Universe from the collapse of large density fluctuations. Tight observational limits on their abundance constrain the amplitude of the primordial fluctuations on very small scales which can not otherwise be constrained, with PBH's only forming from the extremely rare large fluctuations. The number of PBH's formed is therefore sensitive to small changes in the shape of the tail of the fluctuation distribution, which itself depends on the amount of non-Gaussianity present. We study, for the first time, how quadratic and cubic local non-Gaussianity of arbitrary size (parameterised by f_nl and g_nl respectively) affects the PBH abundance and the resulting constraints on the amplitude of the fluctuations on very small scales. Intriguingly we find that even non-linearity parameters of order unity have a significant impact on the PBH abundance. The sign of the non-Gaussianity is particularly important, with the constraint on the allowed fluctuation amplitude tightening by an order of magnitude as f_nl changes from just -0.5 to 0.5. We find that if PBH's are observed in the future, then regardless of the amplitude of the fluctuations, non-negligible negative f_nl would be ruled out. Finally we show that g_nl can have an even larger effect on the number of PBH's formed than f_nl.

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Primordial black hole production during preheating in a chaotic   inflationary model

Published Paper #: 399

Authors:, E. Torres-Lomas, L. Arturo Urena-Lopez,

Journal: AIP Conf.Proc. 1548 (2012) 238-243

url: http://arxiv.org/pdf/1308.1268v1.pdf

Abstract: In this paper we review the production of primordial black holes (PBHs) during preheating after a chaotic inflationary model. All relevant equations of motion are solved numerically in a modified version of HLattice, and we then calculate the mass variance to determine structure formation during preheating. It is found that production of PBHs can be a generic result of the model, even though the results seem to be sensitive to the values of the smoothing scale. We consider a constraint for overproduction of PBHs that could uncover some stress between inflation-preheating models and observations.

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Cosmological constraints on the curvaton web parameters

Published Paper #: 398

Authors:, Edgar Bugaev, Peter Klimai,

Journal: Phys. Rev. D 88, 023521 (2013)

url: http://arxiv.org/pdf/1212.6529v2.pdf

Abstract: We consider the mixed inflaton-curvaton scenario in which quantum fluctuations of the curvaton field during inflation lead to a relatively large curvature perturbation spectrum at small scales. We use the model of chaotic inflation with quadratic potential including supergravity corrections leading to a large positive tilt in the power spectrum of the curvaton field. The model is characterized by the strongly inhomogeneous curvaton field in the Universe and large non-Gaussianity of curvature perturbations at small scales. We obtained the constraints on the model parameters considering the process of primordial black hole (PBH) production in radiation era.

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Constraints on primordial black holes as dark matter candidates from   capture by neutron stars

Published Paper #: 397

Authors:, Fabio Capela, Maxim Pshirkov, Peter Tinyakov,

Journal: Phys. Rev. D 87, 123524 (2013)

url: http://arxiv.org/pdf/1301.4984v3.pdf

Abstract: We investigate constraints on primordial black holes (PBHs) as dark matter candidates that arise from their capture by neutron stars (NSs). If a PBH is captured by a NS, the star is accreted onto the PBH and gets destroyed in a very short time. Thus, mere observations of NSs put limits on the abundance of PBHs. High DM densities and low velocities are required to constrain the fraction of PBHs in DM. Such conditions may be realized in the cores of globular clusters if the latter are of a primordial origin. Assuming that cores of globular clusters possess the DM densities exceeding several hundred GeV/cm$^3$ would imply that PBHs are excluded as comprising all of the dark matter in the mass range $3\times 10^{18} \text{g} \lesssim m_\text{BH}\lesssim 10^{24} \text{g}$. At the DM density of $2\times 10^3$ GeV/cm$^3$ that has been found in simulations in the corresponding models, less than 5% of the DM may consist of PBH for these PBH masses.

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Semiclassical geons as solitonic black hole remnants

Published Paper #: 396

Authors:, Francisco S. N. Lobo, Gonzalo J. Olmo, D. Rubiera-Garcia,

Journal: JCAP 07 (2013) 011

url: http://arxiv.org/pdf/1306.2504v1.pdf

Abstract: We find that the end state of black hole evaporation could be represented by non-singular and without event horizon stable solitonic remnants with masses of the order the Planck scale and up to 16 units of charge. Though these objects are locally indistinguishable from spherically symmetric, massive electric (or magnetic) charges, they turn out to be sourceless geons containing a wormhole generated by the electromagnetic field. Our results are obtained by interpreting semiclassical corrections to Einstein's theory in the first-order (Palatini) formalism, which yields second-order equations and avoids the instabilities of the usual (metric) formulation of quadratic gravity. We also discuss the potential relevance of these solutions for primordial black holes and the dark matter problem.

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The influence of magnetic fields, turbulence, and UV radiation on the   formation of supermassive black holes

Published Paper #: 395

Authors:, C. Van Borm, M. Spaans,

Journal: A&A 553, L9 (2013)

url: http://arxiv.org/pdf/1304.4057v2.pdf

Abstract: Context. The seeds of the supermassive black holes (SMBHs) with masses of ~10^9 M_Sun observed already at z ~ 6 may have formed through the direct collapse of primordial gas in T_vir >~ 10^4 K halos, whereby the gas must stay hot (~10^4 K) in order to avoid fragmentation.   Aims. The interplay between magnetic fields, turbulence, and a UV radiation background during the gravitational collapse of primordial gas in a halo is explored; in particular, the possibilities for avoiding fragmentation are examined.   Methods. Using an analytical one-zone model, the evolution of a cloud of primordial gas is followed from its initial cosmic expansion through turnaround, virialization, and collapse up to a density of 10^7 cm-3.   Results. It was found that in halos with no significant turbulence, the critical UV background intensity (J_21^crit) for keeping the gas hot is lower by a factor ~10 for an initial comoving magnetic field B_0 ~ 2 nG than for the zero-field case, and even lower for stronger fields. In turbulent halos, J_21^crit is found to be a factor ~10 lower than for the zero-field-zero-turbulence case, and the stronger the turbulence (more massive halo and/or stronger turbulent heating) the lower J_21^crit.   Conclusions. The reduction in J_21^crit is particularly important, since it exponentially increases the number of halos exposed to a supercritical radiation background.

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Resonant high energy graviton to photon conversion at post recombination   epoch

Published Paper #: 394

Authors:, Alexander D. Dolgov, Damian Ejlli,

Journal: Phys. Rev. D 87, 104007 (2013)

url: http://arxiv.org/pdf/1303.1556v2.pdf

Abstract: Resonant conversion of high energy gravitons into photons in large scale cosmological magnetic fields at the post recombination epoch is considered. It is shown that the probability of the resonance photon production is much higher than the non-resonant one. As a result an observable isotropic background of cosmic gamma rays might be created. As shown in our previous paper, an early population of primordial black holes (PBHs) prior to big bang nucleosynthesis (BBN) could be an efficient source of high frequency gravitational waves. For the primordial black hole mass about $10^8$ g the produced photons would be the dominant component of the soft to hard Cosmic X-ray Background (CXB) and for lower masses the spectrum is shifted down to the ultraviolet and optic.

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Evolution of Primordial Black Hole Mass Spectrum in Brans-Dicke Theory

Published Paper #: 393

Authors:, Debabrata Dwivedee, Bibekananda Nayak, Lambodar Prasad Singh,

Journal: Int. J. Mod. Phys. D 22, 1350022 (2013)

url: http://arxiv.org/pdf/1208.5115v2.pdf

Abstract: We investigate the evolution of primordial black hole mass spectrum by including both accretion of radiation and Hawking evaporation within Brans-Dicke cosmology in radiation, matter and vacuum-dominated eras. We also consider the effect of evaporation of primordial black holes on the expansion dynamics of the universe. The analytic solutions describing the energy density of the black holes in equilibrium with radiation are presented. We demonstrate that these solutions act as attractors for the system ensuring stability for both linear and nonlinear situations. We show, however, that inclusion of accretion of radiation delays the onset of this equilibrium in all radiation, matter and vacuum-dominated eras.

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Primordial black hole formation in the early universe: critical   behaviour and self-similarity

Published Paper #: 392

Authors:, Ilia Musco, John C. Miller,

Journal: Class. Quantum Grav. 30 145009 (2013)

url: http://arxiv.org/pdf/1201.2379v3.pdf

Abstract: Following on after three previous papers discussing the formation of primordial black holes during the radiative era of the early universe, we present here a further investigation of the critical nature of the process involved, aimed at making contact with some of the basic underlying ideas from the literature on critical collapse. We focus on the intermediate state, which we have found appearing in cases with perturbations close to the critical limit, and examine the connection between this and the similarity solutions which play a fundamental role in the standard picture of critical collapse. We have derived a set of self-similar equations for the null-slicing form of the metric which we are using for our numerical calculations, and have then compared the results obtained by integrating these with the ones coming from our simulations for collapse of cosmological perturbations within an expanding universe. We find that the similarity solution is asymptotically approached in a region which grows to cover both the contracting matter and part of the semi-void which forms outside it. Our main interest is in the situation relevant for primordial black hole formation in the radiative era of the early universe, where the relation between the pressure $p$ and the energy density $e$ can be reasonably approximated by an expression of the form $p = we$ with $w=1/3$. However, we have also looked at other values of $w$, both because these have been considered in previous literature and also because they can be helpful for giving further insight into situations relevant for primordial black hole formation. As in our previous work, we have started our simulations with initial supra-horizon scale perturbations of a type which could have come from inflation.

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Primordial black hole formation from an axion-like curvaton model

Published Paper #: 391

Authors:, Masahiro Kawasaki, Naoya Kitajima, Tsutomu T. Yanagida,

Journal: Phys.Rev.D87:063519,2013

url: http://arxiv.org/pdf/1207.2550v2.pdf

Abstract: We argue that the existence of the cold dark matter is explained by primordial black holes.We show that a significant number of primordial black holes can be formed in an axion-like curvaton model, in which the highly blue-tilted power spectrum of primordial curvature perturbations is achieved.It is found that the produced black holes with masses $\sim 10^{20} -10^{38} \mathrm{g}$ account for the present cold dark matter.We also argue the possibility of forming the primordial black holes with mass $\sim 10^5 M_{\odot}$ as seeds of the supermassive black holes.

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Primordial black hole constraints for curvaton models with predicted   large non-Gaussianity

Published Paper #: 390

Authors:, E. V. Bugaev, P. A. Klimai,

Journal: Int. J. Mod. Phys. D 22, 1350034 (2013)

url: http://arxiv.org/pdf/1303.3146v1.pdf

Abstract: We consider the early Universe scenario which allows for production of non-Gaussian curvature perturbations at small scales. We study the peculiarities of a formation of primordial black holes (PBHs) connected with the non-Gaussianity. In particular, we show that PBH constraints on the values of curvature perturbation power spectrum amplitude are strongly dependent on the shape of perturbations and can significantly (by two orders of magnitude) deviate from the usual Gaussian limit ${\cal P}_\zeta \lesssim 10^{-2}$. We give examples of PBH mass spectra calculations and PBH constraints for the particular case of the curvaton model.

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On the gravitational wave background from compact binary coalescences in   the band of ground-based interferometers

Published Paper #: 389

Authors:, Xing-Jiang Zhu, Eric J. Howell, David G. Blair, Zong-Hong Zhu,

Journal: MNRAS (2013) 431: 882-899

url: http://arxiv.org/pdf/1209.0595v4.pdf

Abstract: This paper reports a comprehensive study on the gravitational wave (GW) background from compact binary coalescences. We consider in our calculations newly available observation-based neutron star and black hole mass distributions and complete analytical waveforms that include post-Newtonian amplitude corrections. Our results show that: (i) post-Newtonian effects cause a small reduction in the GW background signal; (ii) below 100 Hz the background depends primarily on the local coalescence rate $r_0$ and the average chirp mass and is independent of the chirp mass distribution; (iii) the effects of cosmic star formation rates and delay times between the formation and merger of binaries are linear below 100 Hz and can be represented by a single parameter within a factor of ~ 2; (iv) a simple power law model of the energy density parameter $\Omega_{GW}(f) ~ f^{2/3}$ up to 50-100 Hz is sufficient to be used as a search template for ground-based interferometers. In terms of the detection prospects of the background signal, we show that: (i) detection (a signal-to-noise ratio of 3) within one year of observation by the Advanced LIGO detectors (H1-L1) requires a coalescence rate of $r_0 = 3 (0.2) Mpc^{-3} Myr^{-1}$ for binary neutron stars (binary black holes); (ii) this limit on $r_0$ could be reduced 3-fold for two co-located detectors, whereas the currently proposed worldwide network of advanced instruments gives only ~ 30% improvement in detectability; (iii) the improved sensitivity of the planned Einstein Telescope allows not only confident detection of the background but also the high frequency components of the spectrum to be measured. Finally we show that sub-threshold binary neutron star merger events produce a strong foreground, which could be an issue for future terrestrial stochastic searches of primordial GWs.

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Improved constraints on the primordial power spectrum at small scales   from ultracompact minihalos

Published Paper #: 388

Authors:, Torsten Bringmann, Pat Scott, Yashar Akrami,

Journal: Phys. Rev. D 85, 125027 (2012)

url: http://arxiv.org/pdf/1110.2484v3.pdf

Abstract: For a Gaussian spectrum of primordial density fluctuations, ultracompact minihalos (UCMHs) of dark matter are expected to be produced in much greater abundance than, e.g., primordial black holes. Forming shortly after matter-radiation equality, these objects would develop very dense and spiky dark matter profiles. In the standard scenario where dark matter consists of thermally-produced, weakly-interacting massive particles, UCMHs could thus appear as highly luminous gamma-ray sources, or leave an imprint in the cosmic microwave background by changing the reionisation history of the Universe. We derive corresponding limits on the cosmic abundance of UCMHs at different epochs, and translate them into constraints on the primordial power spectrum. We find the resulting constraints to be quite severe, especially at length scales much smaller than what can be directly probed by the cosmic microwave background or large-scale structure observations. We use our results to provide an updated compilation of the best available constraints on the power of density fluctuations on all scales, ranging from the present-day horizon to scales more than 20 orders of magnitude smaller.

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AGN III - primordial activity in nuclei of late-type galaxies with   pseudobulges

Published Paper #: 387

Authors:, B. V. Komberg, A. A. Ermash,

Journal: Astronomy Reports, vol.57, issue 6, pages 401-409, 2013

url: http://arxiv.org/pdf/1302.2942v1.pdf

Abstract: 1. Based on observational data on evolution of quasars and galaxies of different types along with the results of numerical simulations we make a conclusion that on low redshifts ($z<0.5$) QSOI/II objects in massive elliptical and spiral galaxies with classical bulges cannot be in late single activity event (be "primordial"). Instead of it they have had events of activity earlier in their evolution. It means that their presence on low redshifts is connected with the recurrence phenomenon, sequential wet minor mergings, because timescale of the activity does not exceed several units of $10^7$ years.   2. We define a new class - "AGN III" as active galactic nuclei in isolated late-type spirals with low-mass rapidly rotating pseudobulges. We also state that only such objects can be in the primordial phase of activity at low redshifts. Black holes in such galaxies have masses $M_{BH}<10^7M_\odot$ and also, probably very high spin. Such properties can explain their peculiar emission spectra.   A good representative of AGN III might be the galaxies with narrow (${\rm FWHM}(H\beta)\leq1200$ km/s) broad permitted emission lines - NLS. It is believed that their black hole masses are less than $M_{BH}<10^7M_\odot$ and their host galaxies have pseudobulges instead of the classical ones. Because host galaxies of NLS have pseudobulges and BLS (Broad-Line Seyfert galaxies) have classical bulges these two types of objects cannot have evolutionary connection. Presumably, the parent population of NLS are the quasars of "population A".

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Constraints on primordial black holes as dark matter candidates from   star formation

Published Paper #: 386

Authors:, Fabio Capela, Maxim Pshirkov, Peter Tinyakov,

Journal: Phys. Rev. D 87, 023507 (2013)

url: http://arxiv.org/pdf/1209.6021v3.pdf

Abstract: By considering adiabatic contraction of the dark matter (DM) during star formation, we estimate the amount of DM trapped in stars at their birth. If the DM consists partly of primordial black holes (PBHs), they will be trapped together with the rest of the DM and will be finally inherited by a star compact remnant --- a white dwarf (WD) or a neutron star (NS), which they will destroy in a short time. Observations of WDs and NSs thus impose constraints on the abundance of PBH. We show that the best constraints come from WDs and NSs in globular clusters which exclude the DM consisting entirely of PBH in the mass range $10^{16}{\rm g} - 3\times 10^{22}{\rm g}$, with the strongest constraint on the fraction $\Omega_{\rm PBH} /\Omega_{\rm DM}\lesssim 10^{-2}$ being in the range of PBH masses $10^{17}{\rm g} - 10^{18}$ g.

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Spacetimes with Singularities

Published Paper #: 385

Authors:, Ovidiu Cristinel Stoica,

Journal: An. St. Univ. Ovidius Constanta (2012) vol. 20(2), 213-238

url: http://arxiv.org/pdf/1108.5099v4.pdf

Abstract: We report on some advances made in the problem of singularities in general relativity.   First is introduced the singular semi-Riemannian geometry for metrics which can change their signature (in particular be degenerate). The standard operations like covariant contraction, covariant derivative, and constructions like the Riemann curvature are usually prohibited by the fact that the metric is not invertible. The things become even worse at the points where the signature changes. We show that we can still do many of these operations, in a different framework which we propose. This allows the writing of an equivalent form of Einstein's equation, which works for degenerate metric too.   Once we make the singularities manageable from mathematical viewpoint, we can extend analytically the black hole solutions and then choose from the maximal extensions globally hyperbolic regions. Then we find space-like foliations for these regions, with the implication that the initial data can be preserved in reasonable situations. We propose qualitative models of non-primordial and/or evaporating black holes.   We supplement the material with a brief note reporting on progress made since this talk was given, which shows that we can analytically extend the Schwarzschild and Reissner-Nordstrom metrics at and beyond the singularities, and the singularities can be made degenerate and handled with the mathematical apparatus we developed.

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ASTROD-GW: Overview and Progress

Published Paper #: 384

Authors:, Wei-Tou Ni,

Journal: International Journal of Modern Physics D Vol. 22, No. 1 (2013)
 1341004 (33 pages)

url: http://arxiv.org/pdf/1212.2816v2.pdf

Abstract: In this paper, we present an overview of ASTROD-GW (ASTROD [Astrodynamical Space Test of Relativity using Optical Devices] optimized for Gravitational Wave [GW] detection) mission concept and its studies. ASTROD-GW is an optimization of ASTROD which focuses on low frequency gravitational wave detection. The detection sensitivity is shifted by a factor of 260 (52) towards longer wavelengths compared with that of NGO/eLISA (LISA). The mission consists of three spacecraft, each of which orbits near one of the Sun-Earth Lagrange points (L3, L4 and L5), such that the array forms an almost equilateral triangle. The 3 spacecraft range interferometrically with one another with an arm length of about 260 million kilometers. The orbits have been optimized resulting in arm length changes of less than 0.00015 AU or, fractionally, less than 10^(-4) in twenty years, and relative Doppler velocities of the three spacecraft of less than 3 m/s. In this paper, we present an overview of the mission covering: the scientific aims, the sensitivity spectrum, the basic orbit configuration, the simulation and optimization of the spacecraft orbits, the deployment of ASTROD-GW formation, TDI (Time Delay Interferometry) and the payload. The science goals are the detection of GWs from (i) Supermassive Black Holes; (ii) Extreme-Mass-Ratio Black Hole Inspirals; (iii) Intermediate-Mass Black Holes; (iv) Galactic Compact Binaries and (v) Relic Gravitational Wave Background. For the purposes of primordial GW detection, a six spacecraft formation would be needed to enable the correlated detection of stochastic GWs. A brief discussion of the six spacecraft orbit optimization is also presented.

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Conversion of relic gravitational waves into photons in cosmological   magnetic fields

Published Paper #: 383

Authors:, Alexander D. Dolgov, Damian Ejlli,

Journal: JCAP 1212 (2012) 003

url: http://arxiv.org/pdf/1211.0500v2.pdf

Abstract: Conversion of gravitational waves into electromagnetic radiation is discussed. The probability of transformations of gravitons into photons in presence of cosmological background magnetic field is calculated at the recombination epoch and during subsequent cosmological stages. The produced electromagnetic radiation is concentrated in the X-ray part of the spectrum. It is shown that if the early Universe was dominated by primordial black holes (PBHs) prior to Big Bang Nucleosynthesis (BBN), the relic gravitons emitted by PBHs would transform to an almost isotropic background of electromagnetic radiation due to conversion of gravitons into photons in cosmological magnetic fields. Such extragalactic radiation could be noticeable or even dominant component of Cosmic X-ray Background.

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Primordial black hole formation from non-Gaussian curvature   perturbations

Published Paper #: 382

Authors:, P. A. Klimai, E. V. Bugaev,

Journal: Proc. of 17th Int. Seminar QUARKS-2012, Yaroslavl, Russia, June
 4-10, 2012; Vol. 2, pp. 163-174; Moscow, 2013

url: http://arxiv.org/pdf/1210.3262v2.pdf

Abstract: We consider several early Universe models that allow for production of large curvature perturbations at small scales. As is well known, such perturbations can lead to formation of primordial black holes (PBHs). We briefly review the today's situation with PBH constraints and then focus on two models in which strongly non-Gaussian curvature perturbations are predicted: the hybrid inflation waterfall model and the curvaton model. We show that PBH constraints on the values of curvature perturbation power spectrum amplitude are strongly dependent on the shape of perturbations and can significantly (by two orders of magnitude) deviate from the usual Gaussian limit ${\cal P}_\zeta \lesssim 10^{-2}$. We give examples of PBH mass spectra calculations for both inflationary models.

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Clusters of Black Holes as Point-Like Gamma-ray Sources

Published Paper #: 381

Authors:, K. M. Belotsky, A. V. Berkov, A. A. Kirillov, S. G. Rubin,

Journal: Astroparticle Physics 35 (2011) 28-32

url: http://arxiv.org/pdf/1212.2524v1.pdf

Abstract: The possibility of identifying some of Galactic gamma-ray sources as clusters of primordial black holes is discussed. The known scenarios of supermassive black hole formation indicate the multiple formation of lower-mass black holes. Our analysis demonstrates that due to Hawking evaporation the cluster of black holes with masses about $10^{15}$ g could be observed as a gamma-ray source. The total mass of typical cluster is $\sim 10 M_\odot$. Detailed calculations have been performed on the basis of specific model of primordial black hole formation.

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Self-consistent initial conditions for primordial black hole formation

Published Paper #: 380

Authors:, A. G. Polnarev, Tomohiro Nakama, Jun'ichi Yokoyama,

Journal: JCAP09(2012)027

url: http://arxiv.org/pdf/1204.6601v2.pdf

Abstract: For an arbitrary strong, spherically symmetric super-horizon curvature perturbation, we present analytical solutions of the Einstein equations in terms of asymptotic expansion over the ratio of the Hubble radius to the length-scale of the curvature perturbation under consideration. To obtain this solution we develop a recursive method of quasi-linearization which reduces the problem to a system of coupled ordinary differential equations for the $N$-th order terms in the asymptotic expansion with sources consisting of a non-linear combination of the lower order terms. We use this solution for setting initial conditions for subsequent numerical computations. For an arbitrary precision requirement predetermined by the intended accuracy and stability of the computer code, our analytical solution yields optimal truncated asymptotic expansion which can be used to find the upper limit on the moment of time when the initial conditions expressed in terms of such truncated expansion should be set. Examples of how these truncated (up to eighth order) solutions provide initial conditions with given accuracy for different radial profiles of curvature perturbations are presented.

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Observable Spectra of Induced Gravitational Waves from Inflation

Published Paper #: 379

Authors:, Laila Alabidi, Kazunori Kohri, Misao Sasaki, Yuuiti Sendouda,

Journal: JCAP 09:017, 2012

url: http://arxiv.org/pdf/1203.4663v2.pdf

Abstract: Measuring the primordial power spectrum on small scales is a powerful tool in inflation model building, yet constraints from Cosmic Microwave Background measurements alone are insufficient to place bounds stringent enough to be appreciably effective. For the very small scale spectrum, those which subtend angles of less than 0.3 degrees on the sky, an upper bound can be extracted from the astrophysical constraints on the possible production of primordial black holes in the early universe. A recently discovered observational by-product of an enhanced power spectrum on small scales, induced gravitational waves, have been shown to be within the range of proposed space based gravitational wave detectors; such as NASA's LISA and BBO detectors, and the Japanese DECIGO detector. In this paper we explore the impact such a detection would have on models of inflation known to lead to an enhanced power spectrum on small scales, namely the Hilltop-type and running mass models. We find that the Hilltop-type model can produce observable induced gravitational waves within the range of BBO and DECIGO for integral and fractional powers of the potential within a reasonable number of e-folds. We also find that the running mass model can produce a spectrum within the range of these detectors, but require that inflation terminates after an unreasonably small number of e-folds. Finally, we argue that if the thermal history of the Universe were to accomodate such a small number of e-folds the Running Mass Model can produce Primordial Black Holes within a mass range compatible with Dark Matter, i.e. within a mass range 10^{20}g< M_{BH}<10^{27}g.

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Unimodular bimode gravity and the coherent scalar-graviton field as   galaxy dark matter

Published Paper #: 378

Authors:, Yu. F. Pirogov,

Journal: Eur. Phys. J. C 72 (2012) 2017

url: http://arxiv.org/pdf/1111.1437v3.pdf

Abstract: The explicit violation of the general gauge invariance/relativity is adopted as the origin of dark matter and dark energy of the gravitational nature. The violation of the local scale invariance alone, with the residual unimodular one, is considered. Besides the four-volume preserving deformation mode -- the transverse-tensor graviton -- the metric comprises a compression mode -- the scalar graviton, or the systolon. A unimodular invariant and general covariant metric theory of the bimode/scalar-tensor gravity is consistently worked out. To reduce the primordial ambiguity of the theory a dynamical global symmetry is imposed, with its subsequent spontaneous breaking revealed. The static spherically symmetric case in the empty, but possibly for the origin, space is studied. A three-parameter solution describing a new static space structure -- the dark lacuna -- is constructed. It enjoys the property of gravitational confinement, with the logarithmic potential of gravitational attraction at the periphery, and results in the asymptotically flat rotation curves. Comprising a super-massive dark fracture (a scalar-modified black hole) at the origin surrounded by a cored dark halo, the dark lacunas are proposed as a prototype model of galaxies, implying an ultimate account for the distributed non-gravitational matter and a putative asphericity or rotation.

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A new probe of the small-scale primordial power spectrum: astrometric   microlensing by ultracompact minihalos

Published Paper #: 377

Authors:, Fangda Li, Adrienne L. Erickcek, Nicholas M. Law,

Journal: Phys.Rev.D86,043519(2012)

url: http://arxiv.org/pdf/1202.1284v2.pdf

Abstract: The dark matter enclosed in a density perturbation with a large initial amplitude (delta-rho/rho > 1e-3) collapses shortly after recombination and forms an ultracompact minihalo (UCMH). Their high central densities make UCMHs especially suitable for detection via astrometric microlensing: as the UCMH moves, it changes the apparent position of background stars. A UCMH with a mass larger than a few solar masses can produce a distinctive astrometric microlensing signal that is detectable by the space astrometry mission Gaia. If Gaia does not detect gravitational lensing by any UCMHs, then it establishes an upper limit on their abundance and constrains the amplitude of the primordial power spectrum for k~2700 Mpc^{-1}. These constraints complement the upper bound on the amplitude of the primordial power spectrum derived from limits on gamma-ray emission from UCMHs because the astrometric microlensing signal produced by an UCMH is maximized if the dark-matter annihilation rate is too low to affect the UCMH's density profile. If dark matter annihilation within UCMHs is not detectable, a search for UCMHs by Gaia could constrain the amplitude of the primordial power spectrum to be less than 1e-5; this bound is three orders of magnitude stronger than the bound derived from the absence of primordial black holes.

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Primordial Black Hole Evaporation and Spontaneous Dimensional Reduction

Published Paper #: 376

Authors:, J. R. Mureika,

Journal: Phys. Lett. B 716, 171-175 (2012)

url: http://arxiv.org/pdf/1204.3619v3.pdf

Abstract: Several different approaches to quantum gravity suggest the effective dimension of spacetime reduces from four to two near the Planck scale. In light of such evidence, this letter re-examines the thermodynamics of primordial black holes (PBHs) in specific lower-dimensional gravitational models. Unlike in four dimensions, $\done$-D black holes radiate with power $P \sim \Mbh^2$, while it is known no $(2+1)-$D (BTZ) black holes can exist in a non-anti-deSitter universe. This has important relevance to the PBH population size and distribution, and consequently on cosmological evolution scenarios. The number of PBHs that have evaporated to present day is estimated, assuming they account for all dark matter. Entropy conservation during dimensional transition imposes additional constraints. If the cosmological constant is non-negative, no black holes can exist in the $(2+1)$-dimensional epoch, and consequently a $(1+1)$-dimensional black hole will evolve to become a new type of remnant. Although these results are conjectural and likely model-dependent, they open new questions about the viability of PBHs as dark matter candidates.

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Accretion of non-minimally coupled generalized Chaplygin gas into black   holes

Published Paper #: 375

Authors:, Manuela G. Rodrigues, Alex E. Bernardini,

Journal: Int. J. Mod. Phys. D21, 1250075 (2012)

url: http://arxiv.org/pdf/1208.1572v1.pdf

Abstract: The mass evolution of Schwarzschild black holes by the absorption of scalar fields is investigated in the scenario of the generalized Chaplygin gas (GCG). The GCG works as a unification picture of dark matter plus dark energy that naturally accelerates the expansion of the Universe. Through elements of the quasi-stationary approach, we consider the mass evolution of Schwarzschild black holes accreted by non-minimally coupled cosmological scalar fields reproducing the dynamics of the GCG. As a scalar field non-minimally coupled to the metrics, such an exotic content has been interconnected with accreting black holes. The black hole increasing masses by the absorption of the gas reflects some consistence of the accretion mechanism with the hypothesis of the primordial origin of supermassive black holes. Our results effectively show that the non-minimal coupling with the GCG dark sector accelerates the increasing of black hole masses. Meanwhile some exotic features can also be depicted for specific ranges of the non-minimal coupling in which the GCG dynamics is substantially modified.

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Schwarzschild black holes can wear scalar wigs

Published Paper #: 374

Authors:, Juan Barranco, Argelia Bernal, Juan Carlos Degollado, Alberto Diez-Tejedor, Miguel Megevand, Miguel Alcubierre, Darío Núñez, Olivier Sarbach,

Journal: Phys. Rev. Lett. 109, 081102 (2012)

url: http://arxiv.org/pdf/1207.2153v1.pdf

Abstract: We study the evolution of a massive scalar field surrounding a Schwarzschild black hole and find configurations that can survive for arbitrarily long times, provided the black hole or the scalar field mass is small enough. In particular, both ultra-light scalar field dark matter around supermassive black holes and axion-like scalar fields around primordial black holes can survive for cosmological times. Moreover, these results are quite generic, in the sense that fairly arbitrary initial data evolves, at late times, as a combination of those long-lived configurations.

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Detecting unresolved moving sources in a diffuse background

Published Paper #: 373

Authors:, Alex Geringer-Sameth, Savvas M. Koushiappas,

Journal: Monthly Notices of the Royal Astronomical Society, Vol. 425, pp.
 862-877 (2012)

url: http://arxiv.org/pdf/1012.1873v2.pdf

Abstract: We present a statistical technique which can be used to detect the presence and properties of moving sources contributing to a diffuse background. The method is a generalization of the 2-point correlation function to include temporal as well as spatial information. We develop a formalism which allows for a derivation of the spacetime 2-point function in terms of the properties of the contributing sources. We test this technique in simulated sky maps, and demonstrate its robustness in identifying the presence of moving and stationary sources. Applications of this formalism to the diffuse gamma-ray background include searches for solar system bodies, fast moving primordial black holes, and dense cores of dark matter proto-halos in the solar neighborhood. Other applications include detecting the contribution of energetic neutrinos originating in the solar system, as well as probing compact objects in long timeline lensing experiments.

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Constraints on small-scale cosmological perturbations from gamma-ray   searches for dark matter

Published Paper #: 372

Authors:, Pat Scott, Torsten Bringmann, Yashar Akrami,

Journal: J. Phys.: Conf. Ser. 375 (2012) 032012

url: http://arxiv.org/pdf/1205.1432v1.pdf

Abstract: Events like inflation or phase transitions can produce large density perturbations on very small scales in the early Universe. Probes of small scales are therefore useful for e.g. discriminating between inflationary models. Until recently, the only such constraint came from non-observation of primordial black holes (PBHs), associated with the largest perturbations. Moderate-amplitude perturbations can collapse shortly after matter-radiation equality to form ultracompact minihalos (UCMHs) of dark matter, in far greater abundance than PBHs. If dark matter self-annihilates, UCMHs become excellent targets for indirect detection. Here we discuss the gamma-ray fluxes expected from UCMHs, the prospects of observing them with gamma-ray telescopes, and limits upon the primordial power spectrum derived from their non-observation by the Fermi Large Area Space Telescope.

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Formation of primordial black holes from non-Gaussian perturbations   produced in a waterfall transition

Published Paper #: 371

Authors:, Edgar Bugaev, Peter Klimai,

Journal: Phys.Rev.D85:103504,2012

url: http://arxiv.org/pdf/1112.5601v2.pdf

Abstract: We consider the process of primordial black hole (PBH) formation originated from primordial curvature perturbations produced during waterfall transition (with tachyonic instability), at the end of hybrid inflation. It is known that in such inflation models, rather large values of curvature perturbation amplitudes can be reached, which can potentially cause a significant PBH production in the early Universe. The probability distributions of density perturbation amplitudes in this case can be strongly non-Gaussian, which requires a special treatment. We calculated PBH abundances and PBH mass spectra for the model, and analyzed their dependence on model parameters. We obtained the constraints on the parameters of the inflationary potential, using the available limits on $\beta_{PBH}$.

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Primordial seeds of supermassive black holes

Published Paper #: 370

Authors:, Masahiro Kawasaki, Alexander Kusenko, Tsutomu T. Yanagida,

Journal: Physics Letters B 711 (2012) 1

url: http://arxiv.org/pdf/1202.3848v2.pdf

Abstract: Supermassive black holes exist in the centers of galaxies, including Milky Way, but there is no compelling theory of their formation. Furthermore, observations of quasars imply that supermassive black holes have already existed at some very high redshifts, suggesting the possibility of their primordial origin. In a class of well-motivated models, inflationary epoch could include two or more periods of inflation dominated by different scalar fields. The transition between such periods of inflation could enhance the spectrum of density perturbations on some specific scale, which could lead to formation of primordial black holes with a very narrow range of masses of the order of 10^5 solar masses. These primordial black holes could have provided the requisite seeds for the observed population of supermassive black holes.

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Fourth level MSSM inflation from new flat directions

Published Paper #: 369

Authors:, Sayantan Choudhury, Supratik Pal,

Journal: JCAP 04 (2012) 018

url: http://arxiv.org/pdf/1111.3441v3.pdf

Abstract: We propose a model of inflation driven by minimal extension of SUSY, commonly known as MSSM. Starting from gauge invariant flat directions in the n = 4 level comprising of QQQL,QuQd,QuLe and uude, we construct the inflaton potential and employ it to investigate for its consequences around the saddle point arising from the non-vanishing fourth derivative of the original potential. To this end, we derive the expressions for the important parameters in MSSM inflation using the loop corrected potential. We further estimate the observable parameters and find them to fit well with recent observational data from WMAP7 by using the code CAMB. We also explore the possibility of primordial black hole formation from our model. Finally, we analyze one loop RGE and compute different phenomenological parameters which could be precisely determined in LHC or future Linear Colliders.

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Implications of a viscosity bound on black hole accretion

Published Paper #: 368

Authors:, Aninda Sinha, Banibrata Mukhopadhyay,

Journal: Phys. Lett. B709 (2012) 289-292

url: http://arxiv.org/pdf/1108.5177v2.pdf

Abstract: Motivated by the viscosity bound in gauge/gravity duality, we consider the ratio of shear viscosity (eta) to entropy density (s) in black hole accretion flows. We use both an ideal gas equation of state and the QCD equation of state obtained from lattice for the fluid accreting onto a Kerr black hole. The QCD equation of state is considered since the temperature of accreting matter is expected to approach 10^{12}K in certain hot flows. We find that in both the cases eta/s is small only for primordial black holes and several orders of magnitude larger than any known fluid for stellar and supermassive black holes. We show that a lower bound on the mass of primordial black holes leads to a lower bound on eta/s and vice versa. Finally we speculate that the Shakura-Sunyaev viscosity parameter should decrease with increasing density and/or temperatures.

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Evolution of Primordial Black Holes in Loop Quantum Gravity

Published Paper #: 367

Authors:, Debabrata Dwivedee, Bibekananda Nayak, Mubasher Jamil, Lambodar Prasad Singh,

Journal: J. Astrophys. Astr. (2014) 35, 97-106

url: http://arxiv.org/pdf/1110.6350v2.pdf

Abstract: In this work, we study the evolution of Primordial Black Holes within the context of Loop Quantum Gravity. First we calculate the scale factor and energy density of the universe for different cosmic era and then taking these as inputs we study evolution of primordial black holes. From our estimation it is found that accretion of radiation does not affect evolution of primordial black holes in loop quantum gravity even though a larger number of primordial black holes may form in early universe in comparison with Einstein's or scalar-tensor theories.

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Can the Reissner-Nordström black hole or Schwarzschild black hole be   the stable Planck-scale particle accelerator?

Published Paper #: 366

Authors:, Yi Zhu, Shao-Feng Wu, Yin Jiang, Guo-Hong Yang,

Journal: Phys. Rev. D 84, 123002 (2011)

url: http://arxiv.org/pdf/1108.1843v2.pdf

Abstract: It is shown that the extremal Reissner-Nordstr\"{o}m black hole, the non-extremal one with multiple scattering particles, and the Schwarzschild black hole with radial head-on particles are stable under the collision of the particles near the horizon, if the back-reaction effect and the effect generated by gravity of particles are involved. Moreover, the collision near Reissner-Nordstr\"{o}m black holes with astrophysically typical mass can not generate the Planck-scale center-of-mass energy. However, the head-on collision near the typical primordial black hole could just occur at the Planck-energy scale.

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Clustering of Primordial Black Holes. II. Evolution of Bound Systems

Published Paper #: 365

Authors:, James R. Chisholm,

Journal: Phys. Rev. D 84, 124031 (2011)

url: http://arxiv.org/pdf/1110.4402v1.pdf

Abstract: Primordial Black Holes (PBHs) that form from the collapse of density perturbations are more clustered than the underlying density field. In a previous paper, we showed the constraints that this has on the prospects of PBH dark matter. In this paper we examine another consequence of this clustering: the formation of bound systems of PBHs in the early universe. These would hypothetically be the earliest gravitationally collapsed structures, forming when the universe is still radiation dominated. Depending upon the size and occupation of the clusters, PBH merging occurs before they would have otherwise evaporated due to Hawking evaporation.

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Constraints on vector unparticle physics from cosmic censorship

Published Paper #: 364

Authors:, J. R. Mureika,

Journal: Int. J. Theor. Phys. 51, 1259-1267 (2012)

url: http://arxiv.org/pdf/0909.4511v2.pdf

Abstract: Vector unparticle couplings to standard model fields produce repulsive corrections to gravity. From a general relativistic perspective, this leads to an effective Reissner-Nordstr\"om-like metric whose "charge" is a function of the unparticle coupling constant $\lambda$, and therefore can admit naked singularities. Requiring the system to respect cosmic censorship provides a new method of constraining the value of $\lambda$. These limits are extremely loose for stellar-mass black holes, but commensurate with existing bounds for primordial black holes. In the case of theoretical low-mass black holes, the bounds on $\lambda$ are much stricter than those derived from astrophysical and accelerator phenomenology. Additional constraints on the lower limit of $\lambda$ are used to estimate the mass of the smallest possible black hole $\Mbh^{\rm min}$ that can be formed in the unparticle framework, as a function of the unparticle parameters ($\Lambda_\unp,M_\unp,\du,\dbz$).

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Curvature perturbation spectra from waterfall transition, black hole   constraints and non-Gaussianity

Published Paper #: 363

Authors:, Edgar Bugaev, Peter Klimai,

Journal: JCAP 11 (2011) 028

url: http://arxiv.org/pdf/1107.3754v2.pdf

Abstract: We carried out numerical calculations of a contribution of the waterfall field to the primordial curvature perturbation (on uniform density hypersurfaces) $\zeta$, which is produced during waterfall transition in hybrid inflation scenario. The calculation is performed for a broad interval of values of the model parameters. We show that there is a strong growth of amplitudes of the curvature perturbation spectrum in the limit when the bare mass-squared of the waterfall field becomes comparable with the square of Hubble parameter. We show that in this limit the primordial black hole constraints on the curvature perturbations must be taken into account. It is shown that, in the same limit, peak values of the curvature perturbation spectra are far beyond horizon, and the spectra are strongly non-Gaussian.

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Supersonic baryon-CDM velocities and CMB B-mode polarization

Published Paper #: 362

Authors:, Simone Ferraro, Kendrick M. Smith, Cora Dvorkin,

Journal: Phys. Rev. D 85, 043523 (2012)

url: http://arxiv.org/pdf/1110.2182v1.pdf

Abstract: It has recently been shown that supersonic relative velocities between dark matter and baryonic matter can have a significant effect on formation of the first structures in the universe. If this effect is still non-negligible during the epoch of hydrogen reionization, it generates large-scale anisotropy in the free electron density, which gives rise to a CMB B-mode. We compute the B-mode power spectrum and find a characteristic shape with acoustic peaks at l ~ 200, 400, ... The amplitude of this signal is a free parameter which is related to the dependence of the ionization fraction on the relative baryon-CDM velocity during the epoch of reionization. However, we find that the B-mode signal is undetectably small for currently favored reionization models in which hydrogen is reionized promptly at z ~ 10, although constraints on this signal by future experiments may help constrain models in which partial reionization occurs at higher redshift, e.g. by accretion onto primordial black holes.

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Transient solar oscillations driven by primordial black holes

Published Paper #: 361

Authors:, Michael Kesden, Shravan Hanasoge,

Journal: Phys. Rev. Lett. 107, 111101 (2011)

url: http://arxiv.org/pdf/1106.0011v2.pdf

Abstract: Stars are transparent to the passage of primordial black holes (PBHs) and serve as seismic detectors for such objects. The gravitational field of a PBH squeezes a star and causes it to ring acoustically. We calculate the seismic signature of a PBH passing through the Sun. The background for this signal is the observed spectrum of solar oscillations excited by supersonic turbulence. We predict that PBHs more massive than 10^21 g (comparable in mass to an asteroid) are detectable by existing solar observatories. The oscillations excited by PBHs peak at large scales and high frequencies, making them potentially detectable in other stars. The discovery of PBHs would have profound implications for cosmology and high-energy physics.

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Eccentric Black Hole-Neutron Star Mergers

Published Paper #: 360

Authors:, Branson C. Stephens, William E. East, Frans Pretorius,

Journal: ApJ, 737, L5 (2011)

url: http://arxiv.org/pdf/1105.3175v2.pdf

Abstract: Within the next few years gravitational waves (GWs) from merging black holes (BHs) and neutron stars (NSs) may be directly detected, making a thorough theoretical understanding of these systems a high priority. As an additional motivation, these systems may represent a subset of short-duration gamma-ray burst (sGRB) progenitors. BH-NS mergers are expected to result from primordial, quasi-circular inspiral as well as dynamically formed capture binaries. The latter channel allows mergers with high eccentricity, resulting in a richer variety of outcomes. We perform general relativistic simulations of BH-NS interactions with a range of impact parameters, and find significant variation in the properties of these events that have potentially observable consequences, namely the GW signature, remnant accretion disk mass, and amount of unbound material.

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Effect of Vacuum Energy on Evolution of Primordial Black Holes in   Einstein Gravity

Published Paper #: 359

Authors:, Bibekananda Nayak, Mubasher Jamil,

Journal: Phys. Lett. B Volume 709, Issue 3 (2012)118-122

url: http://arxiv.org/pdf/1107.2025v1.pdf

Abstract: We study the evolution of primordail black holes by considering present universe is no more matter dominated rather vacuum energy dominated. We also consider the accretion of radiation, matter and vacuum energy during respective dominance period. In this scenario, we found that radiation accretion efficiency should be less than 0.366 and accretion rate is much larger than previous analysis by B. Nayak et al. \cite{ns}. Thus here primordial black holes live longer than previous works \cite{ns}. Again matter accretion slightly increases the mass and lifetime of primordial black holes. However, the vacuum energy accretion is slightly complicated one, where accretion is possible only upto a critical time. This critical time depends on the values of accretion efficiency and formation time. If a primordial black hole lives beyond critical time, then its lifespan increases due to vacuum energy accretion. But for presently evaporating primordial black holes, critical time comes much later than their evaporating time and thus vacuum energy could not affect those primordial black holes. We again found that the constraints on the initial mass fraction of PBH obtained from the $\gamma$-ray background limit becomes stronger in the presence of vacuum energy.

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Stochastic Gravitational Wave Background from Coalescing Binary Black   Holes

Published Paper #: 358

Authors:, Xing-Jiang Zhu, Eric Howell, Tania Regimbau, David Blair, Zong-Hong Zhu,

Journal: Astrophys. J., 739, 86 (2011)

url: http://arxiv.org/pdf/1104.3565v3.pdf

Abstract: We estimate the stochastic gravitational wave (GW) background signal from the field population of coalescing binary stellar mass black holes (BHs) throughout the Universe. This study is motivated by recent observations of BH-Wolf-Rayet star systems and by new estimates in the metallicity abundances of star forming galaxies that imply BH-BH systems are more common than previously assumed. Using recent analytical results of the inspiral-merger-ringdown waveforms for coalescing binary BH systems, we estimate the resulting stochastic GW background signal. Assuming average quantities for the single source energy emissions, we explore the parameter space of chirp mass and local rate density required for detection by advanced and third generation interferometric GW detectors. For an average chirp mass of 8.7$M_{\odot}$, we find that detection through 3 years of cross-correlation by two advanced detectors will require a rate density, $r_0 \geq 0.5 \rm{Mpc}^{-3} \rm{Myr}^{-1}$. Combining data from multiple pairs of detectors can reduce this limit by up to 40%. Investigating the full parameter space we find that detection could be achieved at rates $r_0 \sim 0.1 \rm{Mpc}^{-3} \rm{Myr}^{-1}$ for populations of coalescing binary BH systems with average chirp masses of $\sim 15M_{\odot}$ which are predicted by recent studies of BH-Wolf-Rayet star systems. While this scenario is at the high end of theoretical estimates, cross-correlation of data by two Einstein Telescopes could detect this signal under the condition $r_0 \geq 10^{-3} \rm{Mpc}^{-3} \rm{Myr}^{-1}$. Such a signal could potentially mask a primordial GW background signal of dimensionless energy density, $\Omega_{\rm{GW}}\sim 10^{-10}$, around the (1--500) Hz frequency range.

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Gravitational wave background as a probe of the primordial black hole   abundance

Published Paper #: 357

Authors:, Ryo Saito, Jun'ichi Yokoyama,

Journal: Phys.Rev.Lett.102:161101,2009

url: http://arxiv.org/pdf/0812.4339v2.pdf

Abstract: Formation of significant number of primordial black holes (PBHs) is realized if and only if primordial density fluctuations have a large amplitude, which means that tensor perturbations generated from these scalar perturbations as a second order effect are also large and comparable to the observational data. We show that pulsar timing observation could find/rule out PBHs with \sim 10^2 M_solar which are considered as a candidate of intermediate-mass black holes and that PBHs with mass range 10^{20-26} g, which serves as a candidate of dark matter, may be probed by future space-based laser interferometers and atomic interferometers.

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Gravitational-Wave Constraints on the Abundance of Primordial Black   Holes

Published Paper #: 356

Authors:, Ryo Saito, Jun'ichi Yokoyama,

Journal: Prog.Theor.Phys.123:867-886,2010

url: http://arxiv.org/pdf/0912.5317v2.pdf

Abstract: We investigate features of Gravitational Waves (GWs) induced by primordial density fluctuations with a large amplitude peak associated with formation of Primordial Black Holes (PBHs). It is shown that the spectrum of induced GW is insensitive to the width of the peak in wavenumber space provided it is below a certain value, but the amplitude of the spectrum reduces at the peak frequency and decreases faster at low frequencies for a larger width. A correspondence between the GW amplitude and PBH abundance is also investigated incorporating the peak width. We find that PBHs with masses 10^{20-26}g can be probed by space-based laser interferometers and atomic interferometers irrespective of whether the peak width is small or not. Further we obtain constraints on the abundance of the supermassive PBHs by comparing a low frequency tail of the GW spectrum with CMB observations.

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Separate Universes Do Not Constrain Primordial Black Hole Formation

Published Paper #: 355

Authors:, Michael Kopp, Stefan Hofmann, Jochen Weller,

Journal: Phys.Rev.D83:124025,2011

url: http://arxiv.org/pdf/1012.4369v2.pdf

Abstract: Carr and Hawking showed that the proper size of a spherical overdense region surrounded by a flat FRW universe cannot be arbitrarily large as otherwise the region would close up on itself and become a separate universe. From this result they derived a condition connecting size and density of the overdense region ensuring that it is part of our universe. Carr used this condition to obtain an upper bound for the density fluctuation amplitude with the property that for smaller amplitudes the formation of a primordial black hole is possible, while larger ones indicate a separate universe. In contrast, we find that the appearance of a maximum is not a consequence of avoiding separate universes but arises naturally from the geometry of the chosen slicing. Using instead of density a volume fluctuation variable reveals that a fluctuation is a separate universe iff this variable diverges on superhorizon scales. Hence Carr's and Hawking's condition does not pose a physical constraint on density fluctuations. The dynamics of primordial black hole formation with an initial curvature fluctuation amplitude larger than the one corresponding to the maximum density fluctuation amplitude was previously not considered in detail and so we compare it to the well-known case where the amplitude is smaller by presenting embedding and conformal diagrams of both types in dust spacetimes.

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Relic gravitational waves from light primordial black holes

Published Paper #: 354

Authors:, Alexander D. Dolgov, Damian Ejlli,

Journal: Phys.Rev.D84:024028,2011

url: http://arxiv.org/pdf/1105.2303v3.pdf

Abstract: The energy density of relic gravitational waves (GWs) emitted by primordial black holes (PBHs) is calculated. We estimate the intensity of GWs produced at quantum and classical scattering of PBHs, the classical graviton emission from the PBH binaries in the early Universe, and the graviton emission due to PBH evaporation. If nonrelativistic PBHs dominated the cosmological energy density prior to their evaporation, the probability of formation of dense clusters of PBHs and their binaries in such clusters would be significant and the energy density of the generated gravitational waves in the present day universe could exceed that produced by other known mechanisms. The intensity of these gravitational waves would be maximal in the GHz frequency band of the spectrum or higher and makes their observation very difficult by present detectors but also gives a rather good possibility to investigate it by present and future high frequency gravitational waves electromagnetic detectors. However, the low frequency part of the spectrum in the range $f\sim 0.1-10$ Hz may be detectable by the planned space interferometers DECIGO/BBO. For sufficiently long duration of the PBH matter dominated stage the cosmological energy fraction of GWs from inflation would be noticeably diluted.

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Phantom energy accretion and primordial black holes evolution in   Brans-Dicke theory

Published Paper #: 353

Authors:, B. Nayak, L. P. Singh,

Journal: Eur. Phys. J. C 71, 1837 (2011)

url: http://arxiv.org/pdf/1106.2314v1.pdf

Abstract: In this work, we study the evolution of primordial black holes within the context of Brans-Dicke theory by considering the presence of a dark energy component with a super-negative equation of state called phantom energy as a background. Besides Hawking evaporation, here we consider two type of accretions - radiation accretion and phantom energy accretion. We found that radiation accretion increases the lifetime of primordial black holes whereas phantom accretion decreases the lifespan of primordial black holes. Investigating the competition between the radiation accretion and phantom accretion, we got that there is an instant during the matter-dominated era beyond which phantom accretion dominates radiation accretion. So the primordial black holes which are formed in the later part of radiation dominated era and in matter dominated era are evaporated at a quicker rate than the Hawking evaporation. But for presently evaporating primordial black holes, radiation accretion and Hawking evaporation terms are dominant over phantom accretion term and hence presently evaporating primordial black holes are not much affected by phantom accretion.

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Stochastic emergence of inflaton fluctuations in a SdS primordial   universe with large-scale repulsive gravity from a 5D vacuum

Published Paper #: 352

Authors:, Luz Marina Reyes, Jose Edgar Madriz Aguilar, Mauricio Bellini,

Journal: Eur.Phys.J.Plus 126:56,2011

url: http://arxiv.org/pdf/1005.1232v5.pdf

Abstract: We develop a stochastic approach to study scalar field fluctuations of the inflaton field in an early inflationary universe with a black-hole (BH), which is described by an effective 4D SdS metric. Considering a 5D Ricci-flat SdS static metric, we implement a planar coordinate transformation, in order to obtain a 5D cosmological metric, from which the effective 4D SdS metric can be induced on a 4D hypersurface. We found that at the end of inflation, the squared fluctuations of the inflaton field are not exactly scale independent and becomes sensitive with the mass of the BH.

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Evolution of Primordial Stars Powered by Dark Matter Annihilation up to   the Main-Sequence Stage

Published Paper #: 351

Authors:, Shingo Hirano, Hideyuki Umeda, Naoki Yoshida,

Journal: Astrophys.J.736:58-67,2011

url: http://arxiv.org/pdf/1105.1255v1.pdf

Abstract: Primordial stars formed in the early universe are thought to be hosted by compact dark matter (DM) halos. If DM consists of Weakly Interacting Massive Particles (WIMPs), such stars may be powered by DM annihilation during the early phases of their evolutions. We study the pre-main sequence evolutions of the primordial star using a detailed stellar evolution code under the assumption that the annihilation of adiabatically contracted WIMPs DM within the star provides a sufficient energy to sustain the stellar equilibrium. We follow the evolution of accreting stars using several gas mass accretion rates derived from cosmological simulations. We show that the stellar mass becomes very large, up to 900 - 1000 M_sun when the star reaches the main-sequence phase for a reasonable set of model parameters such as DM particle mass and the annihilation cross section. During the dark star phase, the star expands over a thousand solar-radii, while the surface temperature remains below 10^4 K. The energy generated by nuclear reactions is not dominant during this phase. We also study models with different gas mass accretion rates and the DM particle masses. All our models for different DM particle masses pass the dark star phase. The final mass of the dark stars is essentially unchanged for DM mass of m_DM <= 10 GeV. Gravitational collapse of the massive dark stars will leave massive black holes with mass as large as 1000 M_sun in the early universe.

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Preheating after Small-Field Inflation

Published Paper #: 350

Authors:, Philippe Brax, Jean-Francois Dufaux, Sophie Mariadassou,

Journal: Phys.Rev.D83:103510,2011

url: http://arxiv.org/pdf/1012.4656v2.pdf

Abstract: Whereas preheating after chaotic and hybrid inflation models has been abundantly studied in the literature, preheating in small field inflation models, where the curvature of the inflaton potential is negative during inflation, remains less explored. In these models, a tachyonic instability at the end of inflation leads to a succession of exponentially large increases and \emph{decreases} of the inflaton fluctuations as the inflaton condensate oscillates around the minimum of its potential. The net effect is a competition between low-momentum modes which grow and decrease significantly, and modes with higher momenta which grow less but also decrease less. We develop an analytical description of this process, which is analogous to the quantum mechanical problem of tunneling through a volcano-shaped potential. Depending on the parameters, preheating may be so efficient that it completes in less than one oscillation of the inflaton condensate. Preheating after small field inflation may also be followed by a long matter-dominated stage before the universe thermalizes, depending on the energy scale of inflation and the details of the inflaton interactions. Finally, another feature of these models is that the spectrum of the inflaton fluctuations at the end of preheating may be peaked around the Hubble scale. In fact, because preheating starts when the second slow-roll parameter $|\eta|$ becomes of order unity while the first slow-roll parameter $\epsilon$ is still much smaller than one, the universe is still inflating during preheating and the modes amplified by the initial tachyonic instability leave the Hubble radius. This may lead to an abundant production of primordial black holes and gravitational waves with frequencies today which are naturally small enough to fall into the range accessible by high-sensitivity interferometric experiments.

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H.E.S.S. observations of the globular clusters NGC 6388 and M 15 and   search for a Dark Matter signal

Published Paper #: 349

Authors:, HESS Collaboration, A. Abramowski, F. Acero, F. Aharonian, A. G. Akhperjanian, G. Anton, A. Balzer, A. Barnacka, U. Barres de Almeida, A. R. Bazer-Bachi, Y. Becherini, J. Becker, B. Behera, K. Bernlöhr, A. Bochow, C. Boisson, J. Bolmont, P. Bordas, V. Borrel, J. Brucker, F. Brun, P. Brun, T. Bulik, I. Büsching, S. Carrigan, S. Casanova, M. Cerruti, P. M. Chadwick, A. Charbonnier, R. C. G. Chaves, A. Cheesebrough, L. -M. Chounet, A. C. Clapson, G. Coignet, J. Conrad, M. Dalton, M. K. Daniel, I. D. Davids, B. Degrange, C. Deil, H. J. Dickinson, A. Djannati-Ataï, W. Domainko, L. O'C. Drury, F. Dubois, G. Dubus, J. Dyks, M. Dyrda, K. Egberts, P. Eger, P. Espigat, L. Fallon, C. Farnier, S. Fegan, F. Feinstein, M. V. Fernandes, A. Fiasson, G. Fontaine, A. Förster, M. Füßling, Y. A. Gallant, H. Gast, L. Gérard, D. Gerbig, B. Giebels, J. F. Glicenstein, B. Glück, P. Goret, D. Göring, S. Häffner, J. D. Hague, D. Hampf, M. Hauser, S. Heinz, G. Heinzelmann, G. Henri, G. Hermann, J. A. Hinton, A. Hoffmann, W. Hofmann, P. Hofverberg, M. Holler, D. Horns, A. Jacholkowska, O. C. de Jager, C. Jahn, M. Jamrozy, I. Jung, M. A. Kastendieck, K. Katarzynski, U. Katz, S. Kaufmann, D. Keogh, D. Khangulyan, B. Khélifi, D. Klochkov, W. Kluzniak, T. Kneiske, Nu. Komin, K. Kosack, R. Kossakowski, H. Laffon, G. Lamanna, D. Lennarz, T. Löhse, A. Lopatin, C. -C. Lu, V. Marandon, A. Marcowith, J. Masbou, D. Maurin, N. Maxted, T. J. L. McComb, M. C. Medina, J. Méhault, R. Moderski, E. Moulin, C. L. Naumann, M. Naumann-Godo, M. de Naurois, D. Nedbal, D. Nekrassov, N. Nguyen, B. Nicholas, J. Niemiec, S. J. Nolan, S. Ohm, J-P. Olive, E. de Oña Wilhelmi, B. Opitz, M. Ostrowski, M. Panter, M. Paz Arribas, G. Pedaletti, G. Pelletier, P. -O. Petrucci, S. Pita, G. Pühlhofer, M. Punch, A. Quirrenbach, M. Raue, S. M. Rayner, A. Reimer, O. Reimer, M. Renaud, R. de los Reyes, F. Rieger, J. Ripken, L. Rob, S. Rosier-Lees, G. Rowell, B. Rudak, C. B. Rulten, J. Ruppel, F. Ryde, V. Sahakian, A. Santangelo, R. Schlickeiser, F. M. Schöck, A. Schulz, U. Schwanke, S. Schwarzburg, S. Schwemmer, M. Sikora, J. L. Skilton, H. Sol, G. Spengle, L. Stawarz, R. Steenkamp, C. Stegmann, F. Stinzing, K. Stycz, I. Sushch, A. Szostek, J. -P. Tavernet, R. Terrier, O. Tibolla3, M. Tluczykont, K. Valerius, C. van Eldik, G. Vasileiadis, C. Venter, J. P. Vialle, A. Viana, P. Vincent, M. Vivier, H. J. Völk, F. Volpe, S. Vorobiov, M. Vorster, S. J. Wagner, M. Ward, A. Wierzcholska, M. Zacharias, A. Zajczyk, A. A. Zdziarski, A. Zech, H. -S. Zechlin,

Journal: Astrophys. J. 735, 12 (2011)

url: http://arxiv.org/pdf/1104.2548v1.pdf

Abstract: Observations of the globular clusters NGC 6388 and M 15 were carried out by the H.E.S.S. array of Cherenkov telescopes for a live time of 27.2 and 15.2 hours respectively. No gamma-ray signal is found at the nominal target position of NGC 6388 and M 15. In the primordial formation scenario, globular clusters are formed in a dark matter halo and dark matter could still be present in the baryon-dominated environment of globular clusters. This opens the possibility of observing a dark matter self-annihilation signal. The dark matter content of the globular clusters NGC 6388 and M 15 is modelled taking into account the astrophysical processes that can be expected to influence the dark matter distribution during the evolution of the globular cluster: the adiabatic contraction of dark matter by baryons, the adiabatic growth of a black hole in the dark matter halo and the kinetic heating of dark matter by stars. 95% confidence level exclusion limits on the dark matter particle velocity-weighted annihilation cross section are derived for these dark matter haloes. In the TeV range, the limits on the velocity-weighted annihilation cross section are derived at the 10-25 cm3 s-1 level and a few 10-24 cm3 s-1 for NGC 6388 and M 15 respectively.

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Running-Mass Inflation Model and Primordial Black Holes

Published Paper #: 348

Authors:, Manuel Drees, Encieh Erfani,

Journal: JCAP 1104:005,2011

url: http://arxiv.org/pdf/1102.2340v3.pdf

Abstract: We revisit the question whether the running-mass inflation model allows the formation of Primordial Black Holes (PBHs) that are sufficiently long-lived to serve as candidates for Dark Matter. We incorporate recent cosmological data, including the WMAP 7-year results. Moreover, we include "the running of the running" of the spectral index of the power spectrum, as well as the renormalization group "running of the running" of the inflaton mass term. Our analysis indicates that formation of sufficiently heavy, and hence long-lived, PBHs still remains possible in this scenario. As a by-product, we show that the additional term in the inflaton potential still does not allow significant negative running of the spectral index.

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Scalar cosmological perturbations from inflationary black holes

Published Paper #: 347

Authors:, Tomislav Prokopec, Paul Reska,

Journal: JCAP 1103:050,2011

url: http://arxiv.org/pdf/1007.3851v2.pdf

Abstract: We study the correction to the scale invariant power spectrum of a scalar field on de Sitter space from small black holes that formed during a pre-inflationary matter dominated era. The formation probability of such black holes is estimated from primordial Gaussian density fluctuations. We determine the correction to the spectrum by first deriving the Keldysh propagator for a massless scalar field on Schwarzschild-de Sitter space. Our results suggest that the effect is strong enough to be tested -- and possibly even ruled out -- by observations.

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Constraints on the induced gravitational wave background from primordial   black holes

Published Paper #: 346

Authors:, Edgar Bugaev, Peter Klimai,

Journal: Phys.Rev.D83:083521,2011

url: http://arxiv.org/pdf/1012.4697v2.pdf

Abstract: We perform a consistent calculation of primordial black hole (PBH) mass spectrum and second-order induced gravitational wave (GW) background produced from primordial scalar perturbations in radiation era of the early Universe. It is shown that the maximal amplitudes of the second order GW spectrum that can be approached without conflicting with the PBH data do not depend significantly on the shape of primordial perturbation spectrum. The constraints on the GW background obtained in previous works are extended to a wider GW frequency range. We discuss the applicability of the currently available pulsar timing limits for obtaining the constraints on scalar power spectrum and PBH abundance and show that they can be used for strongly constraining the PBH number density in the PBH mass range $\sim (0.03 - 10) M_{\odot}$.

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Accretion, Primordial Black Holes and Standard Cosmology

Published Paper #: 345

Authors:, Bibekananda Nayak, Lambodar Prasad Singh,

Journal: Pramana 76:173-181,2011

url: http://arxiv.org/pdf/0905.3243v2.pdf

Abstract: Primordial Black Holes evaporate due to Hawking radiation. We find that the evaporation time of primordial black holes increase when accretion of radiation is included.Thus depending on accretion efficiency more and more number of primordial black holes are existing today, which strengthens the idea that the primordial black holes are the proper candidate for dark matter.

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Note on nonstationarity and accretion of Primordial Black Holes in   Brans-Dicke theory

Published Paper #: 344

Authors:, Bibekananda Nayak, Lambodar Prasad Singh,

Journal: Phys.Rev.D82:127301,2010

url: http://arxiv.org/pdf/1005.1529v3.pdf

Abstract: We consider the evolution of primordial black holes by including non-stationarity in their formation process and accretion of radiation in Brans-Dicke theory. Specifically, we focus on how $\eta$, the fraction of the horizon mass the black hole comprises capturing nonstationarity, affects the lifetimes of these primordial black holes. Our calculation reveals that the primordial black hole dynamics is controlled by the product $f\eta$ where $f$ is the accretion efficiency. We also estimate the impact of $\eta$ through $f\eta$ on the primordial black holes' initial mass fraction constraint obtained from the $\gamma$-ray background limit.

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The Cosmological QCD Phase Transition Revisited

Published Paper #: 343

Authors:, Simon Schettler, Tillmann Boeckel, Jurgen Schaffner-Bielich,

Journal: Prog.Part.Nucl.Phys.66:266-270,2011

url: http://arxiv.org/pdf/1012.3342v2.pdf

Abstract: The QCD phase diagram might exhibit a first order phase transition for large baryochemical potentials. We explore the cosmological implications of such a QCD phase transition in the early universe. We propose that the large baryon-asymmetry is diluted by a little inflation where the universe is trapped in a false vacuum state of QCD. The little inflation is stopped by bubble nucleation which leads to primordial production of the seeds of extragalactic magnetic fields, primordial black holes and gravitational waves. In addition the power spectrum of cold dark matter can be affected up to mass scales of a billion solar masses. The imprints of the cosmological QCD phase transition on the gravitational wave background can be explored with the future gravitational wave detectors LISA and BBO and with pulsar timing.

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Density perturbations in braneworld cosmology and primordial black holes

Published Paper #: 342

Authors:, Edgar Bugaev, Peter Klimai,

Journal: Phys.Rev.D83:023516,2011

url: http://arxiv.org/pdf/1012.1199v1.pdf

Abstract: We study, by numerical methods, the time evolution of scalar perturbations in radiation era of Randall-Sundrum braneworld cosmology. Our results confirm an existence of the enhancement of perturbation amplitudes (near horizon crossing), discovered recently. We suggest the approximate solution of equations of the perturbation theory in the high energy regime, which predicts that the enhancement factor is asymptotically constant, as a function of scale. We discuss the application of this result for the problem of primordial black hole production in braneworld cosmology.

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Constant surface gravity and density profile of dark matter

Published Paper #: 341

Authors:, H. J. de Vega, N. G. Sanchez,

Journal: Int.J.Mod.Phys.A26:1057-1072,2011

url: http://arxiv.org/pdf/0907.0006v4.pdf

Abstract: Cumulative observational evidence confirm that the surface gravity of dark matter (DM) halo mu_{0 D} = r_0 rho_0 where r_0 and rho_0 are the halo core radius and central density, respectively, is nearly constant and independent of galaxy luminosity for a high number of galactic systems (spirals, dwarf irregular and spheroidals, elliptics) spanning over 14 magnitudes in luminosity and of different Hubble types. Remarkably, its numerical value mu_{0 D} = 140 M_{sun}/pc^2 = (18.6 Mev)^3 is approximately the same (up to a factor of two) in all these systems. First, we present the physical consequences of the independence of mu_{0 D} on r_0: the energy scales as the volume sim r_0^3 while the mass and the entropy scale as the surface ~ r_0^2 and the surface times log r_0, respectively. Namely, the entropy scales similarly to the black-hole entropy but with a much smaller coefficient. Second, we compute the surface gravity and the density profile for small scales from first principles and the evolution of primordial density fluctuations since the end of inflation till today using the linearized Boltzmann-Vlasov equation. The density profile rho_{lin}(r) obtained in this way decreases as r^{-1-n_s/2} for intermediate scales where n_s = 0.964 is the primordial spectral index. This scaling is in remarkable agreement with the empirical behaviour found observationally and in N-body simulations: r^{-1.6\pm 0.4}. The observed value of mu_{0 D} indicates that the DM particle mass m is in the keV scale. The theoretically derived density profiles rho_{lin}(r) turn to be cored for m in the keV scale and they look as cusped for m in the GeV scale or beyond. We consider both fermions and bosons as DM particles decoupling either ultrarelativistically or non-relativistically. Our results do not use any particle physics model and vary slightly with the statistics of the DM particle.

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Primordial SdS universe from a 5D vacuum: scalar field fluctuations on   Schwarzschild and Hubble horizons

Published Paper #: 340

Authors:, Jose Edgar Madriz Aguilar, Mauricio Bellini,

Journal: JCAP 1011:020,2010

url: http://arxiv.org/pdf/1003.1105v4.pdf

Abstract: We study scalar field fluctuations of the inflaton field in an early inflationary universe on an effective 4D Schwarzschild-de Sitter (SdS) metric, which is obtained after make a planar coordinate transformation on a 5D Ricci-flat Schwarzschild-de Sitter (SdS) static metric. We obtain the important result that the spectrum of fluctuations at zeroth order is independent of the scalar field mass $M$ on Schwarzschild scales, while on cosmological scales it exhibits a mass dependence. However, in the first-order expansion, the spectrum depends of the inflaton mass and the amplitude is linear with the Black-Hole (BH) mass $m$.

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Higgs-induced spectroscopic shifts near strong gravity sources

Published Paper #: 339

Authors:, Roberto Onofrio,

Journal: Phys.Rev.D82:065008,2010

url: http://arxiv.org/pdf/1011.3064v1.pdf

Abstract: We explore the consequences of the mass generation due to the Higgs field in strong gravity astrophysical environments. The vacuum expectation value of the Higgs field is predicted to depend on the curvature of spacetime, potentially giving rise to peculiar spectroscopic shifts, named hereafter "Higgs shifts." Higgs shifts could be searched through dedicated multiwavelength and multispecies surveys with high spatial and spectral resolution near strong gravity sources such as Sagittarius A* or broad searches for signals due to primordial black holes. The possible absence of Higgs shifts in these surveys should provide limits to the coupling between the Higgs particle and the curvature of spacetime, a topic of interest for a recently proposed Higgs-driven inflationary model. We discuss some conceptual issues regarding the coexistence between the Higgs mechanism and gravity, especially for their different handling of fundamental and composite particles.

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Black Hole Remnants in the Early Universe

Published Paper #: 338

Authors:, Fabio Scardigli, Christine Gruber, Pisin Chen,

Journal: Phys.Rev.D83:063507,2011

url: http://arxiv.org/pdf/1009.0882v2.pdf

Abstract: We consider the production of primordial micro black holes (MBH) remnants in the early universe. These objects induce the universe to be in a matter-dominated era before the onset of inflation. Effects of such an epoch on the CMB power spectrum are discussed and computed both analytically and numerically. By comparison with the latest observational data from the WMAP collaboration, we find that our model is able to explain the quadrupole anomaly of the CMB power spectrum.

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Primordial Black Holes and a Large Hidden Sector

Published Paper #: 337

Authors:, Xavier Calmet,

Journal: Phys.Rev.D82:087501,2010

url: http://arxiv.org/pdf/1007.2919v2.pdf

Abstract: In this note we point out that primordial black holes could be much shorter lived than usually assumed if there is a large hidden sector of particles that only interacts gravitationally with the particles of the standard model. The observation of the explosion of one of these black holes would severely constrain the energy scale at which gravity becomes strong.

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Mechanism for the Suppression of Intermediate-Mass Black Holes

Published Paper #: 336

Authors:, V. I. Dokuchaev, Yu. N. Eroshenko, S. G. Rubin, D. A. Samarchenko,

Journal: Astronomy Letters, 36, 773 (2010); Pisma v Astronomicheskii
 Zhurnal, 36, 816 (2010)

url: http://arxiv.org/pdf/1010.5325v1.pdf

Abstract: A model for the formation of supermassive primordial black holes in galactic nuclei with the simultaneous suppression of the formation of intermediate-mass black holes is presented. A bimodal mass function for black holes formed through phase transitions in a model with a "Mexican hat" potential has been found. The classical motion of the phase of a complex scalar field during inflation has been taken into account. Possible observational manifestations of primordial black holes in galaxies and constraints on their number are discussed.

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Gamma-rays from ultracompact minihalos: potential constraints on the   primordial curvature perturbation

Published Paper #: 335

Authors:, Amandeep S. Josan, Anne M. Green,

Journal: Phys.Rev.D82:083527,2010

url: http://arxiv.org/pdf/1006.4970v2.pdf

Abstract: Ultracompact minihalos (UCMHs) are dense dark matter structures which can form from large density perturbations shortly after matter-radiation equality. If dark matter is in the form of Weakly Interacting Massive Particles (WIMPs), then UCMHs may be detected via their gamma-ray emission. We investigate how the {\em{Fermi}} satellite could constrain the abundance of UCMHs and place limits on the power spectrum of the primordial curvature perturbation. Detection by {\em Fermi} would put a lower limit on the UCMH halo fraction. The smallest detectable halo fraction, $f_{\rm UCMH} \gtrsim 10^{-7}$, is for $M_{\rm UCMH} \sim 10^{3} M_{\odot}$. If gamma-ray emission from UCMHs is not detected, an upper limit can be placed on the halo fraction. The bound is tightest, $f_{\rm UCMH} \lesssim 10^{-5}$, for $M_{\rm UCMH} \sim 10^{5} M_{\odot}$. The resulting upper limit on the power spectrum of the primordial curvature perturbation in the event of non-detection is in the range $\mathcal{P_R} \lesssim 10^{-6.5}- 10^{-6}$ on scales $k \sim 10^{1}-10^{6} \, {\rm Mpc}^{-1}$. This is substantially tighter than the existing constraints from primordial black hole formation on these scales, however it assumes that dark matter is in the form of WIMPs and UCMHs are not disrupted during the formation of the Milky Way halo.

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Primordial Black Hole as a Source of the Boost Factor

Published Paper #: 334

Authors:, Ryo Saito, Satoshi Shirai,

Journal: Phys.Lett.B697:95-100,2011

url: http://arxiv.org/pdf/1009.1947v1.pdf

Abstract: Primordial black holes (PBHs) accumulate weakly interacting massive particles (WIMPs) around them and form ultracompact minihalos (UCMHs), if the WIMP is a dominant component of the dark matter (DM). In this paper, we discuss that the UCMHs seeded by the PBHs with sub-earth mass enhance the WIMP annihilation in the present Universe and can successfully explain the positron and/or electron excess in cosmic ray observed by PAMELA/Fermi experiments. The signal is very similar to that from a decaying dark matter, which can explain the PAMELA and/or Fermi anomaly without conflict with any constraints as long as the decay mode is proper. In this scenario, the boost factor can be as large as 10^5. In addition, we discuss testability of our scenario by gamma-ray point source and gravitational-wave experiments.

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Astrophysical constraints on primordial black holes in Brans-Dicke   theory

Published Paper #: 333

Authors:, B. Nayak, A. S. Majumdar, L. P. Singh,

Journal: JCAP 1008:039,2010

url: http://arxiv.org/pdf/1002.3472v3.pdf

Abstract: We consider cosmological evolution in Brans-Dicke theory with a population of primordial black holes. Hawking radiation from the primordial black holes impacts various astrophysical processes during the evolution of the Universe. The accretion of radiation by the black holes in the radiation dominated era may be effective in imparting them a longer lifetime. We present a detailed study of how this affects various standard astrophysical constraints coming from the evaporation of primordial black holes. We analyze constraints from the present density of the Universe, the present photon spectrum, the distortion of the cosmic microwave background spectrum and also from processes affecting light element abundances after nucleosynthesis. We find that the constraints on the initial primordial black hole mass fractions are tightened with increased accretion efficiency.

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An update on single field models of inflation in light of WMAP7

Published Paper #: 332

Authors:, Laila Alabidi, Ian Huston,

Journal: JCAP 1008:037,2010

url: http://arxiv.org/pdf/1004.4794v3.pdf

Abstract: In this paper we summarise the status of single field models of inflation in light of the WMAP 7 data release. We find little has changed since the 5 year release, and results are consistent with previous findings. The increase in the upper bound on the running of the spectral index impacts on the status of the production of Primordial Black Holes from single field models. The lower bound on the equilateral configuration of the non-gaussianity parameter is reduced and thus the bounds on the theoretical parameters of (UV) DBI single brane models are weakened. In the case of multiple coincident branes the bounds are also weakened and the two, three or four brane cases will produce a tensor-signal that could possibly be observed in the future.

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Constraints from primordial black hole formation at the end of inflation

Published Paper #: 331

Authors:, Amandeep S. Josan, Anne M. Green,

Journal: Phys.Rev.D82:047303,2010

url: http://arxiv.org/pdf/1004.5347v3.pdf

Abstract: Primordial black hole (PBH) abundance limits constrain the primordial power spectrum, and hence models of inflation, on scales far smaller than those probed by cosmological observations. Single field inflation models which are compatible with all cosmological data can have large enough perturbations on small scales to overproduce PBHs, and hence be excluded. The standard formulae for the amplitude of perturbations do not hold for modes that exit the horizon close to the end of inflation however. We use a modified flow analysis to identify models of inflation where the amplitude of perturbations on small scales is large. For these models we then carry out a numerical evolution of the perturbations and use the PBH constraints on the power spectrum to eliminate models which overproduce PBHs. Significant PBH formation can occur in models in which inflation can continue indefinitely and is ended via a secondary mechanism. We demonstrate that PBHs constrain these types of inflation models and show that a numerical evaluation of the power spectrum decreases the number of otherwise viable models of inflation.

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Primordial Black Holes as Dark Matter: Almost All or Almost Nothing

Published Paper #: 330

Authors:, Brian C. Lacki, John F. Beacom,

Journal: Astrophysical Journal Letters 720 (2010) L67-L71

url: http://arxiv.org/pdf/1003.3466v3.pdf

Abstract: Primordial black holes (PBHs) are expected to accrete particle dark matter around them to form ultracompact minihalos (UCMHs), if the PBHs themselves are not most of the dark matter. We show that if most dark matter is a thermal relic, then the inner regions of UCMHs around PBHs are highly luminous sources of annihilation products. Flux constraints on gamma rays and neutrinos set strong abundance limits, improving previous limits by orders of magnitude. Assuming enough particle dark matter exists to form UCMHs, we find that Omega_PBH <~ 10^-4 (for m_DM c^2 ~ 100 GeV) for a vast range in PBH mass. We briefly discuss the uncertainties on our limits, including those due to the evolution of the UCMH luminosity as it annihilates.

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Test particle motion in the space-time of a Kerr black hole pierced by a   cosmic string

Published Paper #: 329

Authors:, Eva Hackmann, Betti Hartmann, Claus Laemmerzahl, Parinya Sirimachan,

Journal: Phys.Rev.D82:044024,2010

url: http://arxiv.org/pdf/1006.1761v1.pdf

Abstract: We study the geodesic equation in the space-time of a Kerr black hole pierced by an infinitely thin cosmic string and give the complete set of analytical solutions of this equation for massive and massless particles in terms of Mino time that allows to decouple the r- and theta-component of the geodesic equation. The solutions of the geodesic equation can be classified according to the particle's energy and angular momentum, the mass and angular momentum per mass of the black hole. We give examples of orbits showing the influence of the cosmic string. We also discuss the perihelion shift and the Lense-Thirring effect for bound orbits and show that the presence of a cosmic string enhances both effects. Comparing our results with experimental data from the LAGEOS satellites we find an upper bound on the energy per unit length of a string piercing the earth which is approximately 10^{16} kg/m. Our work has also applications to the recently suggested explanation of the alignment of the polarization vector of quasars using remnants of cosmic string decay in the form of primordial magnetic field loops.

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Formation of the seed black holes: a role of quark nuggets?

Published Paper #: 328

Authors:, Xiaoyu Lai, Renxin Xu,

Journal: JCAP 1005:028,2010

url: http://arxiv.org/pdf/0911.4777v4.pdf

Abstract: Strange quark nuggets (SQNs) could be the relics of the cosmological QCD phase transition, and they could very likely be the candidate of cold quark matter if survived the cooling of the later Universe, although the formation and evolution of these SQNs depend on the physical state of the hot QGP (quark-gluon plasma) phase and the state of cold quark matter. We reconsider the possibility of SQNs as cold dark matter, and find that the formation of black holes in primordial halos could be significantly different from the standard scenario. In a primordial halo, the collision between gas and SQNs could be frequent enough, and thus the viscosity acting on each SQN would decrease its angular momentum and make it to sink into the center of the halo, as well as heat the gas. The SQNs with baryon numbers less than $10^{35}$ could assemble in the center of the halo before the formation of primordial stars. A black hole could form by merger of these SQNs, and then its mass could quickly become about $10^3\ M_\odot$ or higher, by accreting the surrounding SQNs or gas. The black holes formed in this way could be the seeds for the supermassive black holes at redshift as high as $z\sim 6$.

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Relativistic Images in Randall-Sundrum II Braneworld Lensing

Published Paper #: 327

Authors:, Amitai Y. Bin-Nun,

Journal: Phys.Rev.D81:123011,2010

url: http://arxiv.org/pdf/0912.2081v2.pdf

Abstract: In this paper, we explore the properties of gravitational lensing by black holes in the Randall-Sundrum II braneworld. We use numerical techniques to calculate lensing observables using the Tidal Reissner-Nordstrom (TRN) and Garriga-Tanaka metrics to examine supermassive black holes and primordial black holes. We introduce a new way tp parameterize tidal charge in the TRN metric which results in a large increase in image magnifications for braneworld primordial black holes compared to their 4 dimensional analogues. Finally, we offer a mathematical analysis that allows us to analyze the validity of the logarithmic approximation of the bending angle for any static, spherically symmetric metric. We apply this to the TRN metric and show that it is valid for any amount of tidal charge.

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New cosmological constraints on primordial black holes

Published Paper #: 326

Authors:, B. J. Carr, Kazunori Kohri, Yuuiti Sendouda, Jun'ichi Yokoyama,

Journal: Phys.Rev.D81:104019,2010

url: http://arxiv.org/pdf/0912.5297v2.pdf

Abstract: We update the constraints on the fraction of the Universe going into primordial black holes in the mass range 10^9--10^17 g associated with the effects of their evaporations on big bang nucleosynthesis and the extragalactic photon background. We include for the first time all the effects of quark and gluon emission by black holes on these constraints and account for the latest observational developments. We then discuss the other constraints in this mass range and show that these are weaker than the nucleosynthesis and photon background limits, apart from a small range 10^13--10^14 g, where the damping of cosmic microwave background anisotropies dominates. Finally we review the gravitational and astrophysical effects of nonevaporating primordial black holes, updating constraints over the broader mass range 1--10^50 g.

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Thermal Gravitational Waves from Primordial Black Holes

Published Paper #: 325

Authors:, C. Sivaram, Kenath Arun,

Journal: The Open Astronomy Journal, 2011, 4, (Suppl 1-M3) 72-74

url: http://arxiv.org/pdf/1005.3431v1.pdf

Abstract: Thermal gravitational waves can be generated in various sources such as, in the cores of stars, white dwarfs and neutron stars due to the fermion collisions in the dense degenerate Fermi gas. Such high frequency thermal gravitational waves can also be produced during the collisions in a gamma ray burst or during the final stages of the evaporation of primordial black holes. Here we estimate the thermal gravitational waves from primordial black holes and estimate the integrated energy of the gravitational wave emission over the entire volume of the universe and over Hubble time. We also estimate the gravitational wave flux from gamma ray bursts and jets.

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Astrophysical structures from primordial quantum black holes

Published Paper #: 324

Authors:, S. Capozziello, G. Cristofano, M. De Laurentis,

Journal: Eur.Phys.J.C69:293-303,2010

url: http://arxiv.org/pdf/1005.2891v1.pdf

Abstract: The characteristic sizes of astrophysical structures, up to the whole observed Universe, can be recovered, in principle, assuming that gravity is the overall interaction assembling systems starting from microscopic scales, whose order of magnitude is ruled by the Planck length and the related Compton wavelength. This result agrees with the absence of screening mechanisms for the gravitational interaction and could be connected to the presence of Yukawa corrections in the Newtonian potential which introduce typical interaction lengths. This result directly comes out from quantization of primordial black holes and then characteristic interaction lengths directly emerge from quantum field theory.

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Superdense cosmological dark matter clumps

Published Paper #: 323

Authors:, V. Berezinsky, V. Dokuchaev, Yu. Eroshenko, M. Kachelriess, M. Aa. Solberg,

Journal: Phys.Rev.D81:103529,2010

url: http://arxiv.org/pdf/1002.3444v2.pdf

Abstract: The formation and evolution of superdense clumps (or subhalos) is studied. Such clumps of dark matter (DM) can be produced by many mechanisms, most notably by spiky features in the spectrum of inflationary perturbations and by cosmological phase transitions. Being produced very early during the radiation dominated epoch, superdense clumps evolve as isolated objects. They do not belong to hierarchical structures for a long time after production, and therefore they are not destroyed by tidal interactions during the formation of larger structures. For DM particles with masses close to the electroweak (EW) mass scale, superdense clumps evolve towards a power-law density profile $\rho(r) \propto r^{-1.8}$ with a central core. Superdense clumps cannot be composed of standard neutralinos, since their annihilations would overproduce the diffuse gamma radiation. If the clumps are constituted of superheavy DM particles and develop a sufficiently large central density, the evolution of their central part can lead to a 'gravithermal catastrophe.' In such a case, the initial density profile turns into an isothermal profile with $\rho \propto r^{-2}$ and a new, much smaller core in the center. Superdense clumps can be bserved by gamma radiation from DM annihilations and by gravitational wave detectors, while the production of primordial black holes and cascade nucleosynthesis constrain this scenario.

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Quantization of Black Holes

Published Paper #: 322

Authors:, Xiao-Gang He, Bo-Qiang Ma,

Journal: Mod. Phys. Lett. A 26 (2011) 2299-2304

url: http://arxiv.org/pdf/1003.2510v3.pdf

Abstract: We show that black holes can be quantized in an intuitive and elegant way with results in agreement with conventional knowledge of black holes by using Bohr's idea of quantizing the motion of an electron inside the atom in quantum mechanics. We find that properties of black holes can be also derived from an Ansatz of quantized entropy $\Delta S=4\pi k {\Delta R / \lambdabar}$, which was suggested in a previous work to unify the black hole entropy formula and Verlinde's conjecture to explain gravity as an entropic force. Such an Ansatz also explains gravity as an entropic force from quantum effect. This suggests a way to unify gravity with quantum theory. Several interesting and surprising results of black holes are given from which we predict the existence of primordial black holes ranging from Planck scale both in size and energy to big ones in size but with low energy behaviors.

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Gravitational Wave Bursts from Collisions of Primordial Black Holes in   Clusters

Published Paper #: 321

Authors:, V. I. Dokuchaev, Yu. N. Eroshenko, S. G. Rubin,

Journal: Astronomy Letters, 2009, Vol. 35, No. 3, pp. 143-149.

url: http://arxiv.org/pdf/1003.4158v1.pdf

Abstract: The rate of gravitational wave bursts from the mergers of massive primordial black holes in clusters is calculated. Such clusters of black holes can be formed through phase transitions in the early Universe. The central black holes in clusters can serve as the seeds of supermassive black holes in galactic nuclei. The expected burst detection rate by the LISA gravitational wave detector is estimated.

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Collapse of Small-Scale Density Perturbations during Preheating in   Single Field Inflation

Published Paper #: 320

Authors:, Karsten Jedamzik, Martin Lemoine, Jerome Martin,

Journal: JCAP 1009:034,2010

url: http://arxiv.org/pdf/1002.3039v1.pdf

Abstract: After cosmic inflation and before the transition to radiation domination, the cosmic energy density may have been dominated during an extended period by an oscillating massive scalar condensate. We show that during this period, sub-Hubble scale perturbations are subject to a metric preheating instability in the narrow resonance regime. We analyze in detail both, quadratic and quartic potentials. The instability leads to the growth of density perturbations which in many cases become non-linear already before the beginning of a radiation dominated Universe. This is particularly the case when requiring a phenomenologically preferred low reheat temperature. These early structures may lead to the emission of gravitational waves and the production of primordial black holes. Furthermore, it is not clear if they could modify the prediction of linear curvature perturbations on very large scales.

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String Necklaces and Primordial Black Holes from Type IIB Strings

Published Paper #: 319

Authors:, Matthew Lake, Steven Thomas, John Ward,

Journal: JHEP 0912:033,2009

url: http://arxiv.org/pdf/0906.3695v2.pdf

Abstract: We consider a model of static cosmic string loops in type IIB string theory, where the strings wrap cycles within the internal space. The strings are not topologically stabilised, however the presence of a lifting potential traps the windings giving rise to kinky cycloops. We find that PBH formation occurs at early times in a small window, whilst at late times we observe the formation of dark matter relics in the scaling regime. This is in stark contrast to previous predictions based on field theoretic models. We also consider the PBH contribution to the mass density of the universe, and use the experimental data to impose bounds on the string theory parameters.

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Quasi-evaporating black holes and cold dark matter

Published Paper #: 318

Authors:, Julien Larena, Tony Rothman,

Journal: Astrophys.Space Sci.327:71-76,2010

url: http://arxiv.org/pdf/0911.2368v3.pdf

Abstract: Vilkovisky has claimed to have solved the black hole backreaction problem and finds that black holes lose only ten percent of their mass to Hawking radiation before evaporation ceases. We examine the implications of this scenario for cold dark matter, assuming that primordial black holes are created during the reheating period after inflation. The mass spectrum is expected to be dominated by 10-gram black holes. Nucleosynthesis constraints and the requirement that the earth presently exist do not come close to ruling out such black holes as dark matter candidates. They also evade the demand that the photon density produced by evaporating primordial black holes does not exceed the present cosmic radiation background by a factor of about one thousand.

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New SETI Sky Surveys for Radio Pulses

Published Paper #: 317

Authors:, Andrew Siemion, Joshua Von Korff, Peter McMahon, Eric Korpela, Dan Werthimer, David Anderson, Geoff Bower, Jeff Cobb, Griffin Foster, Matt Lebofsky, Joeri van Leeuwen, Mark Wagner,

Journal: Acta Astronaut.67:1342-1349,2010

url: http://arxiv.org/pdf/0811.3046v2.pdf

Abstract: Berkeley conducts 7 SETI programs at IR, visible and radio wavelengths. Here we review two of the newest efforts, Astropulse and Fly's Eye.   A variety of possible sources of microsecond to millisecond radio pulses have been suggested in the last several decades, among them such exotic events as evaporating primordial black holes, hyper-flares from neutron stars, emissions from cosmic strings or perhaps extraterrestrial civilizations, but to-date few searches have been conducted capable of detecting them.   We are carrying out two searches in hopes of finding and characterizing these mu-s to ms time scale dispersed radio pulses. These two observing programs are orthogonal in search space; the Allen Telescope Array's (ATA) "Fly's Eye" experiment observes a 100 square degree field by pointing each 6m ATA antenna in a different direction; by contrast, the Astropulse sky survey at Arecibo is extremely sensitive but has 1/3,000 of the instantaneous sky coverage. Astropulse's multibeam data is transferred via the internet to the computers of millions of volunteers. These computers perform a coherent de-dispersion analysis faster than the fastest available supercomputers and allow us to resolve pulses as short as 400 ns. Overall, the Astropulse survey will be 30 times more sensitive than the best previous searches. Analysis of results from Astropulse is at a very early stage.   The Fly's Eye was successfully installed at the ATA in December of 2007, and to-date approximately 450 hours of observation has been performed. We have detected three pulsars and six giant pulses from the Crab pulsar in our diagnostic pointing data. We have not yet detected any other convincing bursts of astronomical origin in our survey data. (Abridged)

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Boosted perturbations at the end of inflation

Published Paper #: 316

Authors:, Ignacio Zaballa, Misao Sasaki,

Journal: JCAP 1003:002,2010

url: http://arxiv.org/pdf/0911.2069v2.pdf

Abstract: We study the effect on the primordial cosmological perturbations of a sharp transition from inflationary to a radiation and matter dominated epoch respectively. We assume that the perturbations are generated by the vacuum fluctuations of a scalar field slowly rolling down its potential, and that the transition into the subsequent epoch takes place much faster than a Hubble time. The behaviour of the superhorizon perturbations corresponding to cosmological scales in this case is well known. However, it is not clear how perturbations on scales of and smaller than the Hubble horizon scale at the end of inflation may evolve through such a transition. We derive the evolution equation for the gravitational potential $\Psi$, which allows us to study the evolution of the perturbations on all scales under these circumstances. We show that for a certain range of scales inside the horizon at the end of inflation, the amplitude of the perturbations are enhanced relative to the superhorizon scales. This enhancement may lead to the overproduction of Primordial Black Holes (PBHs), and therefore constrain the dynamics of the transitions that take place at the end of inflation.

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Fluctuations of Quantum Fields in a Classical Background and Reheating

Published Paper #: 315

Authors:, Ali Kaya,

Journal: Phys.Rev.D81:023521,2010

url: http://arxiv.org/pdf/0909.2712v3.pdf

Abstract: We consider the particle creation process associated with a quantum field \chi in a time-dependent, homogeneous and isotropic, classical background. It is shown that the field square \chi^2, the energy density and the pressure of the created particles have large fluctuations comparable to their vacuum expectation values. Possible effects of these fluctuations on the reheating process after inflation are discussed. After determining the correlation length of the fluctuations in two different models, corresponding to the decay in the parametric resonance regime and in the perturbation theory, it is found that these fluctuations should be taken into account in the final thermalization process, in the back-reaction effects and when the formation of primordial black holes is considered. In both models, by comparing quantum and thermal fluctuations with each other it is observed that very quick thermalization after the complete inflaton decay is not always possible even when the interaction rates are large. On the other hand, when the back-reaction effects are included during the preheating stage, the coherence of the inflaton oscillations is shown to be lost because of the fluctuations in \chi^2. Finally, we note that a large fluctuation in the energy density may cause a black hole to form and we determine the fraction of total energy density that goes into such primordial black holes in the model of preheating we consider.

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Induced gravitational wave background and primordial black holes

Published Paper #: 314

Authors:, Edgar Bugaev, Peter Klimai,

Journal: Phys.Rev.D81:023517,2010

url: http://arxiv.org/pdf/0908.0664v2.pdf

Abstract: We calculate the frequency dependence of gravitational wave background arising at second order of cosmological perturbation theory due to mixing of tensor and scalar modes. The calculation of the induced gravitational background is performed for two special cases: for the power spectrum of scalar perturbations which has a peak at some scale and for the scalar spectrum predicted by the inflationary model with the running mass potential. We show that the amplitudes of the induced gravitational background, in the frequency region $\sim 10^{-3} - 10^3 $Hz, are effectively constrained by results of studies of primordial black hole production in early universe. We argue that though today's LIGO bound on ${\cal P}_{\cal R}(k)$ is weaker than the PBH one, Advanced LIGO will be able to set a stronger bound, and in future the ground-based interferometers of LIGO type will be suitable for obtaining constraints on PBH number density in the mass range $\sim 10^{11} - 10^{15}$ g.

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Bound on induced gravitational wave background from primordial black   holes

Published Paper #: 313

Authors:, Edgar Bugaev, Peter Klimai,

Journal: JETP Lett.91:1-5,2010

url: http://arxiv.org/pdf/0911.0611v2.pdf

Abstract: The today's energy density of the induced (second order) gravitational wave background in the frequency region $\sim 10^{-3} - 10^3$ Hz is constrained using the existing limits on primordial black hole production in the early Universe. It is shown, in particular, that at frequencies near $\sim 40$ Hz (which is the region explored by LIGO detector), the value of the induced part of $\Omega_{GW}$ cannot exceed $(1-3)\times 10^{-7}$. The spread of values of the bound is caused by the uncertainty in parameters of the gravitational collapse of black holes.

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Primordial Black Holes in Phantom Cosmology

Published Paper #: 312

Authors:, Mubasher Jamil, Asghar Qadir,

Journal: Gen.Rel.Grav.43:1069-1082,2011

url: http://arxiv.org/pdf/0908.0444v3.pdf

Abstract: We investigate the effects of accretion of phantom energy onto primordial black holes. Since Hawking radiation and phantom energy accretion contribute to a {\it decrease} of the mass of the black hole, the primordial black hole that would be expected to decay now due to the Hawking process would decay {\it earlier} due to the inclusion of the phantom energy. Equivalently, to have the primordial black hole decay now it would have to be more massive initially. We find that the effect of the phantom energy is substantial and the black holes decaying now would be {\it much} more massive -- over 10 orders of magnitude! This effect will be relevant for determining the time of production and hence the number of evaporating black holes expected in a universe accelerating due to phantom energy.

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Slow Diffusive Gravitational Instability Before Decoupling

Published Paper #: 311

Authors:, Todd A. Thompson,

Journal: Astrophys.J.709:1119-1124,2010

url: http://arxiv.org/pdf/0911.3665v1.pdf

Abstract: Radiative diffusion damps acoustic modes at large comoving wavenumber (k) before decoupling (``Silk damping''). In a simple WKB analysis, neglecting moments of the temperature distribution beyond the quadrupole, damping appears in the acoustic mode as a term of order ik^2/(taudot) where taudot is the scattering rate per unit conformal time. Although the Jeans instability is stabilized on scales smaller than the adiabatic Jeans length, I show that the medium is linearly unstable to first order in (1/taudot) to a slow diffusive mode. At large comoving wavenumber, the characteristic growth rate becomes independent of spatial scale and constant: (t_{KH}a)^-1 ~ (128 pi G/9 kappa_T c)(rho_m/rho_b), where "a" is the scale factor, rho_m and rho_b are the matter and baryon energy density, respectively, and kappa_T is the Thomson opacity. This is the characteristic timescale for a fluid parcel to radiate away its thermal energy content at the Eddington limit, analogous to the Kelvin-Helmholz (KH) time for a massive star or the Salpeter time for black hole growth. Although this mode grows at all times prior to decoupling and on scales smaller than the horizon, the growth time is long, about 100 times the age of the universe at decoupling. Thus, it modifies the density and temperature perturbations on small scales only at the percent level. The physics of this mode is already accounted for in the popular codes CMBFAST and CAMB, but is typically neglected in analytic studies of the growth of primordial perturbations. This work clarifies the physics of this instability in the epoch before decoupling, and emphasizes that the universe is formally unstable on scales below the horizon, even in the limit of large taudot. Analogous instabilities at yet earlier epochs are also mentioned. (Abridged)

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Tidal disruption, global mass function and structural parameters   evolution in star clusters

Published Paper #: 310

Authors:, Michele Trenti, Enrico Vesperini, Mario Pasquato,

Journal: Astrophys.J.708:1598-1610,2010

url: http://arxiv.org/pdf/0911.3394v1.pdf

Abstract: [abridged] We present a unified picture for the evolution of star clusters on the two-body relaxation timescale. We use direct N-body simulations of star clusters in a galactic tidal field starting from different multi-mass King models, up to 10% of primordial binaries and up to Ntot=65536 particles. An additional run also includes a central Intermediate Mass Black Hole. We find that for the broad range of initial conditions we have studied the stellar mass function of these systems presents a universal evolution which depends only on the fractional mass loss. The structure of the system, as measured by the core to half mass radius ratio, also evolves toward a universal state, which is set by the efficiency of heating on the visible population of stars induced by dynamical interactions in the core of the system. Interactions with dark remnants are dominant over the heating induced by a moderate population of primordial binaries (3-5%), especially under the assumption that most of the neutron stars and black holes are retained in the system. All our models without primordial binaries undergo a deep gravothermal collapse in the radial mass profile. However their projected light distribution can be well fitted by medium concentration King models (with parameter W0 ~ 8), even though there tends to be an excess over the best fit for the innermost points of the surface brightness. This excess is consistent with a shallow cusp in the surface brightness (mu(R) ~ R^{-v} with v ~ 0.4-0.7), like it has been observed for many globular clusters from high-resolution HST imaging. Classification of core-collapsed globular clusters based on their surface brightness profile is likely to fail in systems that have already bounced back to lower concentrations.

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Accretion of nonminimally coupled scalar fields into black holes

Published Paper #: 309

Authors:, Manuela G. Rodrigues, Alberto Saa,

Journal: Phys.Rev.D80:104018,2009

url: http://arxiv.org/pdf/0909.3033v2.pdf

Abstract: By using a quasi-stationary approach, we consider the mass evolution of Schwarzschild black holes in the presence of a nonminimally coupled cosmological scalar field. The mass evolution equation is analytically solved for generic coupling, revealing a qualitatively distinct behavior from the minimal coupling case. In particular, for black hole masses smaller than a certain critical value, the accretion of the scalar field can lead to mass decreasing even if no phantom energy is involved. The physical validity of the adopted quasi-stationary approach and some implications of our result for the evolution of primordial and astrophysical black holes are discussed. More precisely, we argue that black hole observational data could be used to place constraints on the nonminimally coupled energy content of the universe.

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Primordial black holes and the observed Galactic 511 keV line

Published Paper #: 308

Authors:, Cosimo Bambi, Alexander D. Dolgov, Alexey A. Petrov,

Journal: Phys.Lett.B670:174-178,2008

url: http://arxiv.org/pdf/0801.2786v4.pdf

Abstract: The observed 511 keV line from the Galactic Bulge is a real challenge for theoretical astrophysics: despite a lot of suggested mechanisms, there is still no convincing explanation and the origin of the annihilated positrons remains unknown. Here we discuss the possibility that a population of slowly evaporating primordial black holes with the mass around $10^{16}-10^{17}$ g ejects (among other particles) low--energy positrons into the Galaxy. In addition to positrons, we have also calculated the spectrum and number density of photons and neutrinos produced by such black holes and found that the photons are potentially observable in the near future, while the neutrino flux is too weak and below the terrestrial and extra--terrestrial backgrounds. Depending on their mass distribution, such black holes could make a small fraction or the whole cosmological dark matter.

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Hawking radiation of unparticles

Published Paper #: 307

Authors:, De-Chang Dai, Dejan Stojkovic,

Journal: Phys.Rev.D80:064042,2009

url: http://arxiv.org/pdf/0812.3396v3.pdf

Abstract: Unparticle degrees of freedom, no matter how weakly coupled to the standard model particles, must affect the evolution of a black hole, which thermally decays into all available degrees of freedom. We develop a method for calculating the grey-body factors for scalar unparticles for 3+1 and higher dimensional black holes. We find that the power emitted in unparticles may be quite different from the power emitted in ordinary particles. Depending on the parameters in the model, unparticles may become the dominant channel. This is of special interest for small primordial black holes and also in models with low scale quantum gravity where the experimental signature may significantly be affected. We also discuss the sensitivity of the results on the (currently unknown) unparticle normalization.

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New Class of Dark Matter Objects and their Detection

Published Paper #: 306

Authors:, C Sivaram, Kenath Arun,

Journal: The Open Astronomy Journal, 4, pp. 57-63 (2011)

url: http://arxiv.org/pdf/0910.2306v1.pdf

Abstract: About one-fourth of the universe is thought to consist of dark matter. Yet there is no clear understanding about the nature of these particles. Commonly discussed dark matter candidates includes the so called WIMPs or weakly interacting massive particles with masses from about 10GeV to 1TeV. These particles can gravitate to form a new class of objects in dark matter halos or around the galactic centre. We study in some detail many properties of these objects; which are dark matter dominated and bound by their self gravity; their formation and possibilities of their detection. Implications of the presence of such objects for star formation are also discussed. These objects could provide the possibility of forming primordial black holes distinct from the usual Hawking black holes and they could also provide a scenario for short duration gamma ray bursts, avoiding the baryon load problem.

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Generating Primordial Black Holes Via Hilltop-Type Inflation Models

Published Paper #: 305

Authors:, Laila Alabidi, Kazunori Kohri,

Journal: Phys.Rev.D80:063511,2009

url: http://arxiv.org/pdf/0906.1398v3.pdf

Abstract: It has been shown that black holes would have formed in the early Universe if, on any given scale, the spectral amplitude of the Cosmic Microwave Background (CMB) exceeds 10^(-4). This value is within the bounds allowed by astrophysical phenomena for the small scale spectrum of the CMB, corresponding to scales which exit the horizon at the end of slow-roll inflation. Previous work by Kohri et. al. (2007) showed that for black holes to form from a single field model of inflation, the slope of the potential at the end of inflation must be flatter than it was at horizon exit. In this work we show that a phenomenological Hilltop model of inflation, satisfying the Kohri et. al. criteria, could lead to the production of black holes, if the power of the inflaton self-interaction is less than or equal to 3, with a reasonable number or e-folds. We extend our analysis to the running mass model, and confirm that this model results in the production of black holes, and by using the latest WMAP year 5 bounds on the running of the spectral index, and the black hole constraint we update the results of Leach et. al. (2000) excluding more of parameter space.

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Primordial black hole formation in the radiative era: investigation of   the critical nature of the collapse

Published Paper #: 304

Authors:, Ilia Musco, John C. Miller, Alexander G. Polnarev,

Journal: Class.Quant.Grav.26:235001,2009

url: http://arxiv.org/pdf/0811.1452v2.pdf

Abstract: Following on after two previous papers discussing the formation of primordial black holes in the early universe, we present here results from an in-depth investigation of the extent to which primordial black hole formation in the radiative era can be considered as an example of the critical collapse phenomenon. We focus on initial supra-horizon-scale perturbations of a type which could have come from inflation, with only a growing component and no decaying component. In order to study perturbations with amplitudes extremely close to the supposed critical limit, we have modified our previous computer code with the introduction of an adaptive mesh refinement scheme. This has allowed us to follow black hole formation from perturbations whose amplitudes are up to eight orders of magnitude closer to the threshold than we could do before. We find that scaling-law behaviour continues down to the smallest black hole masses that we are able to follow and we see no evidence of shock production such as has been reported in some previous studies and which led there to a breaking of the scaling-law behaviour at small black-hole masses. We attribute this difference to the different initial conditions used. In addition to the scaling law, we also present other features of the results which are characteristic of critical collapse in this context.

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No observational constraints from hypothetical collisions of   hypothetical dark halo primordial black holes with galactic objects

Published Paper #: 303

Authors:, Marek A. Abramowicz, Julia K. Becker, Peter L. Biermann, Antonella Garzilli, Fredrik Johansson, Lei Qian,

Journal: Astrophys.J.705:659-669,2009

url: http://arxiv.org/pdf/0810.3140v3.pdf

Abstract: It was suggested by several authors that hypothetical primordial black holes (PBHs) may contribute to the dark matter in our Galaxy. There are strong constraints based on the Hawking evaporation that practically exclude PBHs with masses m~1e15-1e16g and smaller as significant contributors to the Galactic dark matter. Similarly, PBHs with masses greater than about 1e26g are practically excluded by the gravitational lensing observation. The mass range between 10e16g<m<10e26g is unconstrained. In this paper, we examine possible observational signatures in the unexplored mass range, investigating hypothetical collisions of PBHs with main sequence stars, red giants, white dwarfs, and neutron stars in our Galaxy. This has previously been discussed as possibly leading to an observable photon eruption due to shock production during the encounter. We find that such collisions are either too rare to be observed (if the PBH masses are typically larger than about 1e20g), or produce too little power to be detected (if the masses are smaller than about 1e20g).

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Early Black Hole Formation by Accretion of Gas and Dark Matter

Published Paper #: 302

Authors:, Hideyuki Umeda, Naoki Yoshida, Ken Nomoto, Sachiko Tsuruta, Mei Sasaki, Takuya Ohkubo,

Journal: JCAP 08 (2009) 024

url: http://arxiv.org/pdf/0908.0573v2.pdf

Abstract: We propose a model in which intermediate-mass black holes (IMBHs) with mass of ~10000 Msun are formed in early dark matter halos. We carry out detailed stellar evolution calculations for accreting primordial stars including annihilation energy of dark matter particles. We follow the stellar core evolution consistently up to gravitational collapse. We show that very massive stars, as massive as 10000 Msun, can be formed in an early dark matter halo. Such stars are extremely bright with Log L/Lsun > 8.2. They gravitationally collapse to form IMBHs. These black holes could have seeded the formation of early super-massive blackholes.

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Effect of accretion on primordial black holes in Brans-Dicke theory

Published Paper #: 301

Authors:, B. Nayak, A. S. Majumdar, L. P. Singh,

Journal: Phys.Rev.D80:023529,2009

url: http://arxiv.org/pdf/0902.4553v2.pdf

Abstract: We consider the effect of accretion of radiation in the early universe on primordial black holes in Brans-Dicke theory. The rate of growth of a primordial black hole due to accretion of radiation in Brans-Dicke theory is considerably smaller than the rate of growth of the cosmological horizon, thus making available sufficient radiation density for the black hole to accrete causally. We show that accretion of radiation by Brans-Dicke black holes overrides the effect of Hawking evaporation during the radiation dominated era. The subsequent evaporation of the black holes in later eras is further modified due to the variable gravitational ``constant'', and they could survive up to longer times compared to the case of standard cosmology. We estimate the impact of accretion on modification of the constraint on their initial mass fraction obtained from the $\gamma$-ray background limit from presently evaporating primordial black holes.

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GUT-Scale Primordial Black Holes: Consequences and Constraints

Published Paper #: 300

Authors:, Richard Anantua, Richard Easther, John T. Giblin Jr,

Journal: Phys.Rev.Lett.103:111303,2009

url: http://arxiv.org/pdf/0812.0825v3.pdf

Abstract: A population of very light primordial black holes which evaporate before nucleosynthesis begins is unconstrained unless the decaying black holes leave stable relics. We show that gravitons Hawking radiated from these black holes would source a substantial stochastic background of high frequency gravititational waves ($10^{12}$ Hz or more) in the present universe. These black holes may lead to a transient period of matter dominated expansion. In this case the primordial universe could be temporarily dominated by large clusters of "Hawking stars" and the resulting gravitational wave spectrum is independent of the initial number density of primordial black holes.

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Spectral Lags of Gamma-Ray Bursts from Primordial Black Hole (PBH)   Evaporations

Published Paper #: 299

Authors:, T. N. Ukwatta, J. H. MacGibbon, W. C. Parke, K. S. Dhuga, A. Eskandarian, N. Gehrels, L. Maximon, D. C. Morris,

Journal: AIP Conf.Proc.1133:440-442,2009

url: http://arxiv.org/pdf/0901.0542v3.pdf

Abstract: Primordial Black Holes (PBHs), which may have been created in the early Universe, are predicted to be detectable by their Hawking radiation. PBHs with an initial mass of 5.0 * 10^14 g should be expiring today with a burst of high energy particles. Evaporating PBHs in the solar neighborhood are candidate Gamma-Ray Bursts (GRBs) progenitors. We propose spectral lag, which is the temporal delay between the high energy photon pulse and the low energy photon pulse, as a possible method to detect PBH evaporation events with the Fermi Gamma-ray Space Telescope Observatory.

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Cosmological Inflation: Theory and Observations

Published Paper #: 298

Authors:, Daniel Baumann, Hiranya V. Peiris,

Journal: Adv.Sci.Lett.2:105-120,2009

url: http://arxiv.org/pdf/0810.3022v2.pdf

Abstract: In this article we review the theory of cosmological inflation with a particular focus on the beautiful connection it provides between the physics of the very small and observations of the very large. We explain how quantum mechanical fluctuations during the inflationary era become macroscopic density fluctuations which leave distinct imprints in the cosmic microwave background (CMB). We describe the physics of anisotropies in the CMB temperature and polarization and discuss how CMB observations can be used to probe the primordial universe.

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Implications of primordial black holes on the first stars and the origin   of the super--massive black holes

Published Paper #: 297

Authors:, Cosimo Bambi, Douglas Spolyar, Alexander D. Dolgov, Katherine Freese, Marta Volonteri,

Journal: Mon.Not.Roy.Astron.Soc.399:1347-1356,2009

url: http://arxiv.org/pdf/0812.0585v2.pdf

Abstract: If the cosmological dark matter has a component made of small primordial black holes, they may have a significant impact on the physics of the first stars and on the subsequent formation of massive black holes. Primordial black holes would be adiabatically contracted into these stars and then would sink to the stellar center by dynamical friction, creating a larger black hole which may quickly swallow the whole star. If these primordial black holes are heavier than $\sim 10^{22} {\rm g}$, the first stars would likely live only for a very short time and would not contribute much to the reionization of the universe. They would instead become $10 - 10^3 M_\odot$ black holes which (depending on subsequent accretion) could serve as seeds for the super--massive black holes seen at high redshifts as well as those inside galaxies today.

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Generating Gravitational Waves After Inflation

Published Paper #: 296

Authors:, Richard Easther,

Journal: Nucl.Phys.Proc.Suppl.194:33-38,2009

url: http://arxiv.org/pdf/0906.4527v1.pdf

Abstract: I review two mechanisms by which gravitational waves can be generated at the end of inflation: preheating, and gravitons Hawking radiated during the decay of very small primordial black holes. These mechanisms are contrasted with the gravitational waves during inflation, and may provide a window into the physical processes that govern the end of the inflationary phase.

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Constraints on dark matter particles charged under a hidden gauge group   from primordial black holes

Published Paper #: 295

Authors:, De-Chang Dai, Katherine Freese, Dejan Stojkovic,

Journal: JCAP 0906:023,2009

url: http://arxiv.org/pdf/0904.3331v2.pdf

Abstract: In order to accommodate increasingly tighter observational constraints on dark matter, several models have been proposed recently in which dark matter particles are charged under some hidden gauge group. Hidden gauge charges are invisible for the standard model particles, hence such scenarios are very difficult to constrain directly. However black holes are sensitive to all gauge charges, whether they belong to the standard model or not. Here, we examine the constraints on the possible values of the dark matter particle mass and hidden gauge charge from the evolution of primordial black holes. We find that the existence of the primordial black holes with reasonable mass is incompatible with dark matter particles whose charge to mass ratio is of the order of one. For dark matter particles whose charge to mass ratio is much less than one, we are able to exclude only heavy dark matter in the mass range of 10^(11) GeV - 10^(16) GeV. Finally, for dark matter particles whose charge to mass ratio is much greater than one, there are no useful limits coming from primordial black holes.

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Constraints on amplitudes of curvature perturbations from primordial   black holes

Published Paper #: 294

Authors:, Edgar Bugaev, Peter Klimai,

Journal: Phys.Rev.D79:103511,2009

url: http://arxiv.org/pdf/0812.4247v3.pdf

Abstract: We calculate the primordial black hole (PBH) mass spectrum produced from a collapse of the primordial density fluctuations in the early Universe using, as an input, several theoretical models giving the curvature perturbation power spectra with large (~ 0.01 - 0.1) values at some scale of comoving wave numbers k. In the calculation we take into account the explicit dependence of gravitational (Bardeen) potential on time. Using the PBH mass spectra, we further calculate the neutrino and photon energy spectra in extragalactic space from evaporation of light PBHs, and the energy density fraction contained in PBHs today (for heavier PBHs). We obtain the constraints on the model parameters using available experimental data (including data on neutrino and photon cosmic backgrounds). We briefly discuss the possibility that the observed 511 keV line from the Galactic center is produced by annihilation of positrons evaporated by PBHs.

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The formation of the first stars and galaxies

Published Paper #: 293

Authors:, Volker Bromm, Naoki Yoshida, Lars Hernquist, Christopher F. McKee,

Journal: 2009, Nature, 459, 49-54

url: http://arxiv.org/pdf/0905.0929v1.pdf

Abstract: Observations made using large ground-based and space-borne telescopes have probed cosmic history all the way from the present-day to a time when the Universe was less than a tenth of its present age. Earlier on lies the remaining frontier, where the first stars, galaxies, and massive black holes formed. They fundamentally transformed the early Universe by endowing it with the first sources of light and chemical elements beyond the primordial hydrogen and helium produced in the Big Bang. The interplay of theory and upcoming observations promises to answer the key open questions in this emerging field.

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The black hole and FRW geometries of non-relativistic gravity

Published Paper #: 292

Authors:, Alex Kehagias, Konstadinos Sfetsos,

Journal: Phys.Lett.B678:123-126,2009

url: http://arxiv.org/pdf/0905.0477v1.pdf

Abstract: We consider the recently proposed non-relativistic Ho\v{r}ava-Lifshitz four-dimensional theory of gravity. We study a particular limit of the theory which admits flat Minkowski vacuum and we discuss thoroughly the quadratic fluctuations around it. We find that there are two propagating polarizations of the metric. We then explicitly construct a spherically symmetric, asymptotically flat, black hole solution that represents the analog of the Schwarzschild solution of GR. We show that this theory has the same Newtonian and post-Newtonian limits as GR and thus, it passes the classical tests. We also consider homogeneous and isotropic cosmological solutions and we show that although the equations are identical with GR cosmology, the couplings are constrained by the observed primordial abundance of ${}^4{\rm He}$.

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Generalised constraints on the curvature perturbation from primordial   black holes

Published Paper #: 291

Authors:, Amandeep S. Josan, Anne M. Green, Karim A. Malik,

Journal: Phys.Rev.D79:103520,2009

url: http://arxiv.org/pdf/0903.3184v2.pdf

Abstract: Primordial black holes (PBHs) can form in the early Universe via the collapse of large density perturbations. There are tight constraints on the abundance of PBHs formed due to their gravitational effects and the consequences of their evaporation. These abundance constraints can be used to constrain the primordial power spectrum, and hence models of inflation, on scales far smaller than those probed by cosmological observations. We compile, and where relevant update, the constraints on the abundance of PBHs before calculating the constraints on the curvature perturbation, taking into account the growth of density perturbations prior to horizon entry. We consider two simple parameterizations of the curvature perturbation spectrum on the scale of interest: constant and power-law. The constraints from PBHs on the amplitude of the power spectrum are typically in the range 10^{-2}-10^{-1} with some scale dependence.

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Probability of primordial black hole formation and its dependence on the   radial profile of initial configurations

Published Paper #: 290

Authors:, J. C. Hidalgo, A. G. Polnarev,

Journal: Phys.Rev.D79:044006,2009

url: http://arxiv.org/pdf/0806.2752v2.pdf

Abstract: In this paper we derive the probability of the radial profiles of spherically symmetric inhomogeneities in order to provide an improved estimation of the number density of primordial black holes (PBHs). We demonstrate that the probability of PBH formation depends sensitively on the radial profile of the initial configuration. We do this by characterising this profile with two parameters chosen heuristically: the amplitude of the inhomogeneity and the second radial derivative, both evaluated at the centre of the configuration. We calculate the joint probability of initial cosmological inhomogeneities as a function of these two parameters and then find a correspondence between these parameters and those used in numerical computations of PBH formation. Finally, we extend our heuristic study to evaluate the probability of PBH formation taking into account for the first time the radial profile of curvature inhomogeneities.

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Search for Primordial Black Holes with SGARFACE

Published Paper #: 289

Authors:, M. Schroedter, F. Krennrich, S. LeBohec, A. Falcone, S. J. Fegan, D. Horan, J. Kildea, A. W. Smith, J. Toner, T. C. Weekes,

Journal: Astropart.Phys.31:102-115,2009; AIP Conf.Proc.1085:701-704,2009

url: http://arxiv.org/pdf/0812.0546v2.pdf

Abstract: The Short GAmma Ray Front Air Cherenkov Experiment (SGARFACE) uses the Whipple 10 m telescope to search for bursts of $\gamma$ rays. SGARFACE is sensitive to bursts with duration from a few ns to $\sim$20 $\mu$s and with $\gamma$-ray energy above 100 MeV. SGARFACE began operating in March 2003 and has collected 2.2 million events during an exposure time of 2267 hours. A search for bursts of $\gamma$ rays from explosions of primordial black holes (PBH) was carried out. A Hagedorn-type PBH explosion is predicted to be visible within 60 pc of Earth. Background events were caused by cosmic rays and by atmospheric phenomena and their rejection was accomplished to a large extent using the time-resolved images. No unambiguous detection of bursts of $\gamma$ rays could be made as the remaining background events mimic the expected shape and time development of bursts. Upper limits on the PBH explosion rate were derived from the SGARFACE data and are compared to previous and future experiments. We note that a future array of large wide-field air-Cherenkov telescopes equipped with a SGARFACE-like trigger would be able to operate background-free with a 20 to 30 times higher sensitivity for PBH explosions.

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Transient Pulses from Exploding Primordial Black Holes as a Signature of   an Extra Dimension

Published Paper #: 288

Authors:, Michael Kavic, John H. Simonetti, Sean E. Cutchin, Steven W. Ellingson, Cameron D. Patterson,

Journal: JCAP0811:017,2008

url: http://arxiv.org/pdf/0801.4023v4.pdf

Abstract: An evaporating black hole in the presence of an extra spatial dimension would undergo an explosive phase of evaporation. We show that such an event, involving a primordial black hole, can produce a detectable, distinguishable electromagnetic pulse, signaling the existence of an extra dimension of size $L\sim10^{-18}-10^{-20}$ m. We derive a generic relationship between the Lorentz factor of a pulse-producing "fireball" and the TeV energy scale. For an ordinary toroidally compactified extra dimension, transient radio-pulse searches probe the electroweak energy scale ($\sim$0.1 TeV), enabling comparison with the Large Hadron Collider.

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Searching for Transient Pulses with the ETA Radio Telescope

Published Paper #: 287

Authors:, Cameron D. Patterson, Steven W. Ellingson, Brian S. Martin, Kshitija Deshpande, John H. Simonetti, Michael Kavic, Sean E. Cutchin,

Journal: ACM Trans.Reconf.Tech.Syst.1:1-19,2009

url: http://arxiv.org/pdf/0812.1255v1.pdf

Abstract: Array-based, direct-sampling radio telescopes have computational and communication requirements unsuited to conventional computer and cluster architectures. Synchronization must be strictly maintained across a large number of parallel data streams, from A/D conversion, through operations such as beamforming, to dataset recording. FPGAs supporting multi-gigabit serial I/O are ideally suited to this application. We describe a recently-constructed radio telescope called ETA having all-sky observing capability for detecting low frequency pulses from transient events such as gamma ray bursts and primordial black hole explosions. Signals from 24 dipole antennas are processed by a tiered arrangement of 28 commercial FPGA boards and 4 PCs with FPGA-based data acquisition cards, connected with custom I/O adapter boards supporting InfiniBand and LVDS physical links. ETA is designed for unattended operation, allowing configuration and recording to be controlled remotely.

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Primordial black holes from monopoles connected by strings

Published Paper #: 286

Authors:, Tomohiro Matsuda,

Journal: Astropart.Phys.30:333-337,2009

url: http://arxiv.org/pdf/hep-ph/0509061v6.pdf

Abstract: Primordial black holes (PBHs) are known to be produced from collapsing cosmic defects such as domain walls and strings. In this paper we show how PBHs are produced in monopole-string networks.

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Probability for Primordial Black Holes in Multidimensional Universe with   Nonlinear Scalar Curvature Terms

Published Paper #: 285

Authors:, B C Paul, A Saha, S Ghose,

Journal: Phys.Rev.D78:084007,2008

url: http://arxiv.org/pdf/0809.4136v2.pdf

Abstract: We investigate multi-dimensional universe with nonlinear scalar curvature terms to evaluate the probability of creation of primordial black holes. For this we obtain Euclidean instanton solution in two different topologies: (a) $S^{D-1}$ - topology which does not accommodate primordial black holes and (b) $S^1\times S^{D-2}$-topology which accommodates a pair of black holes. The probability for quantum creation of an inflationary universe with a pair of black holes has been evaluated assuming a gravitational action which is described by a polynomial function of scalar curvature with or without a cosmological constant ($\Lambda $) using the framework of semiclassical approximation of Hartle-Hawking boundary conditions. We discuss here a class of new gravitational instantons solution in the $R^4$-theory which are relevant for cosmological model building.

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Do Evaporating Black Holes Form Photospheres?

Published Paper #: 284

Authors:, Jane H. MacGibbon, B. J. Carr, Don N. Page,

Journal: Phys.Rev.D78:064043,2008

url: http://arxiv.org/pdf/0709.2380v6.pdf

Abstract: Several authors, most notably Heckler, have claimed that the observable Hawking emission from a microscopic black hole is significantly modified by the formation of a photosphere around the black hole due to QED or QCD interactions between the emitted particles. In this paper we analyze these claims and identify a number of physical and geometrical effects which invalidate these scenarios. We point out two key problems. First, the interacting particles must be causally connected to interact, and this condition is satisfied by only a small fraction of the emitted particles close to the black hole. Second, a scattered particle requires a distance ~ E/m_e^2 for completing each bremsstrahlung interaction, with the consequence that it is improbable for there to be more than one complete bremsstrahlung interaction per particle near the black hole. These two effects have not been included in previous analyses. We conclude that the emitted particles do not interact sufficiently to form a QED photosphere. Similar arguments apply in the QCD case and prevent a QCD photosphere (chromosphere) from developing when the black hole temperature is much greater than Lambda_QCD, the threshold for QCD particle emission. Additional QCD phenomenological arguments rule out the development of a chromosphere around black hole temperatures of order Lambda_QCD. In all cases, the observational signatures of a cosmic or Galactic halo background of primordial black holes or an individual black hole remain essentially those of the standard Hawking model, with little change to the detection probability. We also consider the possibility, as proposed by Belyanin et al. and D. Cline et al., that plasma interactions between the emitted particles form a photosphere, and we conclude that this scenario too is not supported.

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Astrophysical implications of hypothetical stable TeV-scale black holes

Published Paper #: 283

Authors:, Steven B. Giddings, Michelangelo M. Mangano,

Journal: Phys.Rev.D78:035009,2008

url: http://arxiv.org/pdf/0806.3381v2.pdf

Abstract: We analyze macroscopic effects of TeV-scale black holes, such as could possibly be produced at the LHC, in what is regarded as an extremely hypothetical scenario in which they are stable and, if trapped inside Earth, begin to accrete matter. We examine a wide variety of TeV-scale gravity scenarios, basing the resulting accretion models on first-principles, basic, and well-tested physical laws. These scenarios fall into two classes, depending on whether accretion could have any macroscopic effect on the Earth at times shorter than the Sun's natural lifetime. We argue that cases with such effect at shorter times than the solar lifetime are ruled out, since in these scenarios black holes produced by cosmic rays impinging on much denser white dwarfs and neutron stars would then catalyze their decay on timescales incompatible with their known lifetimes. We also comment on relevant lifetimes for astronomical objects that capture primordial black holes. In short, this study finds no basis for concerns that TeV-scale black holes from the LHC could pose a risk to Earth on time scales shorter than the Earth's natural lifetime. Indeed, conservative arguments based on detailed calculations and the best-available scientific knowledge, including solid astronomical data, conclude, from multiple perspectives, that there is no risk of any significance whatsoever from such black holes.

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Primordial Black Holes, Eternal Inflation, and the Inflationary   Parameter Space after WMAP5

Published Paper #: 282

Authors:, Hiranya V. Peiris, Richard Easther,

Journal: JCAP 0807:024,2008

url: http://arxiv.org/pdf/0805.2154v2.pdf

Abstract: We consider constraints on inflation driven by a single, minimally coupled scalar field in the light of the WMAP5 dataset, as well as ACBAR and the SuperNova Legacy Survey. We use the Slow Roll Reconstruction algorithm to derive optimal constraints on the inflationary parameter space. The scale dependence in the slope of the scalar spectrum permitted by WMAP5 is large enough to lead to viable models where the small scale perturbations have a substantial amplitude when extrapolated to the end of inflation. We find that excluding parameter values which would cause the overproduction of primordial black holes or even the onset of eternal inflation leads to potentially significant constraints on the slow roll parameters. Finally, we present a more sophisticated approach to including priors based on the total duration of inflation, and discuss the resulting restrictions on the inflationary parameter space.

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Searching for Very-High-Energy Gamma-Ray Bursts from Evaporating   Primordial Black Holes

Published Paper #: 281

Authors:, V. B. Petkov, E. V. Bugaev, P. A. Klimai, M. V. Andreev, V. I. Volchenko, G. V. Volchenko, A. N. Gaponenko, Zh. Sh. Guliev, I. M. Dzaparova, D. V. Smirnov, A. V. Sergeev, A. B. Chernyaev, A. F. Yanin,

Journal: Astron.Lett.34:509-514,2008, Pisma Astron.Zh.34:563-569,2008

url: http://arxiv.org/pdf/0808.3093v1.pdf

Abstract: Temporal and energy characteristics of the very-high-energy gamma-ray bursts from evaporating primordial black holes have been calculated by assuming that the photospheric and chromospheric effects are negligible. The technique of searching for such bursts on shower arrays is described. We show that the burst time profile and the array dead time should be taken into account to interpret experimental data. Based on data from the Andyrchy array of the Baksan Neutrino Observatory (Institute for Nuclear Research, Russian Academy of Sciences), we have obtained an upper limit on the number density of evaporating primordial black holes in a local region of space with a scale size of ~10^{-3} pc. Comparison with the results of previous experiments is made.

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Formation of intermediate-mass black holes as primordial black holes in   the inflationary cosmology with running spectral index

Published Paper #: 280

Authors:, Toshihiro Kawaguchi, Masahiro Kawasaki, Tsutomu Takayama, Masahide Yamaguchi, Jun'ichi Yokoyama,

Journal: Mon.Not.Roy.Astron.Soc.388:1426-1432,2008

url: http://arxiv.org/pdf/0711.3886v2.pdf

Abstract: Formation of primordial black holes (PBHs) on astrophysical mass scales is a natural consequence of inflationary cosmology if the primordial perturbation spectrum has a large and negative running of the spectral index as observationally inferred today, because double inflation is required to explain it and fluctuations on some astrophysical scales are enhanced in the field oscillation regime in between. It is argued that PBHs thus produced can serve as intermediate-mass black holes (IMBHs) which act as the observed ultraluminous X-ray sources (ULXs) by choosing appropriate values of the model parameters in their natural ranges. Our scenario can be observationally tested in near future because the mass of PBHs is uniquely determined once we specify the values of the spectral index and its running on large scales.

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Confirmation of a gapped primordial disk around LkCa 15

Published Paper #: 279

Authors:, Catherine Espaillat, Nuria Calvet, Kevin L. Luhman, James Muzerolle, Paola D'Alessio,

Journal: Astrophys.J.682:L125-L128,2008

url: http://arxiv.org/pdf/0807.2291v1.pdf

Abstract: Recently, analysis of near-infrared broad-band photometry and Spitzer IRS spectra has led to the identification of a new "pre-transitional disk" class whose members have an inner optically thick disk separated from an outer optically thick disk by an optically thin gap. This is in contrast to the "transitional disks" which have inner disk holes (i.e. large reductions of small dust from the star out to an outer optically thick wall). In LkCa 15, one of these proposed pre-transitional disks, detailed modeling showed that although the near-infrared fluxes could be understood in terms of optically thick material at the dust sublimation radius, an alternative model of emission from optically thin dust over a wide range of radii could explain the observations as well. To unveil the true nature of LkCa 15's inner disk we obtained a medium-resolution near-infrared spectrum spanning the wavelength range 2-5 microns using SpeX at the NASA Infrared Telescope Facility. We report that the excess near-infrared emission above the photosphere of LkCa 15 is a black-body continuum which can only be due to optically thick material in an inner disk around the star. When this confirmation of a primordial inner disk is combined with earlier observations of an inner edge to LkCa 15's outer disk it reveals a gapped structure. Forming planets emerge as the most likely mechanism for clearing the gap we detect in this evolving disk.

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Constraints on Primordial Black Holes by Distortions of Cosmic Microwave   Background

Published Paper #: 278

Authors:, Hiroyuki Tashiro, Naoshi Sugiyama,

Journal: Phys.Rev.D78:023004,2008

url: http://arxiv.org/pdf/0801.3172v2.pdf

Abstract: Possible influence of primordial black hole (PBH) evaporations on cosmic microwave background (CMB) is investigated. The spectrum distortions of CMB from the black-body spectrum are described by the chemical potential $\mu$ and the Compton parameter $y$. From COBE/FIRAS limits on $\mu$ and $y$, the power law index $n$ of primordial density fluctuations and the mass fraction of PBHs $\beta$ are constrained by employing the peak theory for the formation process of PBHs. Constraints set here are $n < 1.304$ and $n<1.333$ in the thresholds of peaks $\zeta_{\rm th} =0.7$ and $\zeta_{\rm th} =1.2$, respectively, for the PBH mass range between $2.7\times 10^{11}$g and $1.6 \times 10^{12}$g, and $n < 1.312$ and $n<1.343$ in the thresholds of peaks $\zeta_{\rm th} =0.7$ and $\zeta_{\rm th} =1.2$, respectively, for the PBH mass range between $1.6 \times 10^{12} {\rm g}$ and $3.5\times 10^{13}$g, which correspond to the comoving scales between $3 \times 10^{-18}$Mpc and $ 4\times 10^{-17}$Mpc. The constraint on the PBH fraction, which is the direct probe of the amplitude of density fluctuations in these scales, stays an almost same value as $\beta<10^{-21}$ in these mass ranges. It is also found that, with these constraints, UV photons injected by PBH evaporations are unlikely ionize vast hydrogen atoms after recombination.

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Binary formation and mass function variations in fragmenting discs with   short cooling times

Published Paper #: 277

Authors:, R. D. Alexander, P. J. Armitage, J. Cuadra,

Journal: Mon.Not.Roy.Astron.Soc. 389 (2008) 1655-1664

url: http://arxiv.org/pdf/0807.1731v1.pdf

Abstract: Accretion discs at sub-pc distances around supermassive black holes are likely to cool rapidly enough that self-gravity results in fragmentation. Here, we use high-resolution hydrodynamic simulations of a simplified disc model to study how the outcome of fragmentation depends upon numerical resolution and cooling time, and to investigate the incidence of binary formation within fragmenting discs. We investigate a range of cooling times, from the relatively long cooling time-scales that are marginally unstable to fragmentation down to highly unstable cooling on a time-scale that is shorter than the local dynamical time. The characteristic mass of fragments decreases with reduced cooling time, though the effect is modest and dependent upon details of how rapidly bound clumps radiate. We observe a high incidence of capture binaries, though we are unable to determine their final orbits or probability of survival. The results suggest that faster cooling in the parent disc results in an increased binary fraction, and that a high primordial binary fraction may result from disc fragmentation. We discuss our results in terms of the young massive stars close to the Galactic Centre, and suggest that observations of some stellar binaries close to the Galactic Centre remain consistent with formation in a fragmenting accretion disc.

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Inhomogeneous baryogenesis, cosmic antimatter, and dark matter

Published Paper #: 276

Authors:, A. D. Dolgov, M. Kawasaki, N. Kevlishvili,

Journal: Nucl.Phys.B807:229-250,2009

url: http://arxiv.org/pdf/0806.2986v2.pdf

Abstract: A model of inhomogeneous baryogenesis based on the Affleck and Dine mechanism is described. A simple coupling of the scalar baryon field to the inflaton allows for formation of astronomically significant bubbles with a large baryon (or antibaryon) asymmetry. During the farther evolution these domains form compact stellar-like objects, or lower density clouds, or primordial black holes of different size. According to the scenario, such high baryonic number objects occupy relatively small fraction of space but despite that they may significantly contribute to the cosmological mass density. For some values of parameters the model allows the possibility the whole dark matter in the universe to be baryonic. Furthermore, the model allows the existence of the antibaryonic B-bubbles, i.e. a significant fraction of the mass density in the universe can be in the form of the compact antimatter objects (e.g. anti-stars).

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Subtraction-noise projection in gravitational-wave detector networks

Published Paper #: 275

Authors:, Jan Harms, Christoph Mahrdt, Markus Otto, Malte Priess,

Journal: Phys.Rev.D77:123010,2008

url: http://arxiv.org/pdf/0803.0226v2.pdf

Abstract: In this paper, we present a successful implementation of a subtraction-noise projection method into a simple, simulated data analysis pipeline of a gravitational-wave search. We investigate the problem to reveal a weak stochastic background signal which is covered by a strong foreground of compact-binary coalescences. The foreground which is estimated by matched filters, has to be subtracted from the data. Even an optimal analysis of foreground signals will leave subtraction noise due to estimation errors of template parameters which may corrupt the measurement of the background signal. The subtraction noise can be removed by a noise projection. We apply our analysis pipeline to the proposed future-generation space-borne Big Bang Observer (BBO) mission which seeks for a stochastic background of primordial GWs in the frequency range $\sim 0.1-1 $Hz covered by a foreground of black-hole and neutron-star binaries. Our analysis is based on a simulation code which provides a dynamical model of a time-delay interferometer (TDI) network. It generates the data as time series and incorporates the analysis pipeline together with the noise projection. Our results confirm previous ad hoc predictions which say that BBO will be sensitive to backgrounds with fractional energy densities below $\Omega=10^{-16}$

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Stellar dynamical evidence against a cold disc origin for stars in the   Galactic Centre

Published Paper #: 274

Authors:, Jorge Cuadra, Philip J. Armitage, Richard D. Alexander,

Journal: Mon.Not.Roy.Astron.Soc. 388 (2008) L64-L68

url: http://arxiv.org/pdf/0804.3596v2.pdf

Abstract: Observations of massive stars within the central parsec of the Galaxy show that, while most stars orbit within a well-defined disc, a significant fraction have large eccentricities and / or inclinations with respect to the disc plane. Here, we investigate whether this dynamically hot component could have arisen via scattering from an initially cold disc -- the expected initial condition if the stars formed from the fragmentation of an accretion disc. Using N-body methods, we evolve a variety of flat, cold, stellar systems, and study the effects of initial disc eccentricity, primordial binaries, very massive stars and intermediate mass black holes. We find, consistent with previous results, that a circular disc does not become eccentric enough unless there is a significant population of undetected 100--1000 Msun objects. However, since fragmentation of an eccentric disc can readily yield eccentric stellar orbits, the strongest constraints come from inclinations. We show that_none_ of our initial conditions yield the observed large inclinations, regardless of the initial disc eccentricity or the presence of massive objects. These results imply that the orbits of the young massive stars in the Galactic Centre are largely primordial, and that the stars are unlikely to have formed as a dynamically cold disc.

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Transient Astrophysical Pulses and Quantum Gravity

Published Paper #: 273

Authors:, Michael Kavic, Djordje Minic, John Simonetti,

Journal: Int.J.Mod.Phys.D17:2495-2500,2009

url: http://arxiv.org/pdf/0805.2941v1.pdf

Abstract: Searches for transient astrophysical pulses could open an exciting new window into the fundamental physics of quantum gravity. In particular, an evaporating primordial black hole in the presence of an extra dimension can produce a detectable transient pulse. Observations of such a phenomenon can in principle explore the electroweak energy scale, indicating that astrophysical probes of quantum gravity can successfully complement the exciting new physics expected to be discovered in the near future at the Large Hadron Collider.

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Single-field inflation, anomalous enhancement of superhorizon   fluctuations, and non-Gaussianity in primordial black hole formation

Published Paper #: 272

Authors:, Ryo Saito, Jun'ichi Yokoyama, Ryo Nagata,

Journal: JCAP 0806:024,2008

url: http://arxiv.org/pdf/0804.3470v1.pdf

Abstract: We show a text-book potential for single-field inflation, namely, the Coleman-Weinberg model can induce double inflation and formation of primordial black holes (PBHs), because fluctuations that leave the horizon near the end of first inflation are anomalously enhanced at the onset of second inflation when the time-dependent mode turns to a growing mode rather than a decaying mode. The mass of PBHs produced in this mechanism lies in several discrete ranges depending on the model parameters. We also calculate the effects of non-Gaussian statistics due to higher-order interactions on the abundance of PBHs, which turns out to be small.

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Spectroscopy of a canonically quantized horizon

Published Paper #: 271

Authors:, Mohammad H. Ansari,

Journal: Nucl.Phys.B783:179-212,2007

url: http://arxiv.org/pdf/hep-th/0607081v4.pdf

Abstract: Deviations from Hawking's thermal black hole spectrum, observable for macroscopic black holes, are derived from a model of a quantum horizon in loop quantum gravity. These arise from additional area eigenstates present in quantum surfaces excluded by the classical isolated horizon boundary conditions. The complete spectrum of area unexpectedly exhibits evenly spaced symmetry. This leads to an enhancement of some spectral lines on top of the thermal spectrum. This can imprint characteristic features into the spectra of black hole systems. It most notably gives the signature of quantum gravity observability in radiation from primordial black holes, and makes it possible to test loop quantum gravity with black holes well above Planck scale.

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Resolving the Formation of Protogalaxies. II. Central Gravitational   Collapse

Published Paper #: 270

Authors:, John H. Wise, Matthew J. Turk, Tom Abel,

Journal: ApJ (2008), 682, 745

url: http://arxiv.org/pdf/0710.1678v2.pdf

Abstract: Numerous cosmological hydrodynamic studies have addressed the formation of galaxies. Here we choose to study the first stages of galaxy formation, including non-equilibrium atomic primordial gas cooling, gravity and hydrodynamics. Using initial conditions appropriate for the concordance cosmological model of structure formation, we perform two adaptive mesh refinement simulations of ~10^8 M_sun galaxies at high redshift. The calculations resolve the Jeans length at all times with more than 16 cells and capture over 14 orders of magnitude in length scales. In both cases, the dense, 10^5 solar mass, one parsec central regions are found to contract rapidly and have turbulent Mach numbers up to 4. Despite the ever decreasing Jeans length of the isothermal gas, we only find one site of fragmentation during the collapse. However, rotational secular bar instabilities transport angular momentum outwards in the central parsec as the gas continues to collapse and lead to multiple nested unstable fragments with decreasing masses down to sub-Jupiter mass scales. Although these numerical experiments neglect star formation and feedback, they clearly highlight the physics of turbulence in gravitationally collapsing gas. The angular momentum segregation seen in our calculations plays an important role in theories that form supermassive black holes from gaseous collapse.

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Constraints on the Number Density of Evaporating Primordial Black Holes   for the Chromospheric Evaporation Models

Published Paper #: 269

Authors:, V. B. Petkov, E. V. Bugaev, P. A. Klimai, D. V. Smirnov,

Journal: JETP Lett.87:1-3,2008; Pisma Zh.Eksp.Teor.Fiz.87:3-6,2008

url: http://arxiv.org/pdf/0803.2313v1.pdf

Abstract: Cosmic gamma-ray bursts with primary-photon energies > 10 GeV are sought in the data from the Andyrchy array obtained in the mode of detection of a single cosmic-ray component during a net observation period of 2005.4 d. The distribution of fluctuations of the detector counting rate agrees with the expected cosmic-ray background, the only exception being an event with a deviation of 7.9 sigma. Constraints on the number density of evaporating primordial black holes in a local region of the Galaxy are obtained for the chromospheric evaporation models.

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Primordial black holes and asteroid danger

Published Paper #: 268

Authors:, Alexander Shatskiy,

Journal: Vestnik Moskovskogo Universiteta (in Russian), ser. 3, No4, (2008)

url: http://arxiv.org/pdf/0802.3119v1.pdf

Abstract: Probability for a primordial black hole to invade the Kuiper belt was calculated. We showed that primordial black holes of certain masses can significantly change asteroids' orbits. These events may result in disasters, local for our solar system and global for the Earth (like the Tunguska meteorite). We also estimated how often such events occur.

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Primordial Black Hole: Mass and Angular Momentum Evolution

Published Paper #: 267

Authors:, G. S. Bisnovatyi-Kogan, O. Yu. Tsupko,

Journal: Grav.Cosmol.14:173-175,2008

url: http://arxiv.org/pdf/0802.2462v2.pdf

Abstract: The evolution of the primordial low mass black hole (PBH) in hot universe is considered. Increase of mass and decrease of PBH spin due to the accretion of radiation dominated matter are estimated with using of results of numerical simulation of PBH formation and approximate relations for accretion to a rotating black hole.

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Reducing False Alarms in Searches for Gravitational Waves from   Coalescing Binary Systems

Published Paper #: 266

Authors:, Andres Rodriguez,

Journal: M.S. Thesis (Advisor: Prof. Gabriela Gonzalez), Louisiana State
 University, 2007

url: http://arxiv.org/pdf/0802.1376v1.pdf

Abstract: LIGO observatories in Livingston, LA and Hanford, WA may detect gravitational waves emitted from coalescing binary systems composed of two compact objects. In order to detect compact binary coalescence (CBC) events, LIGO searches utilize matched filtering techniques. Matched filtering is the optimal detection strategy for stationary, Gaussian noise, however, LIGO noise is often non-stationary, non-Gaussian. Non-stationary noise result in an excess of false candidate events, commonly known as false alarms. This thesis develops the r^2 test to reduce the false alarm rate for LIGO CBC searches. Results of the search for primordial black hole binary systems (where each object has less than 1M_solar), in LIGO's Third Science Run (S3) is also presented.   Results of the r^2 test are shown for several LIGO CBC searches, including the binary neutron star searches in the Third and Fourth Science Runs (S3/S4), the S3/S4 primordial black hole searches, and the binary black hole search in the first three months of the Fifth Science Run (S5). The r^2 test significantly reduces the false alarm rate in these searches, while only falsely dismissing a small fraction of simulated events.

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Search for gravitational waves from binary inspirals in S3 and S4 LIGO   data

Published Paper #: 265

Authors:, LIGO Scientific Collaboration, B. Abbott,

Journal: Phys.Rev.D77:062002,2008

url: http://arxiv.org/pdf/0704.3368v4.pdf

Abstract: We report on a search for gravitational waves from the coalescence of compact binaries during the third and fourth LIGO science runs. The search focused on gravitational waves generated during the inspiral phase of the binary evolution. In our analysis, we considered three categories of compact binary systems, ordered by mass: (i) primordial black hole binaries with masses in the range 0.35 M(sun) < m1, m2 < 1.0 M(sun), (ii) binary neutron stars with masses in the range 1.0 M(sun) < m1, m2 < 3.0 M(sun), and (iii) binary black holes with masses in the range 3.0 M(sun)< m1, m2 < m_(max) with the additional constraint m1+ m2 < m_(max), where m_(max) was set to 40.0 M(sun) and 80.0 M(sun) in the third and fourth science runs, respectively. Although the detectors could probe to distances as far as tens of Mpc, no gravitational-wave signals were identified in the 1364 hours of data we analyzed. Assuming a binary population with a Gaussian distribution around 0.75-0.75 M(sun), 1.4-1.4 M(sun), and 5.0-5.0 M(sun), we derived 90%-confidence upper limit rates of 4.9 yr^(-1) L10^(-1) for primordial black hole binaries, 1.2 yr^(-1) L10^(-1) for binary neutron stars, and 0.5 yr^(-1) L10^(-1) for stellar mass binary black holes, where L10 is 10^(10) times the blue light luminosity of the Sun.

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Early formation of galaxies initiated by clusters of primordial black   holes

Published Paper #: 264

Authors:, V. I. Dokuchaev, Yu. N. Eroshenko, S. G. Rubin,

Journal: Astron.Rep.52:779-789,2008

url: http://arxiv.org/pdf/0801.0885v1.pdf

Abstract: Model of supermassive black holes formation inside the clusters of primordial black holes is developed. Namely, it is supposed, that some mass fraction of the universe ~10^-3 is composed of the compact clusters of primordial (relic) black holes, produced during phase transitions in the early universe. These clusters are the centers of dark matter condensation. We model the formation of protogalaxies with masses about 2*10^8M_sun at the redshift z=15. These induced protogalaxies contain central black holes with mass ~10^5M_sun and look like dwarf spheroidal galaxies with central density spike. The subsequent merging of induced protogalaxies and ordinary dark matter haloes corresponds to the standard hierarchical clustering scenario of large-scale structure formation. The coalescence of primordial black holes results in formation of supermassive black holes in the galactic centers. As a result, the observed correlation between the masses of central black holes and velocity dispersion in the galactic bulges is reproduced.

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Primordial Black Holes

Published Paper #: 263

Authors:, M. Yu. Khlopov,

Journal: Res.Astron.Astrophys.10:495-528,2010

url: http://arxiv.org/pdf/0801.0116v1.pdf

Abstract: Primordial black holes (PBHs) are a profound signature of primordial cosmological structures and provide a theoretical tool to study nontrivial physics of the early Universe. The mechanisms of PBH formation are discussed and observational constraints on the PBH spectrum, or effects of PBH evaporation, are shown to restrict a wide range of particle physics models, predicting an enhancement of the ultraviolet part of the spectrum of density perturbations, early dust-like stages, first order phase transitions and stages of superheavy metastable particle dominance in the early Universe. The mechanism of closed wall contraction can lead, in the inflationary Universe, to a new approach to galaxy formation, involving primordial clouds of massive BHs created around the intermediate mass or supermassive BH and playing the role of galactic seeds.

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Black holes in the varying speed of light theory

Published Paper #: 262

Authors:, H. Shojaie, M. Farhoudi,

Journal: Can.J.Phys.85:1409-1415,2007

url: http://arxiv.org/pdf/astro-ph/0209453v3.pdf

Abstract: We consider the effect of the \emph{Varying Speed of Light} theory on non-rotating black holes. We show that in any varying-$c$ theory, the Schwarzschild solution is neither static nor stationary. For a no-charged black hole, the singularity in the Schwarzschild horizon cannot be removed by coordinate transformation. Hence, no matter can enter the horizon, and the interior part of the black hole is separated from the rest of the Universe. If $\dot{c}<0$, then the size of the Schwarzschild radius increases with time. The higher value of the speed of light in the very early Universe may have caused a large reduction in the probability of the creation of the primordial black holes and their population.The same analogy is also considered for the charged black holes.

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Extreme recoils: impact on the detection of gravitational waves from   massive black hole binaries

Published Paper #: 261

Authors:, A. Sesana,

Journal: 2007, MNRAS, 382, L6

url: http://arxiv.org/pdf/0707.4677v2.pdf

Abstract: Recent numerical simulations of coalescences of highly spinning massive black hole binaries (MBHBs) suggest that the remnant can suffer a recoil velocity of the order of few thousands km/s. We study here, by means of dedicated simulations of black holes build--up, how such extreme recoils could affect the cosmological coalescence rate of MBHBs, placing a robust lower limit for the predicted number of gravitational wave (GW) sources detectable by future space--borne missions (such as LISA). We consider two main routes for black hole formation: one where seeds are light remnants of Population III stars (~10^2 \msun), and one where seeds are much heavier (>~10^4 \msun), formed via the direct gas collapse in primordial nuclear disks. We find that extreme recoil velocities do not compromise the efficient MBHB detection by LISA. If seeds are already massive and/or relatively rare, the detection rate is reduced by only ~15%. The number of detections drops substantially (by ~60%) if seeds are instead light and abundant, but in this case the number of predicted coalescences is so high that at least ~10 sources in a three year observation are guaranteed.

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Evolution of Primordial Black Holes in a radiation and phantom energy   environment

Published Paper #: 260

Authors:, Daniel C. Guariento, J. E. Horvath, P. S. Custódio, J. A. de Freitas Pacheco,

Journal: Gen.Rel.Grav.40:1593-1602,2008

url: http://arxiv.org/pdf/0711.3641v1.pdf

Abstract: In this work we extend previous work on the evolution of a Primordial Black Hole (PBH) to address the presence of a dark energy component with a super-negative equation of state as a background, investigating the competition between the radiation accretion, the Hawking evaporation and the phantom accretion, the latter two causing a decrease on black hole mass. It is found that there is an instant during the matter-dominated era after which the radiation accretion becomes negligible compared to the phantom accretion. The Hawking evaporation may become important again depending on a mass threshold. The evaporation of PBHs is quite modified at late times by these effects, but only if the Generalized Second Law of thermodynamics is violated.

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Short-distance contribution to the spectrum of Hawking radiation

Published Paper #: 259

Authors:, I. Agullo, J. Navarro-Salas, Gonzalo J. Olmo, Leonard Parker,

Journal: Phys.Rev.D76:044018,2007

url: http://arxiv.org/pdf/hep-th/0611355v2.pdf

Abstract: The Hawking effect can be rederived in terms of two-point functions and in such a way that it makes it possible to estimate, within the conventional semiclassical theory, the contribution of ultrashort distances to the Planckian spectrum. For Schwarzschild black holes of three solar masses the analysis shows that Hawking radiation is very robust up to frequencies of 96 T_H or 270 T_H for bosons and fermions, respectively. For primordial black holes (with masses around 10^{15} g) these frequencies turn out to be of order 52T_H and 142 T_H. Only at these frequencies and above do we find that the contribution of Planck distances is of order of the total spectrum itself. Below this scale, the contribution of ultrashort distances to the spectrum is negligible. This suggests that only above these frequencies could an underlying quantum theory of gravity potentially predict significant deviations from Hawking's semiclassical result.

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Is There a Relationship between the Density of Primordial Black Holes in   a Galaxy and the Rate of Cosmological Gamma-Ray Bursts?

Published Paper #: 258

Authors:, Alexander Shatskiy,

Journal: Astron.Rep.50:773-777,2007

url: http://arxiv.org/pdf/0710.5275v1.pdf

Abstract: The rate of accretion of matter from a solar-type star onto a primordial black hole (PBH) that passes through it is calculated. The probability that a PBH is captured into an orbit around a star in a galaxy is found. The mean lifetime of the PBH in such an orbit and the rate of orbital captures of PBHs in the galaxy are calculated. It is shown that this rate does not depend on the mass of the PBH. This mechanism cannot make an appreciable contribution to the rate of observed gamma-ray bursts. The density of PBHs in the galaxy can reach a critical value - the density of the mass of dark matter in the galaxy.

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Scalar perturbations in Randall-Sundrum braneworld cosmology

Published Paper #: 257

Authors:, Antonio Cardoso,

Journal: PoS Cargese2007:019,2007

url: http://arxiv.org/pdf/0710.4507v1.pdf

Abstract: We study the evolution of scalar perturbations in the radiation-dominated era of Randall-Sundrum braneworld cosmology by numerically solving the coupled bulk and brane master wave equations. We find that density perturbations with wavelengths less than a critical value (set by the bulk curvature length) are amplified during horizon re-entry. Conversely, we explicitly confirm from simulations that the spectrum is identical to GR on large scales. Although this magnification is not relevant for the cosmic microwave background or measurements of large scale structure, it may have some bearing on the formation of primordial black holes in Randall-Sundrum models.

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Exotic solutions in General Relativity: Traversable wormholes and 'warp   drive' spacetimes

Published Paper #: 256

Authors:, Francisco S. N. Lobo,

Journal: Classical and Quantum Gravity Research, 1-78, (2008), Nova Sci.
 Pub. ISBN 978-1-60456-366-5

url: http://arxiv.org/pdf/0710.4474v1.pdf

Abstract: The General Theory of Relativity has been an extremely successful theory, with a well established experimental footing, at least for weak gravitational fields. Its predictions range from the existence of black holes, gravitational radiation to the cosmological models, predicting a primordial beginning, namely the big-bang. All these solutions have been obtained by first considering a plausible distribution of matter, and through the Einstein field equation, the spacetime metric of the geometry is determined. However, one may solve the Einstein field equation in the reverse direction, namely, one first considers an interesting and exotic spacetime metric, then finds the matter source responsible for the respective geometry. In this manner, it was found that some of these solutions possess a peculiar property, namely 'exotic matter,' involving a stress-energy tensor that violates the null energy condition. These geometries also allow closed timelike curves, with the respective causality violations. These solutions are primarily useful as 'gedanken-experiments' and as a theoretician's probe of the foundations of general relativity, and include traversable wormholes and superluminal 'warp drive' spacetimes. Thus, one may be tempted to denote these geometries as 'exotic' solutions of the Einstein field equation, as they violate the energy conditions and generate closed timelike curves. In this article, in addition to extensively exploring interesting features, in particular, the physical properties and characteristics of these 'exotic spacetimes,' we also analyze other non-trivial general relativistic geometries which generate closed timelike curves.

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Observe matter falling into a black hole

Published Paper #: 255

Authors:, Shuang Nan Zhang, Yuan Liu,

Journal: AIPConf.Proc.968:384-391,2008

url: http://arxiv.org/pdf/0710.2443v1.pdf

Abstract: It has been well known that in the point of view of a distant observer, all in-falling matter to a black hole (BH) will be eventually stalled and "frozen" just outside the event horizon of the BH, although an in-falling observer will see the matter falling straight through the event horizon. Thus in this "frozen star" scenario, as distant observers, we could never observe matter falling into a BH, neither could we see any "real" BH other than primordial ones, since all other BHs are believed to be formed by matter falling towards singularity. Here we first obtain the exact solution for a pressureless mass shell around a pre-existing BH. The metrics inside and interior to the shell are all different from the Schwarzschild metric of the enclosed mass. The metric interior to the shell can be transformed to the Schwarzschild metric for a slower clock which is dependent of the location and mass of the shell. Another result is that there does not exist a singularity nor event horizon in the shell. Therefore the "frozen star" scenario is incorrect. We also show that for all practical astrophysical settings the in-falling time recorded by an external observer is sufficiently short that future astrophysical instruments may be able to follow the whole process of matter falling into BHs. The distant observer could not distinguish between a "real" BH and a "frozen star", until two such objects merge together. It has been proposed that electromagnetic waves will be produced when two "frozen stars" merge together, but not true when two "real" bare BHs merge together. However gravitational waves will be produced in both cases. Thus our solution is testable by future high sensitivity astronomical observations.

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Black Hole Evaporation in an Expanding Universe

Published Paper #: 254

Authors:, Hiromi Saida, Tomohiro Harada, Hideki Maeda,

Journal: Class.Quant.Grav.24:4711-4732,2007

url: http://arxiv.org/pdf/0705.4012v2.pdf

Abstract: We calculate the quantum radiation power of black holes which are asymptotic to the Einstein-de Sitter universe at spatial and null infinities. We consider two limiting mass accretion scenarios, no accretion and significant accretion. We find that the radiation power strongly depends on not only the asymptotic condition but also the mass accretion scenario. For the no accretion case, we consider the Einstein-Straus solution, where a black hole of constant mass resides in the dust Friedmann universe. We find negative cosmological correction besides the expected redshift factor. This is given in terms of the cubic root of ratio in size of the black hole to the cosmological horizon, so that it is currently of order $10^{-5} (M/10^{6}M_{\odot})^{1/3} (t/14 {Gyr})^{-1/3}$ but could have been significant at the formation epoch of primordial black holes. Due to the cosmological effects, this black hole has not settled down to an equilibrium state. This cosmological correction may be interpreted in an analogy with the radiation from a moving mirror in a flat spacetime. For the significant accretion case, we consider the Sultana-Dyer solution, where a black hole tends to increase its mass in proportion to the cosmological scale factor. In this model, we find that the radiation power is apparently the same as the Hawking radiation from the Schwarzschild black hole of which mass is that of the growing mass at each moment. Hence, the energy loss rate decreases and tends to vanish as time proceeds. Consequently, the energy loss due to evaporation is insignificant compared to huge mass accretion onto the black hole. Based on this model, we propose a definition of quasi-equilibrium temperature for general conformal stationary black holes.

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Formation of Massive Primordial Stars in a Reionized Gas

Published Paper #: 253

Authors:, Naoki Yoshida, Kazuyuki Omukai, Lars Hernquist,

Journal: Astrophysical Journal Letters 667 (2007) 117-120

url: http://arxiv.org/pdf/0706.3597v2.pdf

Abstract: We use cosmological hydrodynamic simulations with unprecedented resolution to study the formation of primordial stars in an ionized gas at high redshifts. Our approach includes all the relevant atomic and molecular physics to follow the thermal evolution of a prestellar gas cloud to very high densities of ~10^{18} cm^{-3}. We locate a star-forming gas cloud within a reionized region in our cosmological simulation. The first run-away collapse is triggered when the gas cloud's mass is ~40 Msun. We show that the cloud core remains stable against chemo-thermal instability and also against gravitational deformation throughout its evolution. Consequently, a single proto-stellar seed is formed, which accretes the surrounding hot gas at the rate ~10^{-3} Msun/year. We carry out proto-stellar evolution calculations using the inferred accretion rate. The resulting mass of the star when it reaches the zero-age main sequence is M_ZAMS ~40 Msun. We argue that, since the obtained M_ZAMS is as large as the mass of the collapsing parent cloud, the final stellar mass should be close to this value. Such massive, rather than exceptionally massive, primordial stars are expected to cause early chemical enrichment of the Universe by exploding as black hole-forming super/hypernovae, and may also be progenitors of high redshift gamma-ray bursts. The elemental abundance patterns of recently discovered hyper metal-poor stars suggest that they might have been born from the interstellar medium that was metal-enriched by supernovae of these massive primordial stars.

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Gravitational waves from inspiralling compact binaries: hexagonal   template placement and its efficiency in detecting physical signals

Published Paper #: 252

Authors:, Thomas Cokelaer,

Journal: Phys.Rev.D76:102004,2007

url: http://arxiv.org/pdf/0706.4437v1.pdf

Abstract: Matched filtering is used to search for gravitational waves emitted by inspiralling compact binaries in data from the ground-based interferometers. One of the key aspects of the detection process is the design of a template bank that covers the astrophysically pertinent parameter space. In an earlier paper, we described a template bank that is based on a square lattice. Although robust, we showed that the square placement is over-efficient, with the implication that it is computationally more demanding than required. In this paper, we present a template bank based on an hexagonal lattice, which size is reduced by 40% with respect to the proposed square placement. We describe the practical aspects of the hexagonal template bank implementation, its size, and computational cost. We have also performed exhaustive simulations to characterize its efficiency and safeness. We show that the bank is adequate to search for a wide variety of binary systems (primordial black holes, neutron stars and stellar mass black holes) and in data from both current detectors (initial LIGO, Virgo and GEO600) as well as future detectors (advanced LIGO and EGO). Remarkably, although our template bank placement uses a metric arising from a particular template family, namely stationary phase approximation, we show that it can be used successfully with other template families (e.g., Pade resummation and effective one-body approximation). This quality of being effective for different template families makes the proposed bank suitable for a search that would use several of them in parallel (e.g., in a binary black hole search). The hexagonal template bank described in this paper is currently used to search for non-spinning inspiralling compact binaries in data from the Laser Interferometer Gravitational-Wave Observatory (LIGO).

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Photon spectra from final stages of a primordial black hole evaporation   in different theoretical models

Published Paper #: 251

Authors:, Edgar Bugaev, Peter Klimai, Valery Petkov,

Journal: Proc. of the 30th International Cosmic Ray Conference; R.
 Caballero et al (eds.); Universidad Nacional Autonoma de Mexico, Mexico City,
 Mexico, 2008; Vol. 3 (OG part 2), pages 1123-1126

url: http://arxiv.org/pdf/0706.3778v1.pdf

Abstract: Possibilities of an experimental search for gamma-ray bursts from primordial black hole (PBH) evaporations in space are reconsidered. It is argued that the corresponding constraints which can be obtained in experiments with cosmic ray detectors strongly depend on theoretical approach used for a description of the PBH evaporation process. Predictions of several theoretical models for gamma-ray spectra from final stages of PBH life (integrated over time) are given.

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Singular Sources of Energy in Stars and Planets

Published Paper #: 250

Authors:, B. E. Zhilyaev,

Journal: KinematicsPhys.Celest.Bodies4:211-216,2003

url: http://arxiv.org/pdf/0706.2504v1.pdf

Abstract: If primordial low-mass black holes (PBH) exist in the Universe than many of stars and planetary bodies appear to be infected by them. This is also true in regard to the Sun and likely Jupiter and Saturn. The availability of even the very low-mass inner relativistic reactor may lead to essential changes in evolution scenario of a celestial body on its lifetime scale. Black holes in stellar interior may be found either in consequence of captures process or incorporation during the formation of a star from interstellar clouds. Surprisingly that in the equilibrium state a PBH growth is a long-lived process with e-folding rise time of billion years. One can envision a PBH orbiting inside the Sun. Our considerations showed that the PBH experiences very little friction in passing through the stellar matter. If the BH mass is above 10^{-5}M_{sun} the major contribution to the luminosity comes from the relativistic gravitational reactor. In such a case a star evolves towards the Eddington limit. This should lead to considerable expansion of a star and a global stability loss. Microscopic PBHs can exist in the interior of planetary bodies too. To produce the required excess of thermal energy on Jupiter and Saturn the masses of PBH captured are assumed to be reached of 4 10^{19} and 7 10^{18} g, respectively. These microscopic objects are comparable to the hydrogen atom in size. One can envision even a planet with the PBH acting as the self-sufficient source of heating. Such a planet does not need a sun to maintain animal life on its surface. This may last eons.

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Gamma-Ray Bursts as Manifestation of Collisions of Primordial Black   Holes with Stars

Published Paper #: 249

Authors:, B. E. Zhilyaev,

Journal: Bull.Crim.Astrophys.Observ.103:58-64,2007

url: http://arxiv.org/pdf/0706.0930v1.pdf

Abstract: Using the BATSE survey data I find that quite small fraction of GRBs numbering 37 sources seems to emit the radiation similar to thermal bremsstrahlung in the range 20 to 300 keV. I suggest that these bursts may perhaps occur from collision of stars with primordial black holes (PBH). These objects are relic of a hot matter in the early Universe. PBH in the vicinity of stars may be found in consequence of incorporation processes during the formation of stars from interstellar clouds. At present they can form the gravitationally captured haloes around stars like the family of solar comets. The comet paradigm has been used to understand various aspects of PBH. Comet collisions with the Sun and planets are ordinary events in solar system history. On the analogy, one can support the view that PBH collisions with the parent star may be quite frequent events in its history, too. PBHs are the engines driving gamma-ray bursts when collide with the stars. Entering a stellar atmosphere, PBH is supposed to produce the gamma-ray burst due to accretion with duration from a few tenths of second to a few seconds. It can exhibit the main qualitative features of some GRBs. Their masses are estimated in the range from thousandths to hundredths of the solar mass. I found that these burst sources are isotropically distributed on the sky and are seen from a distance up to 50 ps. In this context one may expect that some short GRBs are observable signatures of primordial black holes in the Universe.

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Bondi accretion in the early universe

Published Paper #: 248

Authors:, Massimo Ricotti,

Journal: Astrophys.J.662:53-61,2007

url: http://arxiv.org/pdf/0706.0864v1.pdf

Abstract: This paper presents a study of quasi-steady spherical accretion in the early Universe, before the formation of the first stars and galaxies. The main motivation is to derive the basic formulas that will be used in a companion paper to calculate the accretion luminosity of primordial black holes and their effect on the cosmic ionization history.   The following cosmological effects are investigated: the coupling of the gas to the CMB photon fluid (i.e., Compton drag), Hubble expansion, and the growth of the dark matter halo seeded by the gravitational potential of the central point mass. The gas equations of motion are solved assuming either a polytropic or an isothermal equation of state. We consider the cases in which the accreting object is a point mass or a spherical dark matter halo with power-law density profile, as predicted by the theory of "secondary infall''. Analytical solutions for the sonic radius and fitting formulas for the accretion rate are provided.   Different accretion regimes exist depending on the mass of the accreting object. If the black hole mass is smaller than 50-100 Msun, gas accretion is unaffected by Compton drag. A point mass and an extended dark halo of equal mass accrete at the same rate if M>5000 Msun, while smaller mass dark halos accrete less efficiently than the equivalent point mass. For masses M>3 x 10^4 Msun, the viscous term due to the Hubble expansion becomes important and the assumption of quasi-steady flow fails. Hence, the steady Bondi solutions transition to the time-dependent self-similar solutions for "cold cosmological infall".

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RC J0311+0507: A Candidate for Superpowerful Radio Galaxies in the Early   Universe at Redshift z=4.514

Published Paper #: 247

Authors:, A. I. Kopylov, W. M. Goss, Yu. N. Pariiskii, N. S. Soboleva, O. V. Verkhodanov, A. V. Temirova, O. P. Zhelenkova,

Journal: Astron.Lett.32:433-438,2006

url: http://arxiv.org/pdf/0705.2971v1.pdf

Abstract: A strong emission line at 6703A has been detected in the optical spectrum for the host galaxy (R=23.1) of the radio source RC J0311+0507 (4C+04.11). This radio galaxy, with a spectral index of 1.31 in the frequency range 365-4850 MHz, is one of the ultrasteep spectrum objects from the deep survey of a sky strip conducted with RATAN-600 in 1980-1981. We present arguments in favor of the identification of this line with Ly\alpha at redshift z=4.514. In this case, the object belongs to the group of extremely distant radio galaxies of ultrahigh radio luminosity (P_{1400}=1.3 x 10^{29}W Hz^{-1}). Such power can be provided only by a fairly massive black hole (~10^9M_\sun}) that formed in a time less than the age of the Universe at the observed z(1.3 Gyr) or had a primordial origin.

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Scalar perturbations in braneworld cosmology

Published Paper #: 246

Authors:, Antonio Cardoso, Takashi Hiramatsu, Kazuya Koyama, Sanjeev S. Seahra,

Journal: JCAP 0707:008,2007

url: http://arxiv.org/pdf/0705.1685v1.pdf

Abstract: We study the behaviour of scalar perturbations in the radiation-dominated era of Randall-Sundrum braneworld cosmology by numerically solving the coupled bulk and brane master wave equations. We find that density perturbations with wavelengths less than a critical value (set by the bulk curvature length) are amplified during horizon re-entry. This means that the radiation era matter power spectrum will be at least an order of magnitude larger than the predictions of general relativity (GR) on small scales. Conversely, we explicitly confirm from simulations that the spectrum is identical to GR on large scales. Although this magnification is not relevant for the cosmic microwave background or measurements of large scale structure, it will have some bearing on the formation of primordial black holes in Randall-Sundrum models.

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Ratios of star cluster core and half-mass radii: a cautionary note on   intermediate-mass black holes in star clusters

Published Paper #: 245

Authors:, Jarrod R. Hurley,

Journal: Mon.Not.Roy.Astron.Soc.379:93-99,2007

url: http://arxiv.org/pdf/0705.0748v1.pdf

Abstract: There is currently much interest in the possible presence of intermediate-mass black holes in the cores of globular clusters. Based on theoretical arguments and simulation results it has previously been suggested that a large core radius -- or particularly a large ratio of the core radius to half-mass radius -- is a promising indicator for finding such a black hole in a star cluster. In this study N-body models of 100000 stars with and without primordial binaries are used to investigate the long-term structural evolution of star clusters. Importantly, the simulation data is analysed using the same processes by which structural parameters are extracted from observed star clusters. This gives a ratio of the core and half-mass (or half-light) radii that is directly comparable to the Galactic globular cluster sample. As a result, it is shown that the ratios observed for the bulk of this sample can be explained without the need for an intermediate-mass black hole. Furthermore, it is possible that clusters with large core to half-light radius ratios harbour a black-hole binary (comprised of stellar mass black holes) rather than a single massive black hole. This work does not rule out the existence of intermediate-mass black holes in the cores of at least some star clusters.

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Local radiative feedback in the formation of the first protogalaxies

Published Paper #: 244

Authors:, Jarrett L. Johnson, Thomas H. Greif, Volker Bromm,

Journal: Astrophys.J.665:85-95,2007

url: http://arxiv.org/pdf/astro-ph/0612254v3.pdf

Abstract: The formation of the first galaxies is influenced by the radiative feedback from the first generations of stars. This feedback is manisfested by the heating and ionization of the gas which lies within the H II regions surrounding the first stars, as well as by the photodissociation of hydrogen molecules within the larger Lyman-Werner (LW) bubbles that surround these sources. Using a ray-tracing method in three-dimensional cosmological simulations, we self-consistently track the formation of, and radiative feedback from, individual stars in the course of the formation of a protogalaxy. We compute in detail the H II regions of each of these sources, as well as the regions affected by their molecule-dissociating radiation. We follow the thermal, chemical, and dynamical evolution of the primordial gas, as it becomes incorporated into the protogalaxy. While the IGM is, in general, optically thick to LW photons only over physical distances of > 30 kpc at redshifts z < 20, the high molecule fraction that is built up in relic H II regions and their increasing volume-filling fraction renders even the local IGM optically thick to LW photons over physical distances of the order of a few kiloparsecs. We find that efficient accretion onto Population III relic black holes may occur after ~ 60 Myr from the time of their formation, by which time the photo-heated relic H II region gas can cool and re-collapse into the 10^6 M_solar minihalo which hosts the black hole. Also, Pop II.5 stars, postulated to have masses of the order of 10 M_solar, can likely form from this re-collapsing relic H II region gas. Overall, we find that the local radiative feedback from the first generations of stars suppresses the star formation rate by only a factor of, at most, a few.

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The effect of stellar-mass black holes on the structural evolution of   massive star clusters

Published Paper #: 243

Authors:, A. D. Mackey, M. I. Wilkinson, M. B. Davies, G. F. Gilmore,

Journal: Mon.Not.Roy.Astron.Soc.Lett.379:L40-L44,2007

url: http://arxiv.org/pdf/0704.2494v1.pdf

Abstract: We present the results of realistic N-body modelling of massive star clusters in the Magellanic Clouds, aimed at investigating a dynamical origin for the radius-age trend observed in these systems. We find that stellar-mass black holes, formed in the supernova explosions of the most massive cluster stars, can constitute a dynamically important population. If a significant number of black holes are retained (here we assume complete retention), these objects rapidly form a dense core where interactions are common, resulting in the scattering of black holes into the cluster halo, and the ejection of black holes from the cluster. These two processes heat the stellar component, resulting in prolonged core expansion of a magnitude matching the observations. Significant core evolution is also observed in Magellanic Cloud clusters at early times. We find that this does not result from the action of black holes, but can be reproduced by the effects of mass-loss due to rapid stellar evolution in a primordially mass segregated cluster.

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Astrophysical and Cosmological Tests of Quantum Theory

Published Paper #: 242

Authors:, Antony Valentini,

Journal: J. Phys. A: Math. Theor. 40 (2007) 3285--3303

url: http://arxiv.org/pdf/hep-th/0610032v2.pdf

Abstract: We discuss several proposals for astrophysical and cosmological tests of quantum theory. The tests are motivated by deterministic hidden-variables theories, and in particular by the view that quantum physics is merely an effective theory of an equilibrium state. The proposed tests involve searching for nonequilibrium violations of quantum theory in: primordial inflaton fluctuations imprinted on the cosmic microwave background, relic cosmological particles, Hawking radiation, photons with entangled partners inside black holes, neutrino oscillations, and particles from very distant sources.

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Power Spectrum of the Density Perturbations From Smooth Hybrid New   Inflation Model

Published Paper #: 241

Authors:, Masahiro Kawasaki, Tsutomu Takayama, Masahide Yamaguchi, Jun'ichi Yokoyama,

Journal: Phys.Rev.D74:043525,2006

url: http://arxiv.org/pdf/hep-ph/0605271v3.pdf

Abstract: We numerically investigate density perturbations generated in the smooth hybrid new inflation model, a kind of double inflation model that is designed to reproduce the running spectral index suggested by the WMAP results. We confirm that this model provides the running spectral index within 1sigma range of the three year WMAP result. In addition, we find a sharp and strong peak on the spectrum of primordial curvature perturbation at small scales. This originates from amplification of fluctuation in the first inflaton fields due to parametric resonance, which takes place in the oscillatory phase between two inflationary regime. Formation probability of primordial black holes (PBHs) is discussed as a consequence of such peak.

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Child universes UV regularization?

Published Paper #: 240

Authors:, E. I. Guendelman,

Journal: Int.J.Mod.Phys.D17:551-555,2008

url: http://arxiv.org/pdf/gr-qc/0703105v2.pdf

Abstract: It is argued that high energy density excitations, responsible for UV divergences in quantum field theories, including quantum gravity, are likely to be the source of child universes which carry them out of the original space time. This decoupling prevents these high UV excitations from having any influence on physical amplitudes. Child universe production could therefore be responsible for UV regularization in quantum field theories which takes into account gravitational effects. Also child universe production in the last stages of black hole evaporation, the prediction of absence of tranplanckian primordial perturbations, connection to the minimum length hypothesis and in particular connection to the maximal curvature hypothesis are discussed.

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Dark Matter in an n-Space Expanding Universe

Published Paper #: 239

Authors:, Mario Rabinowitz,

Journal: Adv.Stud.Theor.Phys.1:5-27,2007

url: http://arxiv.org/pdf/astro-ph/0701358v2.pdf

Abstract: The total number of degrees of freedom of a d-dimensional body in n-space is derived so that equipartition of energy may be applied to a possibly n-dimensional early universe. A comparison is made of a range of proposals to include free and bound black holes as either a small component or the dominant constituent of dark matter in the universe. The hypothesis that dark matter consists in part of atomic gravitationally bound primordial black holes is closely examined in 3-space, as well as in n-space; and the Chavda and Chavda holeum hypothesis is found to be flawed. Blackbody and Hawking radiation are generalized to n-space, and Hawking radiation is shown to be simply proportional to the black hole density. The importance of quantum gravity in understanding the role of early universe dark matter is undermined because present approaches to a theory of quantum gravity violate the equivalence principle. A general heuristic proof for geodesics on an expanding hypersphere is presented. Classical limits of Einstein's General Relativity are considered. A novel approach to the accelerated expansion of the universe is discussed. An anomalous surprising aspect of 4-space is demonstrated.

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Diversity of universes created by pure gravity

Published Paper #: 238

Authors:, K. A. Bronnikov, R. V. Konoplich, S. G. Rubin,

Journal: Class.Quant.Grav.24:1261-1278,2007

url: http://arxiv.org/pdf/gr-qc/0610003v2.pdf

Abstract: We show that a number of problems of modern cosmology may be solved in the framework of multidimensional gravity with high-order curvature invariants, without invoking other fields. We use a method employing a slow-change approximation, able to work with rather a general form of the gravitational action, and consider Kaluza-Klein type space-times with one or several extra factor spaces. A vast choice of effective theories suggested by the present framework may be stressed: even if the initial Lagrangian is entirely fixed, one obtains quite different models for different numbers, dimensions and topologies of the extra factor spaces. As examples of problems addressed we consider (i) explanation of the present accelerated expansion of the Universe, with a reasonably small cosmological constant, and the problem of its fine tuning is considered from a new point of view; (ii) the mechanism of closed wall production in the early Universe; such walls are necessary for massive primordial black hole formation which is an important stage in some scenarios of cosmic structure formation; (iii) sufficient particle production rate at the end of inflation; (iv) it is shown that our Universe may contain spatial domains with a macroscopic size of extra dimensions. We also discuss chaotic attractors appearing at possible nodes of the kinetic term of the effective scalar field Lagrangian.

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Constraints on the primordial curvature perturbation from primordial   black holes

Published Paper #: 237

Authors:, Ignacio Zaballa, Anne M. Green, Karim A. Malik, Misao Sasaki,

Journal: JCAP 0703:010,2007

url: http://arxiv.org/pdf/astro-ph/0612379v2.pdf

Abstract: We calculate the constraints on the primordial curvature perturbation at the end of inflation from the present day abundance of Primordial Black Holes (PBHs), as a function of the reheat temperature T_{\rm RH}. We first extend recent work on the formation of PBHs on scales which remain within the horizon during inflation and calculate the resulting constraints on the curvature perturbation. We then evaluate the constraint from PBHs that form, more conventionally, from super-horizon perturbations. The constraints apply for T_{\rm RH} < 10^{8} GeV and the inclusion of sub-horizon PBHs leads to a limit which is roughly three times tighter than the bound from super-horizon PBHs.

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Searching for primordial black hole dark matter with pulsar timing   arrays

Published Paper #: 236

Authors:, Naoki Seto, Asantha Cooray,

Journal: Astrophys.J.659:L33-L36,2007

url: http://arxiv.org/pdf/astro-ph/0702586v1.pdf

Abstract: We discuss the possibility of detecting the presence of primordial black holes (PBHs), such as those that might account for galactic dark matter, using modification of pulsar timing residuals when PBHs pass within ~1000 AU and impart impulse accelerations to the Earth. With this technique, PBHs with masses around 10^{25} g (~0.1 lunar mass) can be detected. Currently, the constraints on the abundance of such dark matter candidates are weak. A 30 year-long monitoring campaign with the proposed Square Kilometer Array (SKA) can rule out a PBH fraction more than ~1/10 in the solar neighborhood in the form of dark matter with mass ~10^{25} g.

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On the dynamical formation of accreting intermediate mass black holes

Published Paper #: 235

Authors:, A. G. Kuranov, S. B. Popov, K. A. Postnov, M. Volonteri, R. Perna,

Journal: Mon.Not.Roy.Astron.Soc.377:835-842,2007

url: http://arxiv.org/pdf/astro-ph/0702525v1.pdf

Abstract: We compute the probability that intermediate mass black holes (IMBHs) capture companions due to dynamical interactions and become accreting sources, and explore the possibility that the accreting IMBHs would appear as ultra-luminous X-ray sources (ULXs). We focus on IMBHs originating from low-metallicity Population III stars. Two channels of IMBH formation are considered: from primordial halos in the framework of hierarchical clustering, and from non-mixed, zero-metallicity primeval gas in galactic discs. IMBHs can form binary systems due to tidal captures of single stars and exchange interactions with existing binary systems in galactic discs. We find that neither formation mechanism of the accreting IMBH binary is able to provide enough sources to explain the observed population of ULXs. Even at sub-ULX luminosity, the total number of accreting IMBHs with $L> 10^{36}$ erg s$^{-1}$ with dynamically captured companions is found to be $< 0.01$ per galaxy.

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Microscopic primordial black holes and extra dimensions

Published Paper #: 234

Authors:, John A. Conley, Tommer Wizansky,

Journal: Phys.Rev.D75:044006,2007

url: http://arxiv.org/pdf/hep-ph/0611091v3.pdf

Abstract: We examine the production and evolution of microscopic black holes in the early universe in the large extra dimensions scenario. We demonstrate that, unlike in the standard four-dimensional cosmology, in large extra dimensions absorption of matter from the primordial plasma by the black holes is significant and can lead to rapid growth of the black hole mass density. This effect can be used to constrain the conditions present in the very early universe. We demonstrate that this constraint is applicable in regions of parameter space not excluded by existing bounds.

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A Possible Mechanism for Production of Primordial Black Holes

Published Paper #: 233

Authors:, Kourosh Nozari,

Journal: Astropart.Phys.27:169-173,2007

url: http://arxiv.org/pdf/hep-th/0701274v1.pdf

Abstract: Primordial Black Hole Remnants(PBHRs) can be considered as a primary source of cold dark matter. Hybrid inflation provides a possible framework for production of primordial black holes(PBHs) and these PBHs evaporate subsequently to produce PBHRs. In this paper we provide another framework for production of these PBHs. Using signature changing cosmological model and the generalized uncertainty principle as our primary inputs, first we find a geometric cosmological constant for early stage of universe evolution. This geometric cosmological constant can lead to heavy vacuum density which may be interpreted as a source of PBHs production during the inflationary phase. In the next step, since it is possible in general to have non-vanishing energy-momentum tensor for signature changing hypersurface, this non-vanishing energy-momentum tensor can be considered as a source of PBHs production. These PBHs then evaporate via the Hawking process to produce PBHRs. Finally, possible observational schemes for detecting relics of these PBHRs are discussed.

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Accuracy of slow-roll formulae for inflationary perturbations:   implications for primordial black hole formation

Published Paper #: 232

Authors:, Sirichai Chongchitnan, George Efstathiou,

Journal: JCAP 0701:011,2007

url: http://arxiv.org/pdf/astro-ph/0611818v2.pdf

Abstract: We investigate the accuracy of the slow-roll approximation for calculating perturbation spectra generated during inflation. The Hamilton-Jacobi formalism is used to evolve inflationary models with different histories. Models are identified for which the scalar power spectra computed using the Stewart-Lyth slow-roll approximation differ from exact numerical calculations using the Mukhanov perturbation equation. We then revisit the problem of primordial black holes generated by inflation. Hybrid-type inflationary models, in which the inflaton is trapped in the minimum of a potential, can produce blue power spectra and an observable abundance of primordial black holes. However, this type of model can now be firmly excluded from observational constraints on the scalar spectral index on cosmological scales. We argue that significant primordial black hole formation in simple inflation models requires contrived potentials in which there is a period of fast roll towards the end of inflation. For this type of model, the Stewart-Lyth formalism breaks down. Examples of such inflationary models and numerical computations of their scalar fluctuation spectra are presented.

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Photon mass and electrogenesis

Published Paper #: 231

Authors:, Alexander Dolgov, Diego N. Pelliccia,

Journal: Phys.Lett.B650:97-102,2007

url: http://arxiv.org/pdf/hep-ph/0610421v3.pdf

Abstract: We show that if photon possesses a tiny but non-vanishing mass the universe cannot be electrically neutral. Cosmological electric asymmetry could be generated either at an early stage by different evaporation rates of primordial black holes with respect to positively and negatively charged particles or by predominant capture of protons in comparison to electrons by heavy galactic black holes in contemporary universe. An impact of this phenomenon on the generation of large scale magnetic fields and on the universe acceleration is considered.

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Is Radiation of Quantized Black Holes Observable?

Published Paper #: 230

Authors:, I. B. Khriplovich, N. Produit,

Journal: Int.J.Mod.Phys.D16:1243-1248,2007

url: http://arxiv.org/pdf/astro-ph/0604003v2.pdf

Abstract: If primordial black holes (PBH) saturate the present upper limit on the dark matter density in our Solar system and if their radiation spectrum is discrete, the sensitivity of modern detectors is close to that necessary for detecting this radiation. This conclusion is not in conflict with the upper limits on the PBH evaporation rate.

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Heating of the Intergalactic Medium by Primordial Miniquasars

Published Paper #: 229

Authors:, Saleem Zaroubi, Rajat M. Thomas, Naoshi Sugiyama, Joe Silk,

Journal: Mon.Not.Roy.Astron.Soc.375:1269-1279,2007

url: http://arxiv.org/pdf/astro-ph/0609151v2.pdf

Abstract: A simple analytical model is used to calculate the X-ray heating of the IGM for a range of black hole masses. This process is efficient enough to decouple the spin temperature of the intergalactic medium from the cosmic microwave background (CMB) temperature and produce a differential brightness temperature of the order of $\sim 5-20 \mathrm{mK}$ out to distances as large as a few co-moving Mpc, depending on the redshift, black hole mass and lifetime. We explore the influence of two types of black holes, those with and without ionising UV radiation. The results of the simple analytical model are compared to those of a full spherically symmetric radiative transfer code. Two simple scenarios are proposed for the formation and evolution of black hole mass density in the Universe. The first considers an intermediate mass black hole that form as an end-product of Population III stars, whereas the second considers super-massive black holes that form directly through the collapse of massive halos with low spin parameter. These scenarios are shown not to violate any of the observational constraints, yet produce enough X-ray photons to decouple the spin-temperature from that of the CMB. This is an important issue for future high redshift 21 cm observations.

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The aftermath of the first stars: massive black holes

Published Paper #: 228

Authors:, Jarrett L. Johnson, Volker Bromm,

Journal: Mon.Not.Roy.Astron.Soc.374:1557-1568,2007

url: http://arxiv.org/pdf/astro-ph/0605691v2.pdf

Abstract: We investigate the evolution of the primordial gas surrounding the first massive black holes formed by the collapse of Population III stars at redshifts z > 20. Carrying out three-dimensional hydrodynamical simulations using GADGET, we study the dynamical, thermal and chemical evolution of the first relic H II regions. We also carry out simulations of the mergers of relic H II regions with neighboring neutral minihaloes, which contain high density primordial gas that can accrete onto a Pop III remnant black hole. We find that there may have been a significant time delay, of order ~10^8 yr, between black hole formation and the onset of efficient accretion. The build-up of supermassive black holes, believed to power the z > 6 quasars observed in the Sloan Digital Sky Survey, therefore faces a crucial early bottleneck. More massive seed black holes may thus be required, such as those formed by the direct collapse of a primordial gas cloud facilitated by atomic line cooling. The high optical depth to Lyman-Werner (LW) photons that results from the high fraction of H_2 molecules that form in relic H II regions, combined with the continued formation of H_2 inside the dynamically expanding relic H II region, leads to shielding of the molecules inside these regions at least until a critical background LW flux of \~10^{-24} ergs s^{-1} cm^{-2} Hz^{-1} sr^{-1}, is established. Furthermore, we find that a high fraction of HD molecules, X_{HD} > 10^{-7}, is formed, potentially enabling the formation of Pop II.5 stars during later stages of structure formation when the relic H II region gas is assembled into a sufficiently deep potential well to gravitationally confine the gas again.

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Stochastic Gravity: Beyond Semiclassical Gravity

Published Paper #: 227

Authors:, E. Verdaguer,

Journal: J.Phys.Conf.Ser.66:012006,2007

url: http://arxiv.org/pdf/gr-qc/0611051v1.pdf

Abstract: The back-reaction of a classical gravitational field interacting with quantum matter fields is described by the semiclassical Einstein equation, which has the expectation value of the quantum matter fields stress tensor as a source. The semiclassical theory may be obtained from the quantum field theory of gravity interacting with N matter fields in the large N limit. This theory breaks down when the fields quantum fluctuations are important. Stochastic gravity goes beyond the semiclassical limit and allows for a systematic and self-consistent description of the metric fluctuations induced by these quantum fluctuations. The correlation functions of the metric fluctuations obtained in stochastic gravity reproduce the correlation functions in the quantum theory to leading order in an 1/N expansion. Two main applications of stochastic gravity are discussed. The first, in cosmology, to obtain the spectrum of primordial metric perturbations induced by the inflaton fluctuations, even beyond the linear approximation. The second, in black hole physics, to study the fluctuations of the horizon of an evaporating black hole.

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Low mass X-ray binaries with pre-main sequence companions

Published Paper #: 226

Authors:, Natalia Ivanova,

Journal: Astrophys.J.653:L137-L140,2006

url: http://arxiv.org/pdf/astro-ph/0611235v1.pdf

Abstract: In this Letter we examine the idea that a subset of short-period black-hole low-mass X-ray binaries could be powered by the mass transfer from pre-main sequence donors. As the star contracts towards the main sequence, the strong magnetic fields operate the magnetic braking which dissipates the orbital angular momentum, driving the binary to contact. We show that the periods and apparent donor spectral classes of the X-ray binaries with a pre-main sequence donor agree better with the available observations of black hole X-ray binaries than those of binaries with a main-sequence donor. This mechanism also explains, without the need for additional hypotheses, the roughly primordial abundance of Li detected in donor companions of black hole X-ray candidates in our Galaxy.

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Is there a black hole minimum mass?

Published Paper #: 225

Authors:, Tomohiro Harada,

Journal: Phys.Rev.D74:084004,2006

url: http://arxiv.org/pdf/gr-qc/0609055v2.pdf

Abstract: Applying the first and generalised second laws of thermodynamics for a realistic process of near critical black hole formation, we derive an entropy bound, which is identical to Bekenstein's one for radiation. Relying upon this bound, we derive an absolute minimum mass $\sim0.04 \sqrt{g_{*}}m_{\rm Pl}$, where $g_{*}$ and $m_{\rm Pl}$ is the effective degrees of freedom for the initial temparature and the Planck mass, respectively. Since this minimum mass coincides with the lower bound on masses of which black holes can be regarded as classical against the Hawking evaporation, the thermodynamical argument will not prohibit the formation of the smallest classical black hole. For more general situations, we derive a minimum mass, which may depend on the initial value for entropy per particle. For primordial black holes, however, we show that this minimum mass can not be much greater than the Planck mass at any formation epoch of the Universe, as long as $g_{*}$ is within a reasonable range. We also derive a size-independent upper bound on the entropy density of a stiff fluid in terms of the energy density.

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Star Cluster Ecology: VII The evolution of young dense star clusters   containing primordial binaries

Published Paper #: 224

Authors:, Simon Portegies Zwart, Steve McMillan, Jun Makino,

Journal: Mon.Not.Roy.Astron.Soc.374:95-106,2007

url: http://arxiv.org/pdf/astro-ph/0607461v2.pdf

Abstract: We study the first 100Myr of the evolution of isolated star clusters initially containing 144179 stars, including 13107 (10%) primordial hard binaries. Our calculations include the effects of both stellar and binary evolution. Gravitational interactions among the stars are computed by direct N-body integration using high precision GRAPE-6 hardware. The evolution of the core radii and central concentrations of our simulated clusters are compared with the observed sample of young (about 100Myr) star clusters in the large Magellanic cloud. Even though our simulations start with a rich population of primordial binaries, core collapse during the early phase of the cluster evolution is not prevented. Throughout the simulations, the fraction of binaries remains roughly constant (about 10%). Due to the effects of mass segregation the mass function of intermediate-mass main-sequence stars becomes as flat as $\alpha=-1.8$ in the central part of the cluster (where the initial Salpeter mass function had $\alpha=-2.35$). About 6--12% of the neutron stars were retained in our simulations; the fraction of retained black holes is 40--70%. In each simulation about three neutron stars become members of close binaries with a main-sequence companion. Such a binary will eventually become an x-ray binary, when the main-sequence star starts to fill its Roche lobe. Black holes are found more frequently in binaries; in each simulated cluster we find about 11 potential x-ray binaries containing a black hole. Abstract abbreviated....

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The Role of Primordial Kicks on Black Hole Merger Rates

Published Paper #: 223

Authors:, Miroslav Micic, Tom Abel, Steinn Sigurdsson,

Journal: ECONF C041213:1216,2004; Mon.Not.Roy.Astron.Soc.372:1540-1548,2006

url: http://arxiv.org/pdf/astro-ph/0512123v2.pdf

Abstract: Primordial stars are likely to be very massive $\geq30\Msun$, form in isolation, and will likely leave black holes as remnants in the centers of their host dark matter halos in the mass range   $10^{6}-10^{10}\Ms$. Such early black holes, at redshifts z$\gtsim10$, could be the seed black holes for the many supermassive black holes found in galaxies in the local universe. If they exist, their mergers with nearby supermassive black holes may be a prime signal for long wavelength gravitational wave detectors. We simulate formation of black holes in the center of high redshift dark matter halos and explore implications of initial natal kick velocities conjectured by some formation models. The central concentration of early black holes in present day galaxies is reduced if they are born even with moderate kicks of tens of km/s. The modest kicks allow the black holes to leave their parent halo, which consequently leads to dynamical friction being less effective on the lower mass black holes as compared to those still embedded in their parent halos. Therefore, merger rates may be reduced by more than an order of magnitude. Using analytical and illustrative cosmological N--body simulations we quantify the role of natal kicks of black holes formed from massive metal free stars on their merger rates with supermassive black holes in present day galaxies. Our results also apply to black holes ejected by the gravitational slingshot mechanism.

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The MODEST questions: challenges and future directions in stellar   cluster research

Published Paper #: 222

Authors:, Melvyn B. Davies, Pau Amaro-Seoane, Cees Bassa, Jim Dale, Francesca De Angeli, Marc Freitag, Pavel Kroupa, Dougal Mackey, M. Coleman Miller, Simon Portegies Zwart,

Journal: New Astron. 12 (2006) 201-214

url: http://arxiv.org/pdf/astro-ph/0608668v1.pdf

Abstract: We present a review of some of the current major challenges in stellar cluster research, including young clusters, globular clusters, and galactic nuclei. Topics considered include: primordial mass segregation and runaway mergers, expulsion of gas from clusters, the production of stellar exotica seen in some clusters (eg blue stragglers and extreme horizontal--branch stars), binary populations within clusters, the black--hole population within stellar clusters, the final parsec problem, stellar dynamics around a massive black hole, and stellar collisions. The Modest Questions posed here are the outcome of discussions which took place at the Modest-6A workshop held in Lund, Sweden, in December, 2005. Modest-6A was organised as part of the activities of the Modest Collaboration (see www.manybody.org for further details)

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Growth of structure seeded by primordial black holes

Published Paper #: 221

Authors:, Katherine J. Mack, Jeremiah P. Ostriker, Massimo Ricotti,

Journal: Astrophys.J.665:1277-1287,2007

url: http://arxiv.org/pdf/astro-ph/0608642v1.pdf

Abstract: We discuss the possibilities for primordial black holes (PBHs) to grow via the accretion of dark matter. In agreement with previous works, we find that accretion during the radiation-dominated era does not lead to a significant mass increase. However, during matter-domination, PBHs may grow by up to two orders of magnitude in mass through the acquisition of large dark matter halos. We discuss the possibility of PBHs being an important component in dark matter halos of galaxies as well as their potential to explain the ultra-luminous x-ray sources (ULXs) observed in nearby galactic disks. We point out that although PBHs are ruled out as the dominant component of dark matter, there is still a great deal of parameter space open to them playing a role in the modern-day universe. For example, a primordial halo population of PBHs each at $10^{2.5} M_\odot$ making up 0.1% of the dark matter grow to $10^{4.5} M_\odot$ via the accumulation of dark matter halos to account for $\sim 10%$ of the dark matter mass by a redshift of $z \approx 30$. These intermediate mass black holes may then ``light up'' when passing through molecular clouds, becoming visible as ULXs at the present day, or they may form the seeds for supermassive black holes at the centers of galaxies.

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Primordial Black Hole Minimum Mass

Published Paper #: 220

Authors:, James R. Chisholm,

Journal: Phys.Rev. D74 (2006) 043512

url: http://arxiv.org/pdf/astro-ph/0604174v2.pdf

Abstract: In this paper we revisit thermodynamic constraints on primordial black hole (PBH) formation in the early universe. Under the assumption that PBH mass is equal to the cosmological horizon mass, one can use the 2nd Law of Thermodynamics to put a lower limit on the PBH mass. In models of PBH formation, however, PBHs are created at some fraction of the horizon mass. We show that this thermodynamic constraint still holds for sub-horizon PBH formation.

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Pregalactic Black Hole Formation with an Atomic Hydrogen Equation of   State

Published Paper #: 219

Authors:, Marco Spaans, Joseph Silk,

Journal: Astrophys.J.652:902-906,2006

url: http://arxiv.org/pdf/astro-ph/0601714v2.pdf

Abstract: The polytropic equation of state of an atomic hydrogen gas is examined for primordial halos with baryonic masses of M_h~10^7-10^9 Mo. For roughly isothermal collapse around 10^4 K, we find that line trapping of Lyman alpha (HI and HeII) photons causes the polytropic exponent to stiffen to values significantly above unity. Under the assumptions of zero H2 abundance and very modest pollution by metals (<10^-4 Solar), fragmentation is likely to be inhibited for such an equation of state. We argue on purely thermodynamic grounds that a single black hole of ~0.02-0.003M_h can form at the center of a halo for z=10-20 when the free-fall time is less than the time needed for a resonantly scattered Lyman alpha photon to escape from the halo. The absence of H2 follows naturally from the high, 10^4 K, temperatures that are attained when Lyman alpha photons are trapped in the dense and massive halos that we consider. An H2 dissociating UV background is needed if positive feedback effects on H2 formation from X-rays occur. The black hole to baryon mass fraction is suggestively close to what is required for these intermediate mass black holes, of mass M_BH~10^4-10^6 Mo, to act as seeds for forming the supermassive black holes of mass ~0.001M_spheroid found in galaxies today.

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Comparison of VSB from BATSE, KONUS and Swift

Published Paper #: 218

Authors:, D. B. Cline, C. Matthey, S. Otwinowski, B. Czerny, A. Janiuk,

Journal: AIP Conf.Proc.921:280-283,2007; Nuovo Cim.B121:1443-1448,2006

url: http://arxiv.org/pdf/astro-ph/0608158v1.pdf

Abstract: We show the locations of the SWIFT short hard bursts (SHB) with afterglows on the Galactic map and compare with the very short bursts (VSB) BATSE events. As we have pointed out before, there is an excess of events in the Galactic map of BATSE VSB events. We note, that none of VSB SWIFT era events fall into this cluster. More SWIFT events are needed to check this claim. We also report a new study with KONUS data of the VSB sample with an average energy above 90 keV showing a clear excess of events below 100 ms duration (T_90) that have large mean energy photons. We suggest that VSB themselves consists of two subclasses: a fraction of events have peculiar distribution properties and have no detectable counter parts, as might be expected for exotic sources such as Primordial Black Holes.

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A template bank to search for gravitational waves from inspiralling   compact binaries I: physical models

Published Paper #: 217

Authors:, S. Babak, R. Balasubramanian, D. Churches, T. Cokelaer, B. S. Sathyaprakash,

Journal: Class.Quant.Grav. 23 (2006) 5477-5504

url: http://arxiv.org/pdf/gr-qc/0604037v5.pdf

Abstract: Gravitational waves from coalescing compact binaries are searched using the matched filtering technique. As the model waveform depends on a number of parameters, it is necessary to filter the data through a template bank covering the astrophysically interesting region of the parameter space. The choice of templates is defined by the maximum allowed drop in signal-to-noise ratio due to the discreteness of the template bank. In this paper we describe the template-bank algorithm that was used in the analysis of data from the Laser Interferometer Gravitational Wave Observatory (LIGO) and GEO 600 detectors to search for signals from binaries consisting of non-spinning compact objects. Using Monte-Carlo simulations, we study the efficiency of the bank and show that its performance is satisfactory for the design sensitivity curves of ground-based interferometric gravitational wave detectors GEO 600, initial LIGO, advanced LIGO and Virgo. The bank is efficient to search for various compact binaries such as binary primordial black holes, binary neutron stars, binary black holes, as well as a mixed binary consisting of a non-spinning black hole and a neutron star.

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Curvature profiles as initial conditions for primordial black hole   formation

Published Paper #: 216

Authors:, Alexander G. Polnarev, Ilia Musco, .,

Journal: Class.Quant.Grav.24:1405-1432,2007

url: http://arxiv.org/pdf/gr-qc/0605122v4.pdf

Abstract: This work is part of an ongoing research programme to study possible Primordial Black Hole (PBH) formation during the radiation dominated era of the early universe. Working within spherical symmetry, we specify an initial configuration in terms of a curvature profile, which represents initial conditions for the large amplitude metric perturbations, away from the homogeneous Friedmann Robertson Walker model, which are required for PBH formation. Using an asymptotic quasi-homogeneous solution, we relate the curvature profile with the density and velocity fields, which at an early enough time, when the length scale of the configuration is much larger than the cosmological horizon, can be treated as small perturbations of the background values. We present general analytic solutions for the density and velocity profiles. These solutions enable us to consider in a self-consistent way the formation of PBHs in a wide variety of cosmological situations with the cosmological fluid being treated as an arbitrary mixture of different components with different equations of state. We show that the analytical solutions for the density and velocity profiles as functions of the initial time are pure growing modes. We then use two different parametrisation for the curvature profile and follow numerically the evolution of a range of initial configuration.

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Non-existence of self-similar solutions containing a black hole in a   universe with a stiff fluid or scalar field or quintessence

Published Paper #: 215

Authors:, Tomohiro Harada, Hideki Maeda, B. J. Carr,

Journal: Phys.Rev.D74:024024,2006

url: http://arxiv.org/pdf/astro-ph/0604225v3.pdf

Abstract: We consider the possible existence of self-similar solutions containing black holes in a Friedmann background with a stiff fluid or a scalar field. We carefully study the relationship between the self-similar equations in these two cases and emphasize the crucial role of the similarity horizon. We show that there is no self-similar black hole solution surrounded by an exact or asymptotically flat Friedmann background containing a massless scalar field. This result also applies for a scalar field with a potential, providing the universe is decelerating. However, if there is a potential and the universe is accelerating (as in the quintessence scenario), the result only applies for an exact Friedmann background. This extends the result previously found in the stiff fluid case and strongly suggests that accretion onto primordial black holes is ineffective even during scalar field domination. It also contradicts recent claims that such black holes can grow appreciably by accreting quintessence. Appreciable growth might be possible with very special matter fields but this requires {\it ad hoc} and probably unphysical conditions.

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Inflationary spectra and violations of Bell inequalities

Published Paper #: 214

Authors:, David Campo, Renaud Parentani,

Journal: Phys.Rev. D74 (2006) 025001

url: http://arxiv.org/pdf/astro-ph/0505376v3.pdf

Abstract: In spite of the macroscopic character of the primordial fluctuations, the standard inflationary distribution (that obtained using linear mode equations) exhibits inherently quantum properties, that is, properties which cannot be mimicked by any stochastic distribution. This is demonstrated by a Gedanken experiment for which certain Bell inequalities are violated. These violations are {\it in principle} measurable because, unlike for Hawking radiation from black holes, in inflationary cosmology we can have access to both members of correlated pairs of modes delivered in the same state. We then compute the effect of decoherence and show that the violations persist provided the decoherence level (and thus the entropy) lies below a certain non-vanishing threshold. Moreover, there exists a higher threshold above which no violation of any Bell inequality can occur. In this regime, the distributions are ``separable'' and can be interpreted as stochastic ensembles of fluctuations. Unfortunately, the precision which is required to have access to the quantum properties is so high that, {\it in practice}, an observational verification seems excluded.

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Supermassive black hole formation during the assembly of pre-galactic   discs

Published Paper #: 213

Authors:, Giuseppe Lodato, Priya Natarajan,

Journal: Mon.Not.Roy.Astron.Soc.371:1813-1823,2006

url: http://arxiv.org/pdf/astro-ph/0606159v1.pdf

Abstract: In this paper we discuss the evolution of gravitationally unstable pre-galactic discs that result from the collapse of haloes at high redshift $z \approx 10$ or so, which have not yet been enriched by metals. In cases where molecular hydrogen formation is suppressed the discs are maintained at a temperature of a few thousand degrees Kelvin. However, when molecular hydrogen is present cooling can proceed down to a few hundred degrees Kelvin. Analogous to the case of the larger scale proto-galactic discs, we assume that the evolution of these discs is mainly driven by angular momentum redistribution induced by the development of gravitational instabilities in the disc. We also properly take into account the possibility of disc fragmentation. We thus show that this simple model naturally predicts the formation of supermassive black holes in the nuclei of such discs and provides a robust determination of their mass distribution as a function of halo properties. We estimate that roughly 5% of discs resulting from the collapse of haloes with $M\approx 10^7 M_{\odot}$ should host a massive black hole with a mass $M_{\rm BH}\approx 10^5 M_{\odot}$. We confirm our arguments with time-dependent calculations of the evolution of the surface density and of the accretion rate in these primordial discs. This mechanism offers an efficient way to form seed black holes at high redshift. The predicted masses for our black hole seeds enable the comfortable assembly of $10^9 M_{\odot}$ black holes powering the luminous quasars detected by the Sloan Digital Sky Survey at $z = 6$ for a concordance cosmology. (abridged)

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Mass spectrum of primordial black holes from inflationary perturbation   in the Randall-Sundrum braneworld: a limit on blue spectra

Published Paper #: 212

Authors:, Yuuiti Sendouda, Shigehiro Nagataki, Katsuhiko Sato,

Journal: JCAP0606:003,2006

url: http://arxiv.org/pdf/astro-ph/0603509v2.pdf

Abstract: The mass spectrum of the primordial black holes formed by density perturbation in the radiation-dominated era of the Randall-Sundrum type-2 cosmology is given. The spectrum coincides with standard four-dimensional one on large scales but the deviation is apparent on smaller scales. The mass spectrum is initially softer than standard four-dimensional one, while after accretion during the earliest era it becomes harder than that. We also show expected extragalactic diffuse photon background spectra varying the initial perturbation power-law power spectrum and give constraints on the blue spectra and/or the reheating temperature. The most recent observations on the small scale density perturbation from WMAP, SDSS and Lyman-\alpha Forest are used. What we get are interpreted as constraints on the smaller scale inflation on the brane connected to the larger one at the scale of Lyman-\alpha Forest. If we set the bulk curvature radius to be 0.1 mm and assume the reheating temperature is higher than 10^6 GeV, the scalar spectral index from the smaller scale inflation is constrained to be n \lesssim 1.3. Typically, the constraints are tighter than standard four-dimensional one, which is also revised by us using the most recent observations.

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Formalism for testing theories of gravity using lensing by compact   objects. III: Braneworld gravity

Published Paper #: 211

Authors:, Charles R. Keeton, A. O. Petters,

Journal: Phys.Rev. D73 (2006) 104032

url: http://arxiv.org/pdf/gr-qc/0603061v3.pdf

Abstract: Braneworld gravity is a model that endows physical space with an extra dimension. In the type II Randall-Sundrum braneworld gravity model, the extra dimension modifies the spacetime geometry around black holes, and changes predictions for the formation and survival of primordial black holes. We develop a comprehensive analytical formalism for far-field black hole lensing in this model, using invariant quantities to compute all geometric optics lensing observables. We then make the first analysis of wave optics in braneworld lensing, working in the semi-classical limit. We show that wave optics offers the only realistic way to observe braneworld effects in black hole lensing. We point out that if primordial braneworld black holes exist, have mass M, and contribute a fraction f of the dark matter, then roughly 3e5 x f (M/1e-18 Msun)^(-1) of them lie within our Solar System. These objects, which we call "attolenses," would produce interference fringes in the energy spectra of gamma-ray bursts at energies ~100 (M/1e-18 Msun)^(-1) MeV (which will soon be accessible with the GLAST satellite). Primordial braneworld black holes spread throughout the universe could produce similar interference effects; the probability for "attolensing" may be non-negligible. If interference fringes were observed, the fringe spacing would yield a simple upper limit on M. Detection of a primordial black hole with M <~ 1e-19 Msun would challenge general relativity and favor the braneworld model. Further work on lensing tests of braneworld gravity must proceed into the physical optics regime, which awaits a description of the full spacetime geometry around braneworld black holes.

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Initial Populations of Black Holes in Star Clusters

Published Paper #: 210

Authors:, K. Belczynski, A. Sadowski, F. Rasio, T. Bulik,

Journal: Astrophys.J.650:303-325,2006

url: http://arxiv.org/pdf/astro-ph/0508005v3.pdf

Abstract: Using an updated population synthesis code we study the formation and evolution of black holes (BHs) in young star clusters following a massive starburst. This study continues and improves on the initial work described by Belczynski, Sadowski & Rasio (2004). In our new calculations we account for the possible ejections of BHs and their progenitors from clusters because of natal kicks imparted by supernovae and recoil following binary disruptions. The results indicate that the properties of both retained BHs in clusters and ejected BHs (forming a field population) depend sensitively on the depth of the cluster potential. In particular, most BHs ejected from binaries are also ejected from clusters with central escape speeds Vesc < 100 km/s. Conversely, most BHs remaining in binaries are retained by clusters with Vesc > 50 km/s. BHs from single star evolution are also affected significantly: about half of the BHs originating from primordial single stars are ejected from clusters with Vesc < 50 km/s. Our results lay a foundation for theoretical studies of the formation of BH X-ray binaries in and around star clusters, including possible ultra-luminous sources, as well as merging BH--BH binaries detectable with future gravitational-wave observatories.

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The distribution and kinematics of early high-sigma peaks in present-day   haloes: implications for rare objects and old stellar populations

Published Paper #: 209

Authors:, Juerg Diemand, Piero Madau, Ben Moore,

Journal: Mon.Not.Roy.Astron.Soc.364:367-383,2005

url: http://arxiv.org/pdf/astro-ph/0506615v4.pdf

Abstract: We show that the hierarchical assembly of cold dark matter (CDM) haloes preserves the memory of the initial conditions. Using N-body cosmological simulations, we demonstrate that the present-day spatial distribution and kinematics of objects that formed within early (z > 10) protogalactic systems (old stars, satellite galaxies, globular clusters, massive black holes, etc.) depends mostly on the rarity of the peak of the primordial density field which they originally belonged to. Only for objects forming at lower redshifts the exact formation site within the progenitor halo (e.g. whether near the center or in an extended disk) becomes important. In present-day haloes, material from the rarer early peaks is more centrally concentrated and falls off more steeply with radius compared to the overall mass distribution, it has a lower velocity dispersion, moves on more radial orbits, and has a more elongated shape. Population II stars that formed within protogalactic haloes collapsing from >2.5 sigma fluctuations would follow today a r^{-3.5} density profile with a half-light radius of 17 kpc and a velocity anisotropy that increases from isotropic in the inner regions to nearly radial at the halo edge. This agrees well with the radial velocity dispersion profile of Galaxy halo stars from Battaglia et al. (2005) and with the anisotropic orbits of nearby halo stars.

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Clustering of primordial black holes: Basic results

Published Paper #: 208

Authors:, James R. Chisholm,

Journal: Phys.Rev.D73:083504,2006

url: http://arxiv.org/pdf/astro-ph/0509141v2.pdf

Abstract: We investigate the spatial clustering properties of primordial black holes (PBHs). With minimal assumptions, we show that PBHs created in the radiation era are highly clustered. Using the peaks theory model of bias, we compute the PBH two-point correlation function and power spectrum. For creation from an initially adiabatic power spectrum of perturbations, the PBH power spectrum contains both isocurvature and adiabatic components. The absence of observed isocurvature fluctuations today constrains the mass range in which PBHs may serve as dark matter. We briefly discuss other consequences of PBH clustering.

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Primordial black holes from cosmic necklaces

Published Paper #: 207

Authors:, Tomohiro Matsuda,

Journal: JHEP 0604 (2006) 017

url: http://arxiv.org/pdf/hep-ph/0509062v4.pdf

Abstract: Cosmic necklaces are hybrid topological defects consisting of monopoles and strings. We argue that primordial black holes(PBHs) may have formed from loops of the necklaces, if there exist stable winding states, such as coils and cycloops. Unlike the standard scenario of PBH formation from string loops, in which the kinetic energy plays important role when strings collapse into black holes, the PBH formation may occur in our scenario after necklaces have dissipated their kinetic energy. Then, the significant difference appears in the production ratio. In the standard scenario, the production ratio $f$ becomes a tiny fraction $f\sim 10^{-20}$, however it becomes $f \sim 1$ in our case. On the other hand, the typical mass of the PBHs is much smaller than the standard scenario, if they are produced in the same epoch. As the two mechanisms may work at the same time, the necklaces may have more than one channel of the gravitational collapse. Although the result obtained in this paper depends on the evolution of the dimensionless parameter $r$, the existence of the winding state could be a serious problem in some cases. Since the existence of the winding state in brane models is due to the existence of a non-tivial circle in the compactified space, the PBH formation can be used to probe the structure of the compactified space. Black holes produced by this mechanism may have peculiar properties.

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Primordial Stellar Feedback and the Origin of Hyper Metal-Poor Stars

Published Paper #: 206

Authors:, Torgny Karlsson,

Journal: Astrophys.J.641:L41-L44,2006

url: http://arxiv.org/pdf/astro-ph/0602597v1.pdf

Abstract: The apparent absence of stars in the Milky Way halo with -5 ~< [Fe/H] ~< -4 suggests that the gas out of which the halo stars were born experienced a period of low or delayed star formation after the local universe was lit up by the first, metal-free generation of stars (Pop III). Negative feedback owed to the Pop III stars could initially have prevented the pre-Galactic halo from cooling, which thereby delayed the collapse and inhibited further star formation. During this period, however, the nucleosynthesis products of the first supernovae (SNe) had time to mix with the halo gas. As a result, the initially primordial gas was already weakly enriched in heavy elements, in particular iron, at the time of formation of the Galactic halo. The very high, observed C/Fe ratios in the two recently discovered hyper metal-poor stars ([Fe/H]<-5) HE 0107-5240 and HE 1327-2326 as well as the diversity of C/Fe ratios in the population of extremely metal-poor stars ([Fe/H]<-3) are then naturally explained by a combination of pre-enrichment by Pop III stars and local enrichment by subsequent generations of massive, rotating stars, for which the most massive ones end their lives as black hole-forming SNe, only ejecting their outer (carbon-rich) layers. The possible existence of populations of mega metal-poor/iron-free stars ([Fe/H]<-6) is also discussed.

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Massive Black Hole Binaries from Collisional Runaways

Published Paper #: 205

Authors:, M. Atakan Gürkan, John M. Fregeau, Frederic A. Rasio,

Journal: Astrophys.J.640:L39-L42,2006

url: http://arxiv.org/pdf/astro-ph/0512642v2.pdf

Abstract: Recent theoretical work has solidified the viability of the collisional runaway scenario in young dense star clusters for the formation of very massive stars (VMSs), which may be precursors to intermediate-mass black holes (IMBHs). We present first results from a numerical study of the collisional runaway process in dense star clusters containing primordial binaries. Stellar collisions during binary scattering encounters offer an alternate channel for runaway growth, somewhat independent of direct collisions between single stars. We find that clusters with binary fractions >~10% yield two VMSs via collisional runaways, presenting the exotic possibility of forming IMBH--IMBH binaries in star clusters. We discuss the implications for gravitational wave observations, and the impact on cluster structure.

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Gravitino production by primordial black hole evaporation and   constraints on the inhomogeneity of the early Universe

Published Paper #: 204

Authors:, M. Yu Khlopov, A. Barrau, J. Grain,

Journal: Class.Quant.Grav.23:1875-1882,2006

url: http://arxiv.org/pdf/astro-ph/0406621v2.pdf

Abstract: In supergravity models, the evaporation of light Primordial Black Holes (PBHs) should be a source of gravitinos. By considering this process, new stringent limits are derived on the abundance of small black holes with initial masses less than 10^9 g. In minimal supergravity, the subsequent decay of evaporated gravitinos into cascades of non-equilibrium particles leads to the formation of elements whose abundance is constrained by observations. In gauge mediated supersymmetry breaking models, their density is required not to overclose the Universe. As a result, cosmological models with substantial inhomogeneities on small scales are excluded.

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How particle collisions increase the rate of accretion from the   cosmological background onto primordial black holes in braneworld cosmology

Published Paper #: 203

Authors:, V. V. Tikhomirov, Y. A. Tsalkou,

Journal: Phys.Rev. D72 (2005) 121301

url: http://arxiv.org/pdf/astro-ph/0510212v2.pdf

Abstract: It is shown that, contrary to the widespread opinion, particle collisions considerably increase accretion rate from the cosmological background onto 5D primordial black holes formed during the high-energy phase of the Randall-Sundrum Type II braneworld scenario. Increase of accretion rate leads to much tighter constraints on initial primordial black hole mass fraction imposed by the critical density limit and measurements of high-energy diffuse photon background and antiproton excess.

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The faintest accretors

Published Paper #: 202

Authors:, Andrew King, Rudy Wijnands,

Journal: Mon.Not.Roy.Astron.Soc.Lett.366:L31-L34,2006

url: http://arxiv.org/pdf/astro-ph/0511486v1.pdf

Abstract: Recent X-ray observations have detected a class of very faint X-ray transients in the Galaxy which probably reveal a previously unrecognised type of accretion on to neutron stars or black holes. We show that these systems cannot have descended from binaries with stellar-mass components of normal composition. Accretion of hydrogen-depleted matter on to stellar-mass black holes can account for individual systems, but requires that these transients should be observed to repeat within a few years, and does not explain why the class is distinctly faint.   Two other explanations appear to be quite natural. One invokes accretion by neutron stars or stellar-mass black holes from companions which were already brown dwarfs or planets when the systems formed, i.e. which did not descend from low-mass stars. The other possibility is that these systems are the endpoints of primordial (zero-metallicity) binaries in which the primary was extremely massive, and collapsed to a black hole of mass > 1000 solar masses. The (primordial) companion must by now have reached an extremely low mass (< 0.01 solar mass) and be transferring mass at a very low rate to the black hole. This picture avoids the main difficulty encountered by models invoking intermediate-mass black hole formation at non-primordial metallicities, and is a natural consequence of some current ideas about Population III star formation.

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The H II Region of the First Star

Published Paper #: 201

Authors:, Marcelo A. Alvarez, Volker Bromm, Paul R. Shapiro,

Journal: Astrophys.J.639:621-632,2006

url: http://arxiv.org/pdf/astro-ph/0507684v2.pdf

Abstract: Simulations predict that the first stars in an LCDM universe formed at redshifts z>20 in minihalos with masses of about 10^6 M_sun. We have studied their radiative feedback by simulating the propagation of ionization fronts (I-fronts) created by these first Population III stars (M_* = 15-500 M_sun) at z=20, within the density field of a cosmological simulation of primordial star formation, outward thru the host minihalo and into the surrounding gas. A three-dimensional ray-tracing calculation tracks the I-front once the H II region evolves a "champagne flow'' inside the minihalo, after the early D-type I-front detaches from the shock and runs ahead, becoming R-type. We take account of the hydrodynamical back-reaction by an approximate model of the central wind. We find that the escape fraction of ionizing radiation from the host halo increases with stellar mass, with 0.7 < f_esc <0.9 for 80 < M_*/M_sun < 500. To quantify the ionizing efficiency of these stars as they begin cosmic reionization, we find that, for M_* > 80 M_sun, the ratio of gas mass ionized to stellar mass is ~60,000, roughly half the number of ionizing photons released per stellar baryon. Nearby minihalos are shown to trap the I-front, so their centers remain neutral. This is contrary to the recent suggestion that these stars would trigger formation of a second generation by fully ionizing neighboring minihalos, stimulating H_2 formation in their cores. Finally, we discuss how the evacuation of gas from the host halo reduces the growth and luminosity of "miniquasars'' that may form from black hole remnants of the first stars.

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Massive Primordial Black Holes in Hybrid Inflation

Published Paper #: 200

Authors:, S. G. Rubin,

Journal: "I. Ya Pomeranchuk and Physics at the Turn of the Century." Eds.:
 A. Berkov, N. Narozhny, and L. Okun. Singapore, World Scientific, 2003

url: http://arxiv.org/pdf/astro-ph/0511181v1.pdf

Abstract: Black hole formation in the framework of hybrid inflation is considered. It is shown that this model of inflation provides conditions for multiple black hole production.

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Primordial Black Hole Pair Creation Probability in Modified   Gravitational Theory

Published Paper #: 199

Authors:, B. C. Paul, Dilip Paul,

Journal: Phys.Rev.D74:084015,2006

url: http://arxiv.org/pdf/hep-th/0511003v1.pdf

Abstract: The probability for quantum creation of an inflationary universe with a pair of black holes is computed in a modified gravitational theory. Considering a gravitational action which includes a cosmological constant ($\Lambda$) in addition to $ \alpha R^{2} $ and $ \delta R^{-1}$ terms, the probabilities have been evaluated for two different kinds of spatial sections, one accommodating a pair of black holes and the other without black hole. We adopt a technique prescribed by Bousso and Hawking to calculate the above creation probability in a semiclassical approximation with Hartle-Hawking boundary condition. Depending on the parameters in the action some new and physically interesting instanton solutions are presented here which may play an important role in the creation of the early universe. We note that the probability of creation of a universe with a pair of black holes is strongly suppressed with a positive cosmological constant when $\delta = \frac{4 \Lambda^{2}}{3}$ for $\alpha > 0$ but it is more probable for $\alpha < - \frac{1}{6 \Lambda}$. It is also found that instanton solutions are allowed without a cosmological constant in the theory provided $\delta < 0$.

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Forming sub-horizon black holes at the end of inflation

Published Paper #: 198

Authors:, David. H Lyth, Karim A. Malik, Misao Sasaki, Ignacio Zaballa,

Journal: JCAP 0601:011,2006

url: http://arxiv.org/pdf/astro-ph/0510647v1.pdf

Abstract: Previous authors have calculated the mass function of primordial black holes only on scales which are well outside the horizon at the end of inflation. Here we extend the calculation to sub-horizon scales, on which the density perturbation never becomes classical. Regarding the formation of black holes as a `measurement' of the (high peaks) of the density perturbation, we estimate a mass function by assuming that black holes form as soon as inflation ends, in those rare regions where the Bardeen potential exceeds a threshold value of $Psi_c\simeq 0.5$.

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Primordial black hole constraints on non-gaussian inflation models

Published Paper #: 197

Authors:, P. P. Avelino,

Journal: Phys.Rev. D72 (2005) 124004

url: http://arxiv.org/pdf/astro-ph/0510052v1.pdf

Abstract: We determine the abundance of primordial black holes (PBHs) formed in the context of non-gaussian models with primordial density perturbations. We consider models with a renormalized $\chi^2$ probability distribution function parametrized by the number, $\nu$, of degrees of freedom. We show that if $\nu$ is not too large then the PBH abundance will be altered by several orders of magnitude with respect to the standard gaussian result obtained in the $\nu \to \infty$ limit. We also study the dependence of the spectral index constraints on the nature of the cosmological perturbations for a power-law primordial power spectrum.

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Binary Mergers and Growth of Black Holes in Dense Star Clusters

Published Paper #: 196

Authors:, Ryan M. O'Leary, Frederic A. Rasio, John M. Fregeau, Natalia Ivanova, Richard O'Shaughnessy,

Journal: Astrophys.J.637:937-951,2006

url: http://arxiv.org/pdf/astro-ph/0508224v2.pdf

Abstract: We model the dynamical evolution of primordial black holes (BHs) in dense star clusters using a simplified treatment of stellar dynamics in which the BHs are assumed to remain concentrated in an inner core, completely decoupled from the background stars. Dynamical interactions involving BH binaries are computed exactly and are generated according to a Monte Carlo prescription. Recoil and ejections lead to complete evaporation of the BH core on a timescale ~10^9 yr for typical globular cluster parameters. Orbital decay driven by gravitational radiation can make binaries merge and, in some cases, successive mergers can lead to significant BH growth. Our highly simplified treatment of the cluster dynamics allows us to study a large number of models and to compute statistical distributions of outcomes, such as the probability of massive BH growth and retention in a cluster. We find that, in most models, there is a significant probability (~20-80%) of BH growth with final masses > 100 M_{\sun}. In one case, a final BH formed with mass ~ 620 M_{\sun}. However, if the typical merger recoil speed (due to asymmetric emission of gravitational radiation) significantly exceeds the cluster escape speed, no growth ever occurs. Independent of the recoil speed, we find that BH-BH mergers enhanced by dynamical interactions in cluster cores present an important source of gravitational waves for ground--based laser interferometers. Under optimistic conditions, the total rate of detections by Advanced LIGO, could be as high as a few tens of events per year from inspiraling BHs from clusters.

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Gravitational Wave Background from Neutrino-Driven Gamma-Ray Bursts

Published Paper #: 195

Authors:, Takashi Hiramatsu, Kei Kotake, Hideaki Kudoh, Atsushi Taruya,

Journal: Mon.Not.Roy.Astron.Soc.364:1063-1068,2005

url: http://arxiv.org/pdf/astro-ph/0509787v1.pdf

Abstract: We discuss the gravitational wave background (GWB) from a cosmological population of gamma-ray bursts (GRBs). Among various emission mechanisms for the gravitational waves (GWs), we pay a particular attention to the vast anisotropic neutrino emissions from the accretion disk around the black hole formed after the so-called failed supernova explosions. The produced GWs by such mechanism are known as burst with memory, which could dominate over the low-frequency regime below \sim 10Hz. To estimate their amplitudes, we derive general analytic formulae for gravitational waveform from the axisymmetric jets. Based on the formulae, we first quantify the spectrum of GWs from a single GRB. Then, summing up its cosmological population, we find that the resultant value of the density parameter becomes roughly \Omega_{GW} \approx 10^{-20} over the wide-band of the low-frequency region, f\sim 10^{-4}-10^1Hz. The amplitude of GWB is sufficiently smaller than the primordial GWBs originated from an inflationary epoch and far below the detection limit.

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Holes in the walls: primordial black holes as a solution to the   cosmological domain wall problem

Published Paper #: 194

Authors:, Dejan Stojkovic, Katherine Freese, Glenn D. Starkman,

Journal: Phys.Rev. D72 (2005) 045012

url: http://arxiv.org/pdf/hep-ph/0505026v3.pdf

Abstract: We propose a scenario in which the cosmological domain wall and monopole problems are solved without any fine tuning of the initial conditions or parameters in the Lagrangian of an underlying filed theory. In this scenario domain walls sweep out (unwind) the monopoles from the early universe, then the fast primordial black holes perforate the domain walls, change their topology and destroy them. We find further that the (old vacuum) energy density released from the domain walls could alleviate but not solve the cosmological flatness problem.

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Braneworld black holes in cosmology and astrophysics

Published Paper #: 193

Authors:, A. S. Majumdar, N. Mukherjee,

Journal: Int.J.Mod.Phys. D14 (2005) 1095

url: http://arxiv.org/pdf/astro-ph/0503473v2.pdf

Abstract: The braneworld description of our universe entails a large extra dimension and a fundamental scale of gravity that might be lower by several orders of magnitude compared to the Planck scale. An interesting consequence of the braneworld scenario is in the nature of spherically symmetric vacuum solutions to the brane gravitational field equations which could represent black holes with properties quite distinct compared to ordinary black holes in 4-dimensions. We discuss certain key features of some braneworld black hole geometries. Such black holes are likely to have diverse cosmological and astrophysical ramifications. The cosmological evolution of primordial braneworld black holes is described highlighting their longevity due to modified evaporation and effective accretion of radiation during the early braneworld high energy era. Observational abundance of various evaporation products of the black holes at different eras impose constraints on their initial mass fraction. Surviving primordial black holes could be candidates of dark matter present in galactic haloes. We discuss gravitational lensing by braneworld black holes. Observables related to the relativistic images of strong field gravitational lensing could in principle be used to distinguish between different braneworld black hole metrics in future observations.

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Super-horizon primordial black holes

Published Paper #: 192

Authors:, Tomohiro Harada, B. J. Carr,

Journal: Phys.Rev.D72:044021,2005

url: http://arxiv.org/pdf/astro-ph/0508122v2.pdf

Abstract: We discuss a new class of solutions to the Einstein equations which describe a primordial black hole (PBH) in a flat Friedmann background. Such solutions arise if a Schwarzschild black hole is patched onto a Friedmann background via a transition region. They are possible providing the black hole event horizon is larger than the cosmological apparent horizon. Such solutions have a number of strange features. In particular, one has to define the black hole and cosmological horizons carefully and one then finds that the mass contained within the black hole event horizon decreases when it is larger than the Friedmann cosmological apparent horizon, although its area always increases. These solutions involve two distinct future null infinities and are interpreted as the conversion of a white hole into a black hole. Although such solutions may not form from gravitational collapse in the same way as standard PBHs, there is nothing unphysical about them, since all energy and causality conditions are satisfied. Their conformal diagram is a natural amalgamation of the Kruskal diagram for the extended Schwarzschild solution and the conformal diagram for a black hole in a flat Friedmann background. In this paper, such solutions are obtained numerically for a spherically symmetric universe containing a massless scalar field, but it is likely that they exist for more general matter fields and less symmetric systems.

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The First Miniquasar

Published Paper #: 191

Authors:, M. Kuhlen, P. Madau,

Journal: Mon.Not.Roy.Astron.Soc.363:1069-1082,2005

url: http://arxiv.org/pdf/astro-ph/0506712v2.pdf

Abstract: We investigate the environmental impact of the first active galactic nuclei that may have formed ~150 Myr after the big bang in low-mass ~10^6 Msun minihaloes. Using Enzo, an adaptive-mesh refinement cosmological hydrodynamics code, we carry out three-dimensional simulations of the radiative feedback from `miniquasars' powered by intermediate-mass black holes. We follow the non-equilibrium multispecies chemistry of primordial gas in the presence of a point source of X-ray radiation, which starts shining in a rare high-sigma peak at z=21 and emits a power-law spectrum in the 0.2-10 keV range. We find that, after one Salpeter time-scale, the miniquasar has heated up the simulation box to a volume-averaged temperature of 2800 K. The mean electron and H2 fractions are now 0.03 and 4e-5: the latter is 20 times larger than the primordial value, and will delay the buildup of a uniform UV photodissociating background. The net effect of the X-rays is to reduce gas clumping in the IGM by as much as a factor of 3. While the suppression of baryonic infall lowers the gas mass fraction at overdensities delta in the range 20-2000, enhanced molecular cooling increases the amount of dense material at delta>2000. In many haloes within the proximity of our miniquasar the H2-boosting effect of X-rays is too weak to overcome heating, and the cold and dense gas mass actually decreases. We find little evidence for an entropy floor in gas at intermediate densities preventing gas contraction and H2 formation. Overall, the radiative feedback from X-rays enhances gas cooling in lower-sigma peaks that are far away from the initial site of star formation, thus decreasing the clustering bias of the early pregalactic population, but does not appear to dramatically reverse or promote the collapse of pregalactic clouds as a whole. (abridged)

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Probability for Primordial Black Holes Pair in 1/R Gravity

Published Paper #: 190

Authors:, Dilip Paul, Bikash Chandra Paul,

Journal: Phys.Rev. D72 (2005) 064012

url: http://arxiv.org/pdf/gr-qc/0508075v1.pdf

Abstract: The probability for quantum creation of an inflationary universe with a pair of black holes in 1/R - gravitational theory has been studied. Considering a gravitational action which includes a cosmological constant ($\Lambda$) in addition to $ \delta R^{- 1} $ term, the probability has been evaluated in a semiclassical approximation with Hartle-Hawking boundary condition. We obtain instanton solutions determined by the parameters $\delta$ and $\Lambda$ satisfying the constraint $ \delta \leq \frac{4 \Lambda^{2}}{3}$. However, we note that two different classes of instanton solutions exists in the region $0 < \delta < \frac{4 \Lambda^{2}}{3}$. The probabilities of creation of such configurations are evaluated. It is found that the probability of creation of a universe with a pair of black holes is strongly suppressed with a positive cosmological constant except in one case when $0 < \delta < \Lambda^{2}$. It is also found that gravitational instanton solution is permitted even with $\Lambda = 0$ but one has to consider $\delta < 0$. However, in the later case a universe with a pair of black holes is less probable.

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New Physics From A Dynamical Volume Element

Published Paper #: 189

Authors:, Eduardo Guendelman, Alexander Kaganovich, Emil Nissimov, Svetlana Pacheva,

Journal: "What Comes Beyond the Standard Models", Bled Workshops in
 Physics, vol. 5, pp.40-49, N. Borstnik, H.B. Nielsen et.al. eds., Ljubljana
 Univ. Press (2004)

url: http://arxiv.org/pdf/hep-th/0411122v3.pdf

Abstract: The use in the action integral of a volume element of the form $\Phi d^{D}x$ where $\Phi$ is a metric independent measure can give new interesting results in all types of known generally coordinate invariant theories: (1) 4-D theories of gravity plus matter fields; (2) Reparametrization invariant theories of extended objects; (3) Higher dimensional theories. In the case (1), a large number of new effects appears: under normal particle physics conditions (primordial) fermions split into three families; when matter is highly diluted, neutrinos increase their mass and can contribute both to dark energy and to dark matter. In the case (2), it leads to dynamically induced tension; to string models of non abelian confinement; to the possibility of new Weyl-conformally invariant light-like branes which dynamically adjust themselves to sit at black hole horizons; in the context of higher dimensional theories it can provide examples of massless 4-D particles with nontrivial Kaluza Klein quantum numbers. In the case (3), i.e. in brane and Kaluza Klein scenarios, the use of a metric independent measure makes it possible to construct naturally models where only the extra dimensions get curved and the 4-D remain flat.

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Upper limits on the size of a primordial black hole

Published Paper #: 188

Authors:, Tomohiro Harada, B. J. Carr,

Journal: Phys.Rev.D71:104009,2005

url: http://arxiv.org/pdf/astro-ph/0412134v3.pdf

Abstract: We provide precise constraints on the size of any black holes forming in the early Universe for a variety of formation scenarios. In particular, we prove that the size of the apparent horizon of a primordial black hole formed by causal processes in a flat Friedmann universe is considerably smaller than the cosmological apparent horizon size for an equation of state $p=k\rho$ ($1/3<k<1$). This also applies for a stiff equation of state ($k=1$) or for a massless scalar field. The apparent horizon of a primordial black hole formed through hydrodynamical processes is also considerably smaller than the cosmological apparent horizon for $0<k\le 1$. We derive an expression for the maximum size which an overdense region can have without being a separate closed universe rather than part of our own. Newtonian argument shows that a black hole smaller than the cosmological horizon can never accrete much.

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Growth of primordial black holes in a universe containing a massless   scalar field

Published Paper #: 187

Authors:, Tomohiro Harada, B. J. Carr,

Journal: Phys.Rev.D71:104010,2005

url: http://arxiv.org/pdf/astro-ph/0412135v4.pdf

Abstract: The evolution of primordial black holes in a flat Friedmann universe with a massless scalar field is investigated in fully general relativistic numerical relativity. A primordial black hole is expected to form with a scale comparable to the cosmological apparent horizon, in which case it may go through an initial phase with significant accretion. However, if it is very close to the cosmological apparent horizon size, the accretion is suppressed due to general relativistic effects. In any case, it soon gets smaller than the cosmological horizon and thereafter it can be approximated as an isolated vacuum solution with decaying mass accretion. In this situation the dynamical and inhomogeneous scalar field is typically equivalent to a perfect fluid with a stiff equation of state $p=\rho$. The black hole mass never increases by more than a factor of two, despite recent claims that primordial black holes might grow substantially through accreting quintessence. It is found that the gravitational memory scenario, proposed for primordial black holes in Brans-Dicke and scalar-tensor theories of gravity, is highly unphysical.

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Search for Gravitational Waves from Primordial Black Hole Binary   Coalescences in the Galactic Halo

Published Paper #: 186

Authors:, LIGO Scientific Collaboration, B. Abbott,

Journal: Phys.Rev.D72:082002,2005

url: http://arxiv.org/pdf/gr-qc/0505042v1.pdf

Abstract: We use data from the second science run of the LIGO gravitational-wave detectors to search for the gravitational waves from primordial black hole (PBH) binary coalescence with component masses in the range 0.2--$1.0 M_\odot$. The analysis requires a signal to be found in the data from both LIGO observatories, according to a set of coincidence criteria. No inspiral signals were found. Assuming a spherical halo with core radius 5 kpc extending to 50 kpc containing non-spinning black holes with masses in the range 0.2--$1.0 M_\odot$, we place an observational upper limit on the rate of PBH coalescence of 63 per year per Milky Way halo (MWH) with 90% confidence.

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Bulk and Brane Decay of a (4+n)-Dimensional Schwarzschild-De-Sitter   Black Hole: Scalar Radiation

Published Paper #: 185

Authors:, P. Kanti, J. Grain, A. Barrau,

Journal: Phys.Rev.D71:104002,2005

url: http://arxiv.org/pdf/hep-th/0501148v2.pdf

Abstract: In this paper, we extend the idea that the spectrum of Hawking radiation can reveal valuable information on a number of parameters that characterize a particular black hole background - such as the dimensionality of spacetime and the value of coupling constants - to gain information on another important aspect: the curvature of spacetime. We investigate the emission of Hawking radiation from a D-dimensional Schwarzschild-de-Sitter black hole emitted in the form of scalar fields, and employ both analytical and numerical techniques to calculate greybody factors and differential energy emission rates on the brane and in the bulk. The energy emission rate of the black hole is significantly enhanced in the high-energy regime with the number of spacelike dimensions. On the other hand, in the low-energy part of the spectrum, it is the cosmological constant that leaves a clear footprint, through a characteristic, constant emission rate of ultrasoft quanta determined by the values of black hole and cosmological horizons. Our results are applicable to "small" black holes arising in theories with an arbitrary number and size of extra dimensions, as well as to pure 4-dimensional primordial black holes, embedded in a de Sitter spacetime.

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Primordial Black Holes - Recent Developments

Published Paper #: 184

Authors:, B. J. Carr,

Journal: ECONFC041213:0204,2004

url: http://arxiv.org/pdf/astro-ph/0504034v1.pdf

Abstract: Recent developments in the study of primordial black holes (PBHs) will be reviewed, with particular emphasis on their formation and evaporation. PBHs could provide a unique probe of the early Universe, gravitational collapse, high energy physics and quantum gravity. Indeed their study may place interesting constraints on the physics relevant to these areas even if they never formed. In the "early Universe" context, particularly useful constraints can be placed on inflationary scenarios, especially if evaporating PBHs leave stable Planck-mass relicts. In the "gravitational collapse" context, the existence of PBHs could provide a unique test of the sort of critical phenomena discovered in recent numerical calculations. In the "high energy physics" context, information may come from gamma-ray bursts (if a subset of these are generated by PBH explosions) or from cosmic rays (if some of these derive from evaporating PBHs). In the "quantum gravity" context, the formation and evaporation of small black holes could lead to observable signatures in cosmic ray events and accelerator experiments, providing there are extra dimensions and providing the quantum gravity scale is around a TeV.

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Primordial Black Holes, Hawking Radiation and the Early Universe

Published Paper #: 183

Authors:, Paul H. Frampton, Thomas W. Kephart,

Journal: Mod.Phys.Lett. A20 (2005) 1573-1576

url: http://arxiv.org/pdf/hep-ph/0503267v1.pdf

Abstract: The 511 keV gamma emission from the galactic core may originate from a high concentration ($\sim 10^{22}$) of primordial black holes (PBHs) in the core each of whose Hawking radiation includes $\sim 10^{21}$ positrons per second. The PBHs we consider are taken as near the lightest with longevity greater than the age of the universe (mass $\sim 10^{12}$ kg; Schwarzschild radius $\sim 1$ fm). These PBHs contribute only a small fraction of cold dark matter, $\Omega_{PBH} \sim 10^{-8}$. This speculative hypothesis, if confirmed implies the simultaneous discovery of Hawking radiation and an early universe phase transition.

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Gravitational lensing in the weak field limit by a braneworld black hole

Published Paper #: 182

Authors:, A. S. Majumdar, Nupur Mukherjee,

Journal: Mod.Phys.Lett.A20:2487-2496,2005

url: http://arxiv.org/pdf/astro-ph/0403405v3.pdf

Abstract: Braneworld black holes existing today may be of primordial origin, or may even be produced in high energy particle collisions in the laboratory and in cosmic ray showers as well. These black holes obey a modified mass-radius relationship compared to standard Schwarzschild black holes. Using the variational principle we calculate the bending angle of a light ray near the horizon of a braneworld black hole in the weak field limit. We next derive the expressions of several lensing quantities like the Einstein radius and the magnification for a point light source. These expressions are modified compared to the lensing quantities for standard Schwarzschild black holes and contain the scale of the extra dimensions.

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Cosmological quintessence accretion onto primordial black holes :   conditions for their growth to the supermassive scale

Published Paper #: 181

Authors:, P. S. Custódio, J. E. Horvath,

Journal: Int.J.Mod.Phys. D14 (2005) 257-274

url: http://arxiv.org/pdf/gr-qc/0502118v1.pdf

Abstract: In this work we revisit the growth of small primordial black holes (PBHs) immersed in a quintessential field and/or radiation to the supermassive black hole (SMBHs) scale. We show the difficulties of scenarios in which such huge growth is possible. For that purpose we evaluated analytical solutions of the differential equations (describing mass evolution) and point out the strong fine tuning for that conclusions. The timescale for growth in a model with a constant quintessence flux is calculated and we show that it is much bigger than the Hubble time.The fractional gain of the mass is further evaluated in other forms, including quintessence and/or radiation. We calculate the cosmological density $\Omega$ due to quintessence necessary to grow BHs to the supermassive range and show it to be much bigger than one. We also describe the set of complete equations analyzing the evolution of the BH+quintessence universe, showing some interesting effects such the quenching of the BH mass growth due to the evolution of the background energy. Additional constraints obtained by using the Holographic Bound are also described. The general equilibrium conditions for evaporating/accreting black holes evolving in a quintessence/radiation universe are discussed in the Appendix.

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Sub-GeV galactic cosmic-ray antiprotons from primordial black holes in   the Randall-Sundrum braneworld

Published Paper #: 180

Authors:, Yuuiti Sendouda, Kazunori Kohri, Shigehiro Nagataki, Katsuhiko Sato,

Journal: Phys.Rev. D71 (2005) 063512

url: http://arxiv.org/pdf/astro-ph/0408369v2.pdf

Abstract: We investigate cosmic-ray antiprotons emitted from the galactic primordial black holes in the Randall-Sundrum type-2 braneworld. The recent results of the BESS antiproton observation implies the existence of exotic primary sub-GeV antiprotons, one of whose most probable origin is PBHs in Our Galaxy. We show that the magnitude of antiproton flux from PBHs in the RS braneworld is proportional to negative power of the AdS radius, and immediately find that a large extra-dimension can relax upper-limits on the abundance of the Galactic PBHs. If actually there are more PBHs than the known upper-limit obtained in the pure 4D case, they set a lower bound on the size of the extra dimension above at least 10^{20} times 4D Planck-length to avoid inconsistency. On completion of the numerical studies, we show that these constraints on the AdS radius is comparable to those obtained from the diffuse photon background by some of the authors in the previous paper. Moreover, in the low accretion-rate case, only antiprotons can constrain the braneworld. We show that we will detect signatures of the braneworld as a difference between the flux of the antiprotons predicted in 4D and 5D by future observations in sub-GeV region with a few percent precision.

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Computations of primordial black hole formation

Published Paper #: 179

Authors:, Ilia Musco, John C. Miller, Luciano Rezzolla, ;,

Journal: Class.Quant.Grav. 22 (2005) 1405-1424

url: http://arxiv.org/pdf/gr-qc/0412063v2.pdf

Abstract: Results are presented from general relativistic numerical computations of primordial black-hole formation during the radiation-dominated era of the universe. Growing-mode perturbations are specified within the linear regime and their subsequent evolution is followed as they become nonlinear. We use a spherically symmetric Lagrangian code and study both super-critical perturbations, which go on to produce black holes, and sub-critical perturbations, for which the overdensity eventually disperses into the background medium. For super-critical perturbations, we confirm the results of previous work concerning scaling-laws but note that the threshold amplitude for a perturbation to lead to black-hole formation is substantially reduced when the initial conditions are taken to represent purely growing modes. For sub-critical cases, where an initial collapse is followed by a subsequent re-expansion, strong compressions and rarefactions are seen for perturbation amplitudes near to the threshold. We have also investigated the effect of including a significant component of vacuum energy and have calculated the resulting changes in the threshold and in the slope of the scaling law.

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Dynamical evolution of intermediate mass black holes and their   observable signatures in the nearby Universe

Published Paper #: 178

Authors:, Marta Volonteri, Rosalba Perna,

Journal: Mon.Not.Roy.Astron.Soc. 358 (2005) 913-922

url: http://arxiv.org/pdf/astro-ph/0501345v1.pdf

Abstract: We investigate the consequences of a model of the assembly and growth of massive black holes from primordial seeds, remnants of the first generation of stars in a hierarchical structure formation scenario. Our model traces the build-up of MBHs from an early epoch, and follows the merger history of dark matter halos and their associated holes via Monte Carlo realizations of the merger hierarchy from early times to the present time. The sequence of minor and major mergers experienced by galactic halos in their hierarchical growth affects the merger history of MBHs embedded in their nuclei. So, if the formation route for the assembly of SMBHs dates back to the early universe, a large number of BH interactions is inevitable. Binary black holes coalescence timescales can be long enough for a third BH to fall in and interact with the central binary. These BH triple interactions lead typically to the final expulsion of one of the three bodies and to the recoil of the binary. Also, asymmetric emission of gravitational waves in the last stages of the black hole merging can give a recoil velocity to the centre of mass of the coalescing binary. This scenario leads to the prediction of a population of intermediate mass BHs (IMBHs) wandering in galaxy halos at the present epoch. We compute the luminosity distribution produced by these IMBHs accreting from their circumstellar medium. We find that in a Milky Way-sized galaxy they are unable to account for sources with luminosities > 1e39 erg/s unless they carry a baryonic remnant from which they are able to accrete for a long time. We also find that, for typical spiral galaxies, the bright end of the point source distribution correlates with the mass of the galaxy, and the most luminous sources are expected to be found in the disk.

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Quasars formation around clusters of primordial black holes

Published Paper #: 177

Authors:, Vyacheslav Dokuchaev, Yury Eroshenko, Sergei Rubin,

Journal: Grav.Cosmol. 11 (2005) 99-104

url: http://arxiv.org/pdf/astro-ph/0412418v2.pdf

Abstract: We propose the model of first quasars formation around the cluster of rimordial black holes (PBHs). It is supposed, that mass fraction of the universe ~10^-3 is composed of the compact clusters of PBHs, produced during the phase transitions in the early universe. The clusters of PBHs become the centers of dark matter condensation. As a result, the galaxies with massive central black holes are formed. In the process of galaxies formation the central black holes are growing due to accretion. This accretion is acompaned by the early quasar activity.

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A black hole solution to the cosmological monopole problem

Published Paper #: 176

Authors:, Dejan Stojkovic, Katherine Freese,

Journal: Phys.Lett. B606 (2005) 251-257

url: http://arxiv.org/pdf/hep-ph/0403248v4.pdf

Abstract: We propose a solution to the cosmological monopole problem: Primordial black holes, produced in the early universe, can accrete magnetic monopoles before the relics dominate the energy density of the universe. These small black holes quickly evaporate and thereby convert most of the monopole energy density into radiation. We estimate the range of parameters for which this solution is possible: under very conservative assumptions we find that the black hole mass must be less than 10^9 gm.

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Moduli Entrapment with Primordial Black Holes

Published Paper #: 175

Authors:, Nemanja Kaloper, Joachim Rahmfeld, Lorenzo Sorbo,

Journal: Phys.Lett. B606 (2005) 234-244

url: http://arxiv.org/pdf/hep-th/0409226v2.pdf

Abstract: We argue that primordial black holes in the early universe can provide an efficient resolution of the Brustein-Steinhardt moduli overshoot problem in string cosmology. When the universe is created near the Planck scale, all the available states in the theory are excited by strong interactions and cosmological particle production. The heavy states are described in the low energy theory as a gas of electrically and magnetically charged black holes. This gas of black holes quickly captures the moduli which appear in the relation between black hole masses and charges, and slows them down with their vevs typically close to the Planck scale. From there, the modulus may slowly roll into a valley with a positive vacuum energy, where inflation may begin. The black hole gas will redshift away in the course of cosmic expansion, as inflation evicts black holes out of the horizon.

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Are black holes over-produced during preheating?

Published Paper #: 174

Authors:, Teruaki Suyama, Takahiro Tanaka, Bruce Bassett, Hideaki Kudoh,

Journal: Phys.Rev. D71 (2005) 063507

url: http://arxiv.org/pdf/hep-ph/0410247v2.pdf

Abstract: We provide a simple but robust argument that primordial black hole (PBH) production generically does {\em not} exceed astrophysical bounds during the resonant preheating phase after inflation. This conclusion is supported by fully nonlinear lattice simulations of various models in two and three dimensions which include rescattering but neglect metric perturbations. We examine the degree to which preheating amplifies density perturbations at the Hubble scale and show that at the end of the parametric resonance, power spectra are universal, with no memory of the power spectrum at the end of inflation. In addition we show how the probability distribution of density perturbations changes from exponential on very small scales to Gaussian when smoothed over the Hubble scale -- the crucial length for studies of primordial black hole formation -- hence justifying the standard assumption of Gaussianity.

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Cosmic Star Formation, Reionization, and Constraints on Global Chemical   Evolution

Published Paper #: 173

Authors:, Frederic Daigne, Keith A. Olive, Elisabeth Vangioni-Flam, Joseph Silk, Jean Audouze,

Journal: Astrophys.J.617:693,2004; Astrophys.J.617:693-706,2004

url: http://arxiv.org/pdf/astro-ph/0405355v2.pdf

Abstract: Motivated by the WMAP results indicating an early epoch of reionization, we consider alternative cosmic star formation models which are capable of reionizing the early intergalactic medium. We develop models which include an early burst of massive stars (with several possible mass ranges) combined with standard star formation. We compute the stellar ionizing flux of photons and we track the nucleosynthetic yields for several elements: D, He4, C, N, O, Si, S, Fe, Zn. We compute the subsequent chemical evolution as a function of redshift, both in the intergalactic medium and in the interstellar medium of forming galaxies, starting with the primordial objects which are responsible for the reionization. We apply constraints from the observed abundances in the Lyman alpha forest and in Damped Lyman alpha clouds in conjunction with the ability of the models to produce the required degree of reionization. We also consider possible constraints associated with the observations of the two extremely metal-poor stars HE 0107-5240 and CS22949-037. We confirm that an early top-heavy stellar component is required, as a standard star formation model is unable to reionize the early Universe and reproduce the abundances of the very metal-poor halo stars. A bimodal (or top-heavy) IMF (40 - 100 M_\odot) is our preferred scenario compared to the extreme mass range (\ga 100 M_\odot) often assumed to be responsible for the early stages of reionization. A mode of even more extreme stellar masses in the range (\ge 270 M_\odot) has also been considered. All massive stars in this mode collapse entirely into black holes, and as a consequence, chemical evolution and reionization are de-correlated. [Abstract abbreviated.]

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Hybrid Inflation without Flat Directions and without Primordial Black   Holes

Published Paper #: 172

Authors:, K. Dimopoulos, M. Axenides,

Journal: JCAP 0506:008,2005

url: http://arxiv.org/pdf/hep-ph/0310194v3.pdf

Abstract: We investigate the possibility that the Universe may inflate due to moduli fields, corresponding to flat directions of supersymmetry, lifted by supergravity corrections. Using a hybrid-type potential we obtain a two-stage inflationary model. Depending on the curvature of the potential the first stage corresponds to a period of fast-roll inflation or a period of `locked' inflation, induced by an oscillating inflaton. This is followed by a second stage of fast-roll inflation. We demonstrate that these two consecutive inflationary phases result in enough total e-foldings to encompass the cosmological scales. Using natural values for the parameters (masses of order TeV and vacuum energy of the intermediate scale corresponding to gravity mediated supersymmetry breaking) we conclude that the $\eta$-problem of inflation is easily overcome. The greatest obstacle to our scenario is the possibility of copious production of cosmologically disastrous primordial black holes due to the phase transition switching from the first into the second stage of inflation. We study this problem in detail and show analytically that there is ample parameter space where these black holes do not form at all. To generate structure in the Universe we assume the presence of a curvaton field. Finally we also discuss the moduli problem and how it affects our considerations.

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Supermassive black holes from primordial black hole seeds

Published Paper #: 171

Authors:, Norbert Duechting,

Journal: Phys.Rev. D70 (2004) 064015

url: http://arxiv.org/pdf/astro-ph/0406260v2.pdf

Abstract: The observational evidence for a population of quasars powered by supermassive black holes of mass \geq 10^9 M_sun at redshifts z\geq 6 poses a great challenge for any model describing the formation of galaxies. Assuming uninterrupted accretion at the Eddington limit, seed black holes of at least 1000 M_sun are needed at z \approx 15. Here I study whether these seeds could be primordial black holes (PBHs) which have been produced in the very early universe by the collapse of primordial density fluctuations. In particular, I study the expected number densities of PBHs in the relevant mass range for several classes of spectra of primordial density fluctuations and confront the results with observational data. While it seems to be possible to produce the required PBHs with spectra showing large enhancements of fluctuations on a certain scale, our hypothesis can be clearly disproved for a scale free spectrum of primordial fluctuations described by a power-law slope consistent with recent observations.

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A new calculation of the mass fraction of primordial black holes

Published Paper #: 170

Authors:, Anne M. Green, Andrew R. Liddle, Karim A. Malik, Misao Sasaki,

Journal: Phys.Rev.D70:041502,2004

url: http://arxiv.org/pdf/astro-ph/0403181v2.pdf

Abstract: We revisit the calculation of the abundance of primordial black holes (PBHs) formed from primordial density perturbations, using a formation criterion derived by Shibata and Sasaki which refers to a metric perturbation variable rather than the usual density contrast. We implement a derivation of the PBH abundance which uses peaks theory, and compare it to the standard calculation based on a Press--Schechter-like approach. We find that the two are in reasonable agreement if the Press--Schechter threshold is in the range $\Delta_{{\rm th}} \simeq 0.3$ to 0.5, but advocate use of the peaks theory expression which is based on a sounder theoretical footing.

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Very high frequency gravitational wave background in the universe

Published Paper #: 169

Authors:, G. S. Bisnovatyi-Kogan, V. N. Rudenko,

Journal: Class.Quant.Grav.21:3347-3359,2004

url: http://arxiv.org/pdf/gr-qc/0406089v1.pdf

Abstract: Astrophysical sources of high frequency gravitational radiation are considered in association with a new interest to very sensitive HFGW receivers required for the laboratory GW Hertz experiment. A special attention is paid to the phenomenon of primordial black holes evaporation. They act like black body to all kinds of radiation, including gravitons, and, therefore, emit an equilibrium spectrum of gravitons during its evaporation. Limit on the density of high frequency gravitons in the Universe is obtained, and possibilities of their detection are briefly discussed.

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Could the next generation of cosmology experiments exclude supergravity?

Published Paper #: 168

Authors:, A. Barrau, N. Ponthieu,

Journal: Phys.Rev. D69 (2004) 105021

url: http://arxiv.org/pdf/hep-ph/0402187v2.pdf

Abstract: Gravitinos are expected to be produced in any local supersymmetric model. Using their abundance prediction as a function of the reheating energy scale, it is argued that the next generation of Cosmic Microwave Background experiments could exclude supergravity or strongly favor "thermal-like" inflation models if B mode polarized radiation were detected. Galactic cosmic--ray production by evaporating primordial black holes is also investigated as a way of constraining the Hubble mass at the end of inflation. Subsequent limits on the gravitino mass and on the related grand unification parameters are derived.

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On the possible sources of gravitational wave bursts detectable today

Published Paper #: 167

Authors:, Eugenio Coccia, Florian Dubath, Michele Maggiore,

Journal: Phys.Rev.D70:084010,2004

url: http://arxiv.org/pdf/gr-qc/0405047v2.pdf

Abstract: We discuss the possibility that galactic gravitational wave sources might give burst signals at a rate of several events per year, detectable by state-of-the-art detectors. We are stimulated by the results of the data collected by the EXPLORER and NAUTILUS bar detectors in the 2001 run, which suggest an excess of coincidences between the two detectors, when the resonant bars are orthogonal to the galactic plane. Signals due to the coalescence of galactic compact binaries fulfill the energy requirements but are problematic for lack of known candidates with the necessary merging rate. We examine the limits imposed by galactic dynamics on the mass loss of the Galaxy due to GW emission, and we use them to put constraints also on the GW radiation from exotic objects, like binaries made of primordial black holes. We discuss the possibility that the events are due to GW bursts coming repeatedly from a single or a few compact sources. We examine different possible realizations of this idea, such as accreting neutron stars, strange quark stars, and the highly magnetized neutron stars (``magnetars'') introduced to explain Soft Gamma Repeaters. Various possibilities are excluded or appear very unlikely, while others at present cannot be excluded.

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Coarse-Grained Back Reaction in Single Scalar Field Driven Inflation

Published Paper #: 166

Authors:, Ghazal Geshnizjani, Niayesh Afshordi,

Journal: JCAP 0501 (2005) 011

url: http://arxiv.org/pdf/gr-qc/0405117v1.pdf

Abstract: We introduce a self-consistent stochastic coarse-graining method, which includes both metric and scalar field fluctuations, to investigate the back reaction of long wavelength perturbations in single-scalar driven inflation, up to the second (one loop) order. We demonstrate that, although back reaction cannot be significant during the last 70 e-foldings of inflation with a smooth potential, there exist non-smooth inflaton potentials which allow significant back reaction, and are also consistent with cosmological observations. Such non-smooth potentials may lead to the generation of massive primordial black holes, which could be further used to constrain/verify these models.

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Search for Small-Mass Black Hole Dark Matter with Space-Based   Gravitational Wave Detectors

Published Paper #: 165

Authors:, Naoki Seto, Asantha Cooray,

Journal: Phys.Rev. D70 (2004) 063512

url: http://arxiv.org/pdf/astro-ph/0405216v1.pdf

Abstract: The high sensitivity of upcoming space-based gravitational wave detectors suggests the possibility that if halo dark matter were composed of primordial black holes (PBHs) with mass between $10^{16}$ g and 10$^{20}$ g, the gravitational interaction with detector test masses will lead to a detectable pulse-like signal during the fly-by. For an improved version of the Laser Interferometer Space Antenna with a reduced acceleration noise at the low-end of its frequency spectrum, we find an event rate, with signal-to-noise ratios greater than 5, of $\sim$ a few per decade involving black holes of mass $\sim$ 10$^{17}$ g. The detection rate improves significantly for second generation space based interferometers that are currently envisioned, though these events must be distinguished from those involving perturbations due to near-Earth asteroids. While the presence of primordial black holes below a mass of $\sim$ 10$^{16}$ g is now constrained based on the radiation released during their evaporation, the gravitational wave detectors will extend the study of PBHs to a several orders of magnitude higher masses.

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The early evolution of Globular Clusters: the case of NGC 2808

Published Paper #: 164

Authors:, Francesca D'Antona, Vittoria Caloi,

Journal: Astrophys.J.611:871-880,2004

url: http://arxiv.org/pdf/astro-ph/0405016v1.pdf

Abstract: Enhancement and spread of helium among globular cluster stars have been recently suggested as a way to explain the horizontal branch blue tails, in those clusters which show a primordial spread in the abundances of CNO and other elements involved in advanced CNO burning (D'Antona et al. 2002). In this paper we examine the implications of the hypothesis that, in many globular clusters, stars were born in two separate events: an initial burst (first generation), which gives origin to probably all high and intermediate mass stars and to a fraction of the cluster stars observed today, and a second, prolonged star formation phase (second generation) in which stars form directly from the ejecta of the intermediate mass stars of the first generation. In particular, we consider in detail the morphology of the horizontal branch in NGC 2808 and argue that it unveils the early cluster evolution, from the birth of the first star generation to the end of the second phase of star formation. This framework provides a feasible interpretation for the still unexplained dichotomy of NGC 2808 horizontal branch, attributing the lack of stars in the RR Lyr region to the gap in the helium content between the red clump, whose stars are considered to belong to the first stellar generation and have primordial helium, and the blue side of the horizontal branch, whose minimum helium content reflects the helium abundance in the smallest mass (~4Msun)contributing to the second stellar generation. This scenario provides constraints on the required Initial Mass Function, in a way that a great deal of remnant neutron stars and stellar mass black holes might have been produced.

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Condition for Primordial Black Hole Formation in Randall-Sundrum   Cosmology

Published Paper #: 163

Authors:, Masahiro Kawasaki,

Journal: Phys.Lett. B591 (2004) 203-207

url: http://arxiv.org/pdf/astro-ph/0403668v2.pdf

Abstract: We consider spherical collapse in the Randall-Sundrum type II model and estimate the critical over density for black hole formation in the radiation dominated era. It is found that when (density)$^{2}$-term is dominant in the modified Friedmann equation the critical density is smaller than in the standard cosmology, which implies that PBHs are more easily produced in the Randall-Sundrum model.

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A Comprehensive Study of Young Black Hole Populations

Published Paper #: 162

Authors:, Krzysztof Belczynski, Aleksander Sadowski, Frederic A. Rasio,

Journal: Astrophys.J. 611 (2004) 1068-1079

url: http://arxiv.org/pdf/astro-ph/0404068v1.pdf

Abstract: We present theoretical models of black hole (BH) populations in young stellar environments, such as starbursts and young star clusters. Using a population synthesis approach we compute the formation rates and characteristic properties of single and binary BHs for various representative ages and choices of parameters. We find that most of the BHs (typically 80% for an initial 50% binary fraction) are single, but with many originating from primordial binaries (which either merged into a single massive star or were disrupted following a supernova explosion). A smaller but significant fraction (typically 20%) of the BHs remain in binary systems. Main-sequence stars are the most frequent BH companions, but massive BH--BH binaries are the next most numerous group. The most massive BHs found in our simulations reach 80 Msun, and are formed through mergers of massive binary components. If formed in a dense star cluster such a massive stellar BH may become the seed for growth to a more massive (``intermediate-mass'') BH. Although we do not include dynamical interactions, our results provide realistic initial conditions for N-body simulations of dense star clusters (e.g., globular clusters) including primordial BHs.

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Cosmological Black Holes as Seeds of Voids in Galaxy Distribution

Published Paper #: 161

Authors:, Salvatore Capozziello, Maria Funaro, Cosimo Stornaiolo,

Journal: Astron.Astrophys. 420 (2004) 847-851

url: http://arxiv.org/pdf/astro-ph/0403445v1.pdf

Abstract: Deep surveys indicate a bubbly structure of cosmological large scale which should be the result of evolution of primordial density perturbations. Several models have been proposed to explain origin and dynamics of such features but, till now, no exhaustive and fully consistent theory has been found. We discuss a model where cosmological black holes, deriving from primordial perturbations, are the seeds for large-scale-structure voids. We give details of dynamics and accretion of the system voids-cosmological black holes from the epochs $(z\simeq10^{3})$ till now finding that void of $40h^{-1}Mpc$ of diameter and under-density of -0.9 will fits the observations without conflicting with the homogeneity and isotropy of cosmic microwave background radiation.

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Tuning Locked Inflation: Supergravity versus Phenomenology

Published Paper #: 160

Authors:, Richard Easther, Justin Khoury, Koenraad Schalm,

Journal: JCAP 0406 (2004) 006

url: http://arxiv.org/pdf/hep-th/0402218v1.pdf

Abstract: We analyze the cosmological consequences of locked inflation, a model recently proposed by Dvali and Kachru that can produce significant amounts of inflation without requiring slow-roll. We pay particular attention to the end of inflation in this model, showing that a secondary phase of saddle inflation can follow the locked inflationary era. However, this subsequent period of inflation results in a strongly scale dependent spectrum that can lead to massive black hole formation in the primordial universe. Avoiding this disastrous outcome puts strong constraints on the parameter space open to models of locked inflation.

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Peculiar Relics from Primordial Black Holes in the Inflationary Paradigm

Published Paper #: 159

Authors:, A. Barrau, D. Blais, G. Boudoul, D. Polarski,

Journal: Annalen Phys. 13 (2004) 115-123

url: http://arxiv.org/pdf/astro-ph/0303330v2.pdf

Abstract: Depending on various assumptions on the energy scale of inflation and assuming a primordial power spectrum of a Broken Scale Invariance (BSI) type, we explore the possibility for Primordial Black Holes (PBH) and Planck relics to contribute substantially to cold dark matter in the Universe. A recently proposed possibility to produce planck relics in 4-dimensional string gravity is considered. Possible experimental detection through gravitational waves is further explored. We stress that inflation with a low energy scale, and also possibly when Planck relics are produced, leads unavoidably to relics originating from PBHs that are not effectively classical during their formation, rendering the usual formalism inadequate for them.

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Galactic Populations of Ultracompact Binaries

Published Paper #: 158

Authors:, Krzysztof Belczynski, Ronald E. Taam,

Journal: Astrophys.J.603:690-696,2004

url: http://arxiv.org/pdf/astro-ph/0307492v2.pdf

Abstract: Recent RXTE and Chandra discoveries of low mass X-ray binaries with ultra-short orbital periods have initiated theoretical work on the origins of these peculiar systems. Using the StarTrack population synthesis code the formation and evolution of X-ray ultracompact binaries (UCBs) in the Galactic field are analyzed. The relative number of UCBs with a neutron star or a black hole accretor populating our Galaxy is predicted. Our results demonstrate that standard evolutionary scenarios involving primordial binaries can be sufficient to produce the UCBs in the Galactic field without requiring additional processes associated with the dense stellar environments in the cores of globular clusters. In contrast to previous studies we find that the majority of the immediate progenitors of these systems consist of a hydrogen exhausted donor with an ONeMg white dwarf. The evolution of these systems leads to the accretion induced collapse of the white dwarf to a neutron star, which can play an important role in the formation of a majority of Galactic UCBs. We predict that with an increase in the number of X-ray active UCBs hosting neutron stars by an order of magnitude, a system with a black hole accretor may be found.

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Early reionization by miniquasars

Published Paper #: 157

Authors:, Piero Madau, Martin J. Rees, Marta Volonteri, Francesco Haardt, S. Peng Oh,

Journal: Astrophys.J.604:484-494,2004

url: http://arxiv.org/pdf/astro-ph/0310223v2.pdf

Abstract: Motivated by the recent detection by WMAP of a large optical depth to Thomson scattering -- implying a very early reionization epoch -- we assess a scenario where the universe was reionized by `miniquasars' powered by intermediate-mass black holes (IMBHs), the remnants of the first generation of massive stars. Pregalactic IMBHs form within minihalos above the cosmological Jeans mass collapsing at z=24, get incorporated through mergers into larger and larger systems, sink to the center owing to dynamical friction, and accrete cold material. The merger history of dark halos and associated IMBHs is followed by Monte Carlo realizations of the merger hierarchy in a LCDM cosmology. While seed IMBHs that are as rare as the 3.5-sigma peaks of the primordial density field evolve largely in isolation, a significant number of black hole binary systems will form if IMBHs populate the more numerous 3-sigma peaks instead. In the case of rapid binary coalescence a fraction of IMBHs will be displaced from galaxy centers and ejected into the IGM by the `gravitational rocket' effect, rather than accrete and shine as miniquasars. We show that, under a number of plausible assumptions for the amount of gas accreted onto IMBHs and their emission spectrum, miniquasars powered by IMBHs may be responsible for cosmological reionization at z~15. Reionization by miniquasars with a hard spectrum may be more `economical' than stellar reionization, as soft X-rays escape more easily from the dense sites of star formation and travel further than EUV radiation. Energetic photons will make the diffuse IGM warm and weakly ionized prior to the epoch of reionization breakthrough, set an entropy floor, and reduce gas clumping. Future 21 cm observations may detect a preheated, weakly-ionized IGM in emission against the CMB. (abridged)

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Constraints on the mass spectrum of primordial black holes and   braneworld parameters from the high-energy diffuse photon background

Published Paper #: 156

Authors:, Yuuiti Sendouda, Shigehiro Nagataki, Katsuhiko Sato,

Journal: Phys.Rev. D68 (2003) 103510

url: http://arxiv.org/pdf/astro-ph/0309170v2.pdf

Abstract: We investigate the spectral shape of a high-energy diffuse photon emitted by evaporating primordial black holes (PBHs) in the Randall-Sundrum type II (RS2) braneworld. In their braneworld scenario, the nature of small PBHs is drastically modified from the ordinary four-dimensional case for the following two reasons. (i) dropping Hawking temperature, which equivalently lengthens the lifetime of the individual PBH due to the change of space-time topology and (ii) the effective increase of the total amount of PBHs caused by accretion during the earliest part of the radiation-dominated epoch, the brane high-energy phase. From studies of the expected spectral shape and its dependence on braneworld parameters, we obtain two qualitatively distinctive possibilities of constraints on the braneworld PBHs from the observations of diffuse high-energy photon background. If the efficiency of accretion in the high-energy phase exceeds a critical value, the existence of the extra dimension gives a more stringent upper bound on the abundance of PBHs than the 4D case and a small length scale for the extra dimension is favored. On the contrary, in the case below the critical accretion efficiency, we find that the constraint on the PBH abundance can be relaxed by a few orders of magnitude in exchange for the existence of the large extra dimension; its size may be even bounded in the region above 10^{19} times 4D Planck length scale provided the rest mass energy density of the PBHs relative to energy density of radiation is actually larger than 10^{-27} (4D upper bound) at their formation time. The above analytical studies are also confirmed numerically, and an allowed region for braneworld parameters and PBH abundance is clearly obtained.

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Primordial Black Holes as a Probe of Cosmology and High Energy Physics

Published Paper #: 155

Authors:, B. J. Carr,

Journal: Lect.Notes Phys. 631 (2003) 301-321

url: http://arxiv.org/pdf/astro-ph/0310838v1.pdf

Abstract: Recent developments in the study of primordial black holes (PBHs) will be reviewed, with particular emphasis on their formation and evaporation. PBHs could provide a unique probe of the early Universe, gravitational collapse, high energy physics and quantum gravity. Indeed their study may place interesting constraints on the physics relevant to these areas even if they never formed.

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Recombining WMAP: constraints on ionizing and resonance radiation at   recombination

Published Paper #: 154

Authors:, Rachel Bean, Alessandro Melchiorri, Joe Silk,

Journal: Phys.Rev.D68:083501,2003

url: http://arxiv.org/pdf/astro-ph/0306357v2.pdf

Abstract: We place new constraints on sources of ionizing and resonance radiation at the epoch of the recombination process using the recent CMB temperature and polarization spectra coming from WMAP. We find that non-standard recombination scenarios are still consistent with the current data. In light of this we study the impact that such models can have on the determination of several cosmological parameters. In particular, the constraints on curvature and baryon density appear to be weakly affected by a modified recombination scheme. However, it may affect the current WMAP constraints on inflationary parameters like the spectral index and its running. Physically motivated models, like those based on primordial black hole or super heavy dark matter decay, are able to provide a good fit to the current data. Future observations in both temperature and polarization will be needed to more stringently test these models.

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Dark matter and stable bound states of primordial black holes

Published Paper #: 153

Authors:, L. K. Chavda, Abhijit L. Chavda,

Journal: Class.Quant.Grav. 19 (2002) 2927

url: http://arxiv.org/pdf/gr-qc/0308054v1.pdf

Abstract: We present three reasons for the formation of gravitational bound states of primordial black holes,called holeums,in the early universe.Using Newtonian gravity and nonrelativistic quantum mechanics we find a purely quantum mechanical mass-dependant exclusion property for the nonoverlap of the constituent black holes in a holeum.This ensures that the holeum occupies space just like ordinary matter.A holeum emits only gravitational radiation whose spectrum is an exact analogue of that of a hydrogen atom. A part of this spectrum lies in the region accessible to the detectors being built.The holeums would form haloes around the galaxies and would be an important component of the dark matter in the universe today.They may also be the constituents of the invisible domain walls in the universe.

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Gravitational Waves from Sub-lunar Mass Primordial Black Hole Binaries -   A New Probe of Extradimensions

Published Paper #: 152

Authors:, Kaiki Taro Inoue, Takahiro Tanaka,

Journal: Phys.Rev.Lett. 91 (2003) 021101

url: http://arxiv.org/pdf/gr-qc/0303058v2.pdf

Abstract: In many braneworld models, gravity is largely modified at the electro-weak scale ~ 1TeV. In such models, primordial black holes (PBHs) with lunar mass M ~ 10^{-7}M_sun might have been produced when the temperature of the universe was at ~ 1TeV. If a significant fraction of the dark halo of our galaxy consists of these lunar mass PBHs, a huge number of BH binaries will exist in our neighborhood. Third generation detectors such as EURO can detect gravitational waves from these binaries, and can also determine their chirp mass. With a new detector designed to be sensitive at high frequency bands greater than 1 kHz, the existence of extradimensions could be confirmed.

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Cosmic Black Holes

Published Paper #: 151

Authors:, Eun-Joo Ahn, Marco Cavaglia,

Journal: Int.J.Mod.Phys.D12:1699-1704,2003

url: http://arxiv.org/pdf/hep-ph/0306189v1.pdf

Abstract: Production of high-energy gravitational objects is a common feature of gravitational theories. The primordial universe is a natural setting for the creation of black holes and other nonperturbative gravitational entities. Cosmic black holes can be used to probe physical properties of the very early universe which would usually require the knowledge of the theory of quantum gravity. They may be the only tool to explore thermalisation of the early universe. Whereas the creation of cosmic black holes was active in the past, it seems to be negligible at the present epoch.

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Formation of the First Supermassive Black Holes

Published Paper #: 150

Authors:, Volker Bromm, Abraham Loeb,

Journal: Astrophys.J. 596 (2003) 34-46

url: http://arxiv.org/pdf/astro-ph/0212400v2.pdf

Abstract: We consider the physical conditions under which supermassive black holes could have formed inside the first galaxies. Our SPH simulations indicate that metal-free galaxies with a virial temperature ~10^4 K and with suppressed H2 formation (due to an intergalactic UV background) tend to form a binary black hole system which contains a substantial fraction (>10%) of the total baryonic mass of the host galaxy. Fragmentation into stars is suppressed without substantial H2 cooling. Our simulations follow the condensation of ~5x10^6 M_sun around the two centers of the binary down to a scale of < 0.1pc. Low-spin galaxies form a single black hole instead. These early black holes lead to quasar activity before the epoch of reionization. Primordial black hole binaries lead to the emission of gravitational radiation at redshifts z>10 that would be detectable by LISA.

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New Classes of Cosmic Energy and Primordial Black-Hole Formation

Published Paper #: 149

Authors:, K. Ichiki, M. Orito, T. Kajino,

Journal: Astropart.Phys. 20 (2004) 499-505

url: http://arxiv.org/pdf/astro-ph/0306017v1.pdf

Abstract: It has recently been suggested that the formation of horizon-size primordial black hole (PBH) from pre-existing density fluctuations is effective during the cosmic QCD phase transition.   In this Letter we discuss the dependence of PBH formation on effective relativistic degrees of freedom, $g_{\rm eff}$ during the cosmic QCD phase transition.   Our finding is important in the light of recent cosmological arguments of several new classes of cosmic energy that appear from universal neutrino degeneracy, quintessential inflation, and dark radiation in brane world cosmology. Extra-energy component from the standard value in these new cosmological theories is represented as an effective radiation in terms of $g_{\rm eff}$. We conclude that the PBH formation during QCD phase transition becomes more efficient if negative extra-component of the cosmic energy is allowed because of the increase of the duration of the QCD phase transition, which leads to smaller mass scale of PBHs. This suggests larger probability of finding more PBHs if the dark radiation exists as allowed in the brane world cosmology.

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Spatial Origin of Galactic Cosmic Rays in Diffusion Models: II- Exotic   Primary Cosmic Rays

Published Paper #: 148

Authors:, David Maurin, Richard Taillet,

Journal: Astron.Astrophys.404:949-958,2003

url: http://arxiv.org/pdf/astro-ph/0212113v2.pdf

Abstract: In a companion paper, we investigated the question of the spatial origin of the cosmic rays detected in the Solar neighborhood, in the case of standard sources located in the Galactic disk. There are some reasons to believe that there may also be a large number of sources located in the halo, for example if the Galactic dark matter is made of supersymmetric particles or if Primordial Black Holes are present. These exotic sources could enhance the $\bar{p}$, $\bar{d}$ or positrons above the standard background, indicating the existence of new physics. The spatial distribution of these hypothetical sources, though an important ingredient to evaluate these exotic signals, is poorly known. The aim of this paper is to point out that this discussion should not be disconnected from that of the propagation properties in the Galaxy. More precisely, we determine the regions of the halo from which a significant fraction f of cosmic rays antiprotons and antideuterons detected in the Solar neighborhood were emitted (we refer to these regions as f-volumes), for different sets of propagation parameters consistent with B/C data, as derived in Maurin et al (2002). It is found that some of them lead to rather small f-volumes, indicating that the exotic cosmic rays could have a local origin (in particular for a small halo or a large Galactic convective wind), coming from the solar neighborhood or the Galactic center region. It is also found that the dark matter density enhancement (spike) due to the accretion around the central supermassive black hole gives a negligible contribution to the exotic charged particle signal on Earth. The case of electrons and positrons is also discussed.

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Primordial black holes in braneworld cosmologies: astrophysical   constraints

Published Paper #: 147

Authors:, Dominic Clancy, Raf Guedens, Andrew R Liddle,

Journal: Phys.Rev. D68 (2003) 023507

url: http://arxiv.org/pdf/astro-ph/0301568v2.pdf

Abstract: In two recent papers we explored the modifications to primordial black hole physics when one moves to the simplest braneworld model, Randall--Sundrum type II. Both the evaporation law and the cosmological evolution of the population can be modified, and additionally accretion of energy from the background can be dominant over evaporation at high energies. In this paper we present a detailed study of how this impacts upon various astrophysical constraints, analyzing constraints from the present density, from the present high-energy photon background radiation, from distortion of the microwave background spectrum, and from processes affecting light element abundances both during and after nucleosynthesis. Typically, the constraints on the formation rate of primordial black holes weaken as compared to the standard cosmology if black hole accretion is unimportant at high energies, but can be strengthened in the case of efficient accretion.

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The Generalized Uncertainty Principle, entropy bounds and black hole   (non-)evaporation in a thermal bath

Published Paper #: 146

Authors:, P. S. Custodio, J. E. Horvath,

Journal: Class.Quant.Grav. 20 (2003) L197-L203

url: http://arxiv.org/pdf/gr-qc/0305022v1.pdf

Abstract: We apply the Generalized Uncertainty Principle (GUP) to the problem of maximum entropy and evaporation/absorption of energy of black holes near the Planck scale. We find within this general approach corrections to the maximum entropy, and indications for quenching of the evaporation because not only the evaporation term goes to a finite limit, but also because absorption of quanta seems to help the balance for black holes in a thermal bath. Then, residual masses around the Planck scale may be the final outcome of primordial black hole evaporation.

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Direct Mapping of Massive Compact Objects in Extragalactic Dark Halos

Published Paper #: 145

Authors:, Kaiki Taro Inoue, Masashi Chiba,

Journal: Astrophys.J. 591 (2003) L83

url: http://arxiv.org/pdf/astro-ph/0304474v1.pdf

Abstract: A significant fraction of non-baryonic or baryonic dark matter in galactic halos may consist of MASsive Compact Objects (MASCOs) with mass M=10^{1-4}M_{sun}. Possible candidates for such compact objects include primordial black holes or remnants of primordial (Population III) stars. We propose a method for directly detecting MASCOs in extragalactic halos, using the VLBI techniques with extremely high resolution. If a galactic halo comprising a large number of MASCOs produces multiple images of a background radio-loud QSO by gravitational lensing, then a high-resolution radio map of each macro-lensed image should reveal microlensing effects by MASCOs. To assess their observational feasibility, we simulate microlensing of the radio-loud, four-image lensed QSO, B1422+231, assuming angular resolution of ~0.01 mas. MASCOs are represented by point masses. For comparison, we also simulate microlensing of B1422+231 by singular isothermal spheres. We find that the surface brightness of the macro-lensed images shows distinct spatial patterns on the scale of the Einstein radius of the perturbers. In the case of point-mass perturbers, many tiny dark spots also appear in the macro-lensed images associated with a decrease in the surface brightness toward the fringe of the original QSO image, whereas no such spots are available in the SIS models. Based on the size, position and magnified or demagnified patterns of images, we shall be able to determine the mass and density profile of a MASCO as well as its spatial distribution and abundance in a galactic halo.

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Black hole growth and activity in a LambdaCDM Universe

Published Paper #: 144

Authors:, Tiziana Di Matteo, Rupert A. C. Croft, Volker Springel, Lars Hernquist,

Journal: Astrophys.J. 593 (2003) 56-68

url: http://arxiv.org/pdf/astro-ph/0301586v2.pdf

Abstract: (abridged) The observed properties of supermassive black holes suggest a fundamental link between their assembly and the formation of their host spheroids. We model the growth and activity of black holes in galaxies using LambdaCDM cosmological hydrodynamic simulations by following the evolution of the baryonic mass component in galaxy potential wells. We find that the observed steep relation between black hole mass and spheroid velocity dispersion, M_BH propto \sigma^4, is reproduced if the gas mass in bulges is linearly proportional to the black hole mass. In this model, black hole growth saturates because of the competition with star-formation and feedback, both of which determine the gas fraction available for accretion. Unless other processes also operate, we predict that the M_BH-sigma$ relation is not set in primordial structures but is fully established at low redshifts, $z \approxlt 2$, and is shallower at earlier times. We find that that central black hole masses are related to their dark matter halos simply via M_BH ~ M_DM^4/3. We assume that galaxies undergo a quasar phase with a typical lifetime, t_Q ~ 2\times 10^7 yr and show that star-formation regulated depletion of gas in spheroids can explain the decrease of the quasar population at redshift z<3 in the optical blue band. However, with the simplest assumption of a redshift independent quasar lifetime, the model overpredicts optical quasar numbers at high redshifts although it yields the observed evolution of number density of X-ray quasars over the redshift range 1 < z< 6. Finally, we find that the majority of black hole mass is assembled in galaxies by z ~ 3 and that the black hole accretion rate density peaks in rough correspondence to the star formation rate density at z ~ 4-5.

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Unusual Features of Varying Speed of Light Cosmologies

Published Paper #: 143

Authors:, John D. Barrow,

Journal: Phys.Lett. B564 (2003) 1-7

url: http://arxiv.org/pdf/gr-qc/0211074v2.pdf

Abstract: We contrast features of simple varying speed of light (VSL) cosmologies with inflationary universe models. We present new features of VSL cosmologies and show that they face problems explaining the cosmological isotropy problem. We also find that if c falls fast enough to solve the flatness and horizon problems then the quantum wavelengths of massive particle states and the radii of primordial black holes can grow to exceed the scale of the particle horizon. This may provide VSL cosmologies with a self-reproduction property. The constraint of entropy increase is also discussed. The new problems described in the this letter provide a set of bench tests for more sophisticated VSL theories to pass.

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Primordial braneworld black holes: significant enhancement of lifetimes   through accretion

Published Paper #: 142

Authors:, A. S. Majumdar,

Journal: Pramana62:737-740,2004

url: http://arxiv.org/pdf/astro-ph/0303250v1.pdf

Abstract: The Randall-Sundrum (RS-II) braneworld cosmological model with a fraction of the total energy density in primordial black holes is considered. Due to their 5-d geometry these black holes undergo modified Hawking evaporation. It is shown that during the high energy regime accretion from the surrounding radiation bath is dominant compared to evaporation. This effect increases the mass of the black holes till the onset of matter (or black hole) domination of the total energy density. Thus black holes with even very small initial masses could survive till several cosmologically interesting eras.

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Advances in String Theory in Curved Backgrounds: A Synthesis Report

Published Paper #: 141

Authors:, Norma G. Sanchez,

Journal: Int.J.Mod.Phys.A18:2011-2024,2003

url: http://arxiv.org/pdf/hep-th/0302228v1.pdf

Abstract: A synthetic report of the advances in the study of classical and quantum string dynamics in curved backgrounds is provided, namely: the new feature of multistring solutions; the effect of a cosmological constant and of spacial curvature on classical and quantum strings; classical splitting of fundamental strings;the general string evolution in constant curvature spacetimes;the conformal invariant effects;strings on plane waves, shock waves and spacetime singularities and its spectrum. New developments in string gravity and string cosmology are reported: string driven cosmology and its predictions;the primordial gravitation wave background; non-singular string cosmologies from exact conformal field theories;QFT, string temperature and the string phase of de Sitter space; the string phase of black holes;new dual relation between QFT regimes and string regimes and the 'QFT/String Tango'; new coherent string states and minimal uncertainty principle in string theory

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Charge Asymmetry in the Brane World and Formation of Charged Black Holes

Published Paper #: 140

Authors:, Herman J. Mosquera Cuesta, André Penna-Firme, Abdel Pérez-Lorenzana,

Journal: Phys.Rev.D67:087702,2003

url: http://arxiv.org/pdf/hep-ph/0203010v2.pdf

Abstract: In theories with an infinite extra dimension, free particles localized on the brane can leak out to the extra space. We argue that if there were color confinement in the bulk, electrons would be more able to escape than quarks and than protons (which are composed states). Thus, this process generates an electric charge asymmetry on brane matter densities. A primordial charge asymmetry during Big Bang Nucleosynthesis era is predicted. We use current bounds on this and on electron disappearance to constrain the parameter space of these models. Although the generated asymmetry is generically small, it could be particularly enhanced on large densities as in astrophysical objects, like massive stars. We suggest the possibility that such accumulation of charge may be linked, upon supernova collapse, to the formation of a charged Black Hole and the generation of Gamma-Ray Bursts.

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Primordial Black Holes as Dark Matter: The Power Spectrum and   Evaporation of Early Structures

Published Paper #: 139

Authors:, N. Afshordi, P. McDonald, D. N. Spergel,

Journal: Astrophys.J. 594 (2003) L71-L74

url: http://arxiv.org/pdf/astro-ph/0302035v1.pdf

Abstract: We consider the possibility that massive primordial black holes are the dominant form of dark matter. Black hole formation generates entropy fluctuations that adds a Poisson noise to the matter power spectrum. We use Lyman-alpha forest observations to constrain this Poisson term in matter power spectrum, then we constrain the mass of black holes to be less than few times 10^4 solar mass. We also find that structures with less than ~ 10^3 primordial black holes evaporate by now.

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Black Hole Astrophysics in AdS Braneworlds

Published Paper #: 138

Authors:, Roberto Emparan, Juan Garcia-Bellido, Nemanja Kaloper,

Journal: JHEP 0301 (2003) 079

url: http://arxiv.org/pdf/hep-th/0212132v2.pdf

Abstract: We consider astrophysics of large black holes localized on the brane in the infinite Randall-Sundrum model. Using their description in terms of a conformal field theory (CFT) coupled to gravity, deduced in Ref. [1], we show that they undergo a period of rapid decay via Hawking radiation of CFT modes. For example, a black hole of mass ${\rm few} \times M_\odot$ would shed most of its mass in $\sim 10^4 - 10^5$ years if the AdS radius is $L \sim 10^{-1}$ mm, currently the upper bound from table-top experiments. Since this is within the mass range of X-ray binary systems containing a black hole, the evaporation enhanced by the hidden sector CFT modes could cause the disappearance of X-ray sources on the sky. This would be a striking signature of RS2 with a large AdS radius. Alternatively, for shorter AdS radii, the evaporation would be slower. In such cases, the persistence of X-ray binaries with black holes already implies an upper bound on the AdS radius of $L \la 10^{-2}$ mm, an order of magnitude better than the bounds from table-top experiments. The observation of primordial black holes with a mass in the MACHO range $M \sim 0.1 - 0.5 M_\odot$ and an age comparable to the age of the universe would further strengthen the bound on the AdS radius to $L \la {\rm few} \times 10^{-6} $ mm.

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Antideuterons as a probe of primordial black holes

Published Paper #: 137

Authors:, A. Barrau, G. Boudoul, F. Donato, D. Maurin, P. Salati, I. Stefanon, R. Taillet,

Journal: Astron.Astrophys.398:403-410,2003

url: http://arxiv.org/pdf/astro-ph/0207395v3.pdf

Abstract: In most cosmological models, primordial black holes (PBHs) should have formed in the early Universe. Their Hawking evaporation into particles could eventually lead to the formation of antideuterium nuclei. This paper is devoted to a first computation of this antideuteron flux. The production of these antinuclei is studied with a simple coalescence scheme, and their propagation in the Galaxy is treated with a well-constrained diffusion model. We compare the resulting primary flux to the secondary background, due to the spallation of protons on the interstellar matter. Antideuterons are shown to be a very sensitive probe for primordial black holes in our Galaxy. The next generation of experiments should allow investigators to significantly improve the current upper limit, nor even provide the first evidence of the existence of evaporating black holes.

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The First Sources of Light

Published Paper #: 136

Authors:, Volker Bromm, Abraham Loeb,

Journal: AIP Conf.Proc. 666 (2003) 73-84

url: http://arxiv.org/pdf/astro-ph/0301406v2.pdf

Abstract: We review recent theoretical results on the formation of the first stars and quasars in the universe, and emphasize related open questions. In particular, we list important differences between the star formation process at high redshifts and in the present-day universe. We address the importance of heavy elements in bringing about the transition from an early star formation mode dominated by massive stars, to the familiar mode dominated by low mass stars, at later times. We show how gamma-ray bursts can be utilized to probe the first epoch of star formation. Finally, we discuss how the first supermassive black holes could have formed through the direct collapse of primordial gas clouds.

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Holographic Principle bounds on Primordial Black Hole abundances

Published Paper #: 135

Authors:, P. S. Custodio, J. E. Horvath,

Journal: Class.Quant.Grav. 20 (2003) 813-826

url: http://arxiv.org/pdf/gr-qc/0301064v1.pdf

Abstract: The generalized Second Law of thermodynamics and the Holographic Principle are combined to obtain the maximum mass of black holes formed inside a static spherical box of size $R$ filled with radiation at initial temperature $T_{i}$. The final temperature after the formation of black holes is evaluated, and we show that a critical threshold exists for the radiation to be fully consumed by the process. We next argue that if some form of Holographic Principle holds, upper bounds to the mass density of PBHs formed in the early universe may be obtained. The limits are worked out for inflationary and non-inflationary cosmological models. This method is independent of the known limits based on the background fluxes (from cosmic rays, radiation and other forms of energy) and applies to potentially important epochs of PBH formation, resulting in quite strong constraints to $\Omega_{pbh}$.

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Domination of black hole accretion in brane cosmology

Published Paper #: 134

Authors:, A. S. Majumdar,

Journal: Phys.Rev.Lett. 90 (2003) 031303

url: http://arxiv.org/pdf/astro-ph/0208048v2.pdf

Abstract: We consider the evolution of primordial black holes formed during the high energy phase of the braneworld scenario. We show that the effect of accretion from the surrounding radiation bath is dominant compared to evaporation for such black holes. This feature lasts till the onset of matter (or black hole) domination of the total energy density which could occur either in the high energy phase or later. We find that the black hole evaporation times could be significantly large even for black holes with small initial mass to survive till several cosmologically interesting eras.

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Bouncing and cyclic universes from brane models

Published Paper #: 133

Authors:, Sudipta Mukherji, Marco Peloso,

Journal: Phys.Lett. B547 (2002) 297-305

url: http://arxiv.org/pdf/hep-th/0205180v4.pdf

Abstract: We consider a D3-brane as boundary of a five dimensional charged anti de Sitter black hole. We show that the charge of the black hole induces a regular cosmological evolution for the scale factor of the brane, with a smooth transition between a contracting and an eventual expanding phase. Simple analytical solutions can be obtained in the case of a vanishing effective cosmological constant on the brane. A nonvanishing cosmological constant, or the inclusion of radiation on the brane, does not spoil the regularity of these solutions at small radii, and observational constraints such as the ones from primordial nucleosynthesis can be easily met. Fluctuations of brane fields remain in the linear regime provided the minimal size of the scale factor is sufficiently large. We conclude with an analysis of the Cardy-Verlinde formula in this set up.

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Accurate results for primordial black holes from spectra with a   distinguished scale

Published Paper #: 132

Authors:, David Blais, Torsten Bringmann, Claus Kiefer, David Polarski,

Journal: Phys.Rev. D67 (2003) 024024

url: http://arxiv.org/pdf/astro-ph/0206262v2.pdf

Abstract: We perform an accurate computation of the production rate for primordial black holes (PBHs). The reason is that the underlying mass variance had been overestimated systematically, as was shown recently. For scale-free powerlaw primordial spectra, and for a Universe with critical density, the mass variance is less than 34% of its value thought earlier for the spectral index in the range $1\leq n\leq 1.3$. We then extend our study to spectra with a characteristic scale and find the accurate shape of the corresponding mass variance. For a pure step in the primordial spectrum, the step in the variance is smoothed around the characteristic scale $k_s$. For a spectrum with large oscillations near $k_s$, we find a pronounced bump in the variance. This could yield a significant part of the cold dark matter in the form of PBHs with mass $M$ in the range $5\times 10^{15} {\rm g}\lesssim M \lesssim 10^{21} {\rm g}$.

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Galactic Cosmic Rays from PBHs and Primordial Spectra with a Scale

Published Paper #: 131

Authors:, A. Barrau, D. Blais, G. Boudoul, D. Polarski,

Journal: Phys.Lett. B551 (2003) 218-225

url: http://arxiv.org/pdf/astro-ph/0210149v2.pdf

Abstract: We consider the observational constraints from the detection of antiprotons in the Galaxy on the amount of Primordial Black Holes (PBH) produced from primordial power spectra with a bumpy mass variance. Though essentially equivalent at the present time to the constraints from the diffuse $\gamma$-ray background, they allow a widely independent approach and they should improve sensibly in the nearby future. We discuss the resulting constraints on inflationary parameters using a Broken Scale Invariance (BSI) model as a concrete example.

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Cosmic Evolution and Primordial Black Hole Evaporation

Published Paper #: 130

Authors:, I. Brevik, G. Halnes,

Journal: Phys.Rev.D67:023508,2003

url: http://arxiv.org/pdf/gr-qc/0208030v2.pdf

Abstract: A cosmological model in which primordial black holes (PBHs) are present in the cosmic fluid at some instant t=t_0 is investigated. The time t_0 is naturally identified with the end of the inflationary period. The PBHs are assumed to be nonrelativistic in the comoving fluid, to have the same mass, and may be subject to evaporation for t>t_0. Our present work is related to an earlier paper of Zimdahl and Pavon [Phys. Rev. D {\bf 58}, 103506 (1998)], but in contradistinction to these authors we assume that the (negative) production rate of the PBHs is zero. This assumption appears to us to be more simple and more physical. Consequences of the formalism are worked out. In particular, the four-divergence of the entropy four-vector in combination with the second law in thermodynamics show in a clear way how the the case of PBH evaporation corresponds to a production of entropy. Accretion of radiation onto the black holes is neglected. We consider both a model where two different sub-fluids interact, and a model involving one single fluid only. In the latter case an effective bulk viscosity naturally appears in the formalism.

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Tolman-Bondi collapse in scalar-tensor theories as a probe of   gravitational memory

Published Paper #: 129

Authors:, T. Harada, C. Goymer, B. J. Carr,

Journal: Phys.Rev.D66:104023,2002

url: http://arxiv.org/pdf/astro-ph/0112563v3.pdf

Abstract: In cosmological models with a varying gravitational constant, it is not clear whether primordial black holes preserve the value of $G$ at their formation epoch. We investigate this question by using the Tolman-Bondi model to study the evolution of a background scalar field when a black hole forms from the collapse of dust in a flat Friedmann universe. Providing the back reaction of the scalar field on the metric can be neglected, we find that the value of the scalar field at the event horizon very quickly assumes the background cosmological value. This suggests that there is very little gravitational memory.

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Primordial black holes in braneworld cosmologies: Accretion after   formation

Published Paper #: 128

Authors:, Raf Guedens, Dominic Clancy, Andrew R Liddle,

Journal: Phys.Rev. D66 (2002) 083509

url: http://arxiv.org/pdf/astro-ph/0208299v2.pdf

Abstract: We recently studied the formation and evaporation of primordial black holes in a simple braneworld cosmology, namely Randall-Sundrum Type II. Here we study the effect of accretion from the cosmological background onto the black holes after formation. While it is generally believed that in the standard cosmology such accretion is of negligible importance, we find that during the high-energy regime of braneworld cosmology accretion can be the dominant effect and lead to a mass increase of potentially orders of magnitude. However, unfortunately the growth is exponentially sensitive to the accretion efficiency, which cannot be determined accurately. Since accretion becomes unimportant once the high-energy regime is over, it does not affect any constraints expressed at the time of black hole evaporation, but it can change the interpretation of those constraints in terms of early Universe formation rates.

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Uniqueness of Self-Similar Asymptotically Friedmann-Robertson-Walker   Spacetime in Brans-Dicke theory

Published Paper #: 127

Authors:, Hideki Maeda, Jun-ichirou Koga, Kei-ichi Maeda,

Journal: Phys.Rev.D66:087501,2002

url: http://arxiv.org/pdf/gr-qc/0205109v2.pdf

Abstract: We investigate spherically symmetric self-similar solutions in Brans-Dicke theory. Assuming a perfect fluid with the equation of state $p=(\gamma-1)\mu (1 \le \gamma<2)$, we show that there are no non-trivial solutions which approach asymptotically to the flat Friedmann-Robertson-Walker spacetime if the energy density is positive. This result suggests that primordial black holes in Brans-Dicke theory cannot grow at the same rate as the size of the cosmological particle horizon.

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Origin of Correlations between Central Black Holes Masses and Galactic   Bulge Velocity Dispersions

Published Paper #: 126

Authors:, V. I. Dokuchaev, Yu. N. Eroshenko,

Journal: Astron.Astrophys.Trans.22:727,2003

url: http://arxiv.org/pdf/astro-ph/0209324v1.pdf

Abstract: We argue that the observed correlations between central black holes masses M_{BH} and galactic bulge velocity dispersions \sigma_e in the form M_{BH}\propto\sigma_e^4 may witness on the pregalactic origin of massive black holes. Primordial black holes would be the centers for growing protogalaxies which experienced multiple mergers with ordinary galaxies. This process is accompanied by the merging of black holes in the galactic nuclei.

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Thermodynamic constraint on the primordial black hole formation in the   radiation dominated epoch

Published Paper #: 125

Authors:, Hyun Kyu Lee,

Journal: Phys.Rev. D66 (2002) 063001

url: http://arxiv.org/pdf/hep-ph/0207256v1.pdf

Abstract: It has been suggested that the overdense region as a result of inhomogeneities in the early Universe would have undergone a collapse into the primordial black holes(PBH). In this work, we discuss a possible constraint on the PBH formation in the radiation dominated epoch by imposing the generalized second law of thermodynamics in the context of spherically collapsing scenario. It is found that both the critical temperature $T_c$ over which the formation of PBH is not possible and the lower bound on the mass of PBH depend on the number of degrees of freedom at the time of PBH formation. In the standard model, one can show that the lower bound on the mass of PBH known in the literature, of order Planck mass, is consistent with the thermodynamic constraint constructed in this work. We also pointed out the possibility that the critical temperature(lower bound on PBH mass) can be lowered(increased) provided the number of relativistic degrees of freedom of the Universe is increasing substantially beyond the standard model.

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Primordial black holes in braneworld cosmologies: Formation,   cosmological evolution and evaporation

Published Paper #: 124

Authors:, Raf Guedens, Dominic Clancy, Andrew R Liddle,

Journal: Phys.Rev.D66:043513,2002

url: http://arxiv.org/pdf/astro-ph/0205149v2.pdf

Abstract: We consider the population evolution and evaporation of primordial black holes in the simplest braneworld cosmology, Randall-Sundrum type II. We demonstrate that black holes forming during the high-energy phase of this theory (where the expansion rate is proportional to the density) have a modified evaporation law, resulting in a longer lifetime and lower temperature at evaporation, while those forming in the standard regime behave essentially as in the standard cosmology. For sufficiently large values of the AdS radius, the high-energy regime can be the one relevant for primordial black holes evaporating at key epochs such as nucleosynthesis and the present. We examine the formation epochs of such black holes, and delimit the parameter regimes where the standard scenario is significantly modified.

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Cosmological constraints from evaporations of primordial black holes

Published Paper #: 123

Authors:, E. V. Bugaev, K. V. Konishchev,

Journal: Phys.Rev. D66 (2002) 084004

url: http://arxiv.org/pdf/astro-ph/0206082v1.pdf

Abstract: The formula for the initial mass spectrum of primordial black holes (PBHs), which can be used for a general case of the scale dependent spectral index, and for a wide class of models of the gravitational collapse, is derived. The derivation is based on the Press and Schechter formalism. The comparative analysis of different types of initial mass spectra used in concrete calculations is carried out. It is shown that densities of background radiations ($\nu$, $\gamma$) from PBH evaporations depend rather strongly on a type of the gravitational collapse and on a taking into account the spread of horizon masses at which PBHs can form. Constraints on parameters of the primordial density perturbation amplitudes based on PBH evaporation processes and on atmospheric and solar neutrino data are obtained.

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Black Hole Remnants and Dark Matter

Published Paper #: 122

Authors:, Pisin Chen, Ronald J. Adler,

Journal: Nucl.Phys.Proc.Suppl. 124 (2003) 103-106

url: http://arxiv.org/pdf/gr-qc/0205106v1.pdf

Abstract: We argue that, when the gravity effect is included, the generalized uncertainty principle (GUP) may prevent black holes from total evaporation in a similar way that the standard uncertainty principle prevents the hydrogen atom from total collapse. Specifically we invoke the GUP to obtain a modified Hawking temperature, which indicates that there should exist non-radiating remnants (BHR) of about Planck mass. BHRs are an attractive candidate for cold dark matter. We investigate an alternative cosmology in which primordial BHRs are the primary source of dark matter.

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Could supermassive black holes be quintessential primordial black holes?

Published Paper #: 121

Authors:, Rachel Bean, Joao Magueijo,

Journal: Phys.Rev. D66 (2002) 063505

url: http://arxiv.org/pdf/astro-ph/0204486v1.pdf

Abstract: There is growing observational evidence for a population of supermassive black holes (SMBHs) in galactic bulges. We examine in detail the conditions under which these black holes must have originated from primordial black holes (PBHs). We consider the merging and accretion history experienced by SMBHs to find that, whereas it is possible that they were formed by purely astrophysical processes, this is unlikely and most probably a populations of primordial progenitors is necessary. We identify the mass distribution and comoving density of this population and then propose a cosmological scenario producing PBHs with the right properties. Although this is not essential we consider PBHs produced at the end of a period of inflation with a blue spectrum of fluctuations. We constrain the value of the spectral tilt in order to obtain the required PBH comoving density. We then assume that PBHs grow by accreting quintessence showing that their mass scales like the horizon mass while the quintessence field itself is scaling. We find that if scaling is broken just before nucleosynthesis (as is the case with some attractive non-minimally coupled models) we obtain the appropriate PBH mass distribution. Hawking evaporation is negligible in most cases, but we also discuss situations in which the interplay of accretion and evaporation is relevant.

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What did we learn from studying acoustic black holes ?

Published Paper #: 120

Authors:, Renaud Parentani,

Journal: Int.J.Mod.Phys. A17 (2002) 2721-2726

url: http://arxiv.org/pdf/gr-qc/0204079v1.pdf

Abstract: The study of acoustic black holes has been undertaken to provide new insights about the role of high frequencies in black hole evaporation. Because of the infinite gravitational redshift from the event horizon, Hawking quanta emerge from configurations which possessed ultra high (trans-Planckian) frequencies. Therefore Hawking radiation cannot be derived within the framework of a low energy effective theory; and in all derivations there are some assumptions concerning Planck scale physics. The analogy with condensed matter physics was thus introduced to see if the asymptotic properties of the Hawking phonons emitted by an acoustic black hole, namely stationarity and thermality, are sensitive to the high frequency physics which stems from the granular character of matter and which is governed by a non-linear dispersion relation. In 1995 Unruh showed that they are not sensitive in this respect, in spite of the fact that phonon propagation near the (acoustic) horizon drastically differs from that of photons. In 2000 the same analogy was used to establish the robustness of the spectrum of primordial density fluctuations in inflationary models. This analogy is currently stimulating research for experimenting Hawking radiation. Finally it could also be a useful guide for going beyond the semi-classical description of black hole evaporation.

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Can Primordial Black Holes be a Significant Part of Dark Matter ?

Published Paper #: 119

Authors:, David Blais, Claus Kiefer, David Polarski,

Journal: Phys.Lett. B535 (2002) 11-16

url: http://arxiv.org/pdf/astro-ph/0203520v2.pdf

Abstract: The computation of PBH (primordial black hole) production from primordial perturbations has recently been improved by considering a more accurate relation between the primordial power spectrum and the PBH mass variance. We present here exact expressions which are valid for primordial spectra of arbitrary shape and which allow accurate numerical calculations. We then consider the possibility to have a significant part of dark matter in the form of PBHs produced by a primordial spectrum of inflationary origin possessing a characteristic scale. We show that in this model the relevant PBH mass is constrained to lie in the range $5\times 10^{15} {\rm g}\lesssim M \lesssim 10^{21} {\rm g}$. This is much less than the mass range coming from the QCD phase transition, allowing the two mechanisms to be easily distinguished.

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The Inflaton Field as Self-Interacting Dark Matter in the Braneworld   Scenario

Published Paper #: 118

Authors:, James E. Lidsey, Tonatiuh Matos, L. Arturo Urena-Lopez,

Journal: Phys.Rev.D66:023514,2002

url: http://arxiv.org/pdf/astro-ph/0111292v2.pdf

Abstract: A unified model is developed within the context of the braneworld paradigm, where a single scalar field can act as both the inflaton field in the very early universe and also as strong, self-interacting dark matter in the post-inflationary universe. Reheating proceeds due to the overproduction and subsequent evaporation of primordial black holes. Observational constraints, most notably from gravitational waves, are satisfied if the probability of PBH formation is sufficiently high.

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First stars, very massive black holes and metals

Published Paper #: 117

Authors:, R. Schneider, A. Ferrara, P. Natarajan, K. Omukai,

Journal: Astrophys.J. 571 (2002) 30-39

url: http://arxiv.org/pdf/astro-ph/0111341v3.pdf

Abstract: Recent studies suggest that the initial mass function (IMF) of the first stars was likely to be extremely top-heavy, unlike what is observed at present. We propose a scenario to generate fragmentation to lower masses once the first massive stars have formed and derive constraints on the primordial IMF. We estimate the mass fraction of pair-unstable supernovae, shown to be the dominant sources of the first heavy elements. These metals enrich the gas up to about $10^{-5}$ solar metallicity, when a transition to efficient cooling-driven fragmentation occurs producing 1 solar mass clumps. We argue that the remaining fraction of the first stars ends up in 100 solar mass VMBHs (Very Massive Black Holes). We obtain constraints on the fraction of first stars that contribute to the initial metal enrichment and the transition redshift for primordial IMF away from a top-heavy one, by making various assumptions about the fate of these VMBHs at late times. We conclude with a discussion of several hitherto unexplored implications of a high-mass dominated star formation mode in the early Universe.

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Dynamics of a large extra dimension inspired hybrid inflation model

Published Paper #: 116

Authors:, Anne M Green, Anupam Mazumdar,

Journal: Phys.Rev. D65 (2002) 105022

url: http://arxiv.org/pdf/hep-ph/0201209v2.pdf

Abstract: In low scale quantum gravity scenarios the fundamental scale of nature can be as low as TeV, in order to address the naturalness of the electroweak scale. A number of difficulties arise in constructing specific models; stabilisation of the radius of the extra dimensions, avoidance of overproduction of Kaluza Klein modes, achieving successful baryogenesis and production of a close to scale-invariant spectrum of density perturbations with the correct amplitude. We examine in detail the dynamics, including radion stabilisation, of a hybrid inflation model that has been proposed in order to address these difficulties, where the inflaton is a gauge singlet residing in the bulk. We find that for a low fundamental scale the phase transition, which in standard four dimensional hybrid models usually ends inflation, is slow and there is second phase of inflation lasting for a large number of e-foldings. The density perturbations on cosmologically interesting scales exit the Hubble radius during this second phase of inflation, and we find that their amplitude is far smaller than is required. We find that the duration of the second phase of inflation can be short, so that cosmologically interesting scales exit the Hubble radius prior to the phase transition, and the density perturbations have the correct amplitude, only if the fundamental scale takes an intermediate value. Finally we comment briefly on the implications of an intermediate fundamental scale for the production of primordial black holes and baryogenesis.

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The evolution of primordial black hole masses in the radiation-   dominated era

Published Paper #: 115

Authors:, P. S. Custodio, J. E. Horvath,

Journal: Gen.Rel.Grav. 34 (2002) 1895-1907

url: http://arxiv.org/pdf/gr-qc/0203031v1.pdf

Abstract: We revisit the problem of PBH mass evolution in the radiation-dominated era. We solve the complete differential equation in the semiclassical regime with absorption and evaporation terms and show that PBHs can gain very little mass, if at all, in this era. Relativistic proper motion of PBHs respect to the CMBR, as a possible loophole in the growth argument, is shown to be unlikely. Finally we demonstrate that PBHs can not remain in thermodynamical equilibrium with the ambient radiation, and therefore initially non-evaporating black holes must enter the evaporating regime, supporting several efforts to look for observational signatures.

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Antiprotons from primordial black holes

Published Paper #: 114

Authors:, A. Barrau, G. Boudoul, F. Donato, D. Maurin, P. Salati, R. Taillet,

Journal: Astron.Astrophys. 388 (2002) 676

url: http://arxiv.org/pdf/astro-ph/0112486v2.pdf

Abstract: Primordial black holes (PBHs) have motivated many studies since it was shown that they should evaporate and produce all kinds of particles. Recent experimental measurements of cosmic rays with great accuracy, theoretical investigations on the possible formation mechanisms and detailed evaporation processes have revived the interest in such astrophysical objects. This article aims at using the latest developments on antiproton propagation models together with new data from BESS, CAPRICE and AMS experiments to constrain the local amount of PBH dark matter. Depending on the diffusion halo parameters and on the details of emission mechanism, we derive an average upper limit of the order of rho < 1.7E-33 g cm^-3.

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Constraints on primordial black holes and primeval density perturbations   from the epoch of reionization

Published Paper #: 113

Authors:, Ping He, Li-Zhi Fang,

Journal: Astrophys.J. 568 (2002) L1-L4

url: http://arxiv.org/pdf/astro-ph/0202218v1.pdf

Abstract: We investigate the constraint on the abundance of primordial black holes (PBHs) and the spectral index $n$ of primeval density perturbations given by the ionizing photon background at the epoch of reionization. Within the standard inflationary cosmogony, we show that the spectral index $n$ of the power-law power spectrum of primeval density perturbations should be $n<$1.27. Since the universe is still optical thick at the reionization redshift $z\sim 6$ - 8, this constraint is independent of the unknown parameter of reheating temperature of the inflation. The ionizing photon background from the PBHs can be well approximated by a power law spectrum $J(\nu)\propto{\nu}^3$, which is greatly different from those given by models of massive stars and quasars.

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Stochastic Correlation Model of Galactic Bulge Velocity Dispersions and   Central Black Holes Masses

Published Paper #: 112

Authors:, V. I. Dokuchaev, Yu. N. Eroshenko,

Journal: Astron.Lett. 27 (2001) 759-764

url: http://arxiv.org/pdf/astro-ph/0202019v1.pdf

Abstract: We consider the cosmological model in which a part of the Universe \Omega_h\sim 10^-5 is in the form of primordial black holes with mass \sim 10^5M_\odot. These primordial black holes would be centers for growing protogalaxies which experienced multiple mergers with ordinary galaxies. This process of galaxies formation is accompanied by the merging of central black holes in the galactic nuclei. It is shown that recently discovered correlations between the central black holes and bulges of galaxies are naturally reproduced in this scenario.

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A Common Origin of Neutralino Stars and Supermassive Black Holes

Published Paper #: 111

Authors:, V. I. Dokuchaev, Yu. N. Eroshenko,

Journal: J.Exp.Theor.Phys.94:1-7,2002; Zh.Eksp.Teor.Fiz.94:5-13,2002

url: http://arxiv.org/pdf/astro-ph/0202021v1.pdf

Abstract: To account for the microlensing events observed in the Galactic halo, Gurevich, Zybin, and Sirota have proposed a model of gravitationally bound, noncompact objects with masses of 0.01-1M_\odot. These objects are formed in the expanding Universe from adiabatic density perturbations and consist of weakly interacting particles of dark matter, for example, neutralinos. They assumed the perturbation spectrum on some small scale to have a distinct peak. We show that the existence of this peak would inevitably give rise to a large number of primordial black holes (PBHs) with masses of \sim10^5M_\odot at the radiation-dominated evolutionary stage of the Universe. Constraints on the coefficient of nonlinear contraction and on the compactness parameter of noncompact objects were derived from constraints on the PBH number density. We show that noncompact objects can serve as gravitational lenses only at a large PBH formation threshold, \delta_c > 0.5, or if noncompact objects are formed from entropic density perturbations.

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Dilatonic Black Holes Time Stability

Published Paper #: 110

Authors:, O. Khovanskaya,

Journal: Grav.Cosmol. 8 (2002) 197-200

url: http://arxiv.org/pdf/gr-qc/0201075v1.pdf

Abstract: The stability under small time perturbations of the dilatonic black hole solution near the determinant curvature singularity is proved. This fact gives the additional arguments that the investigated topological configuration can realise in nature. In the frames of this model primordial black hole remnants are examined as time stable objects, which can form an significant part of a dark matter in the Universe.

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Primordial Black Holes in an Accelerating Universe

Published Paper #: 109

Authors:, David Polarski,

Journal: Phys.Lett. B528 (2002) 193-198

url: http://arxiv.org/pdf/astro-ph/0112328v2.pdf

Abstract: General expressions are given for the generation of Primordial Black Holes (PBH) in a universe with a presently accelerated expansion due to a(n effective) cosmological constant. We give expressions both for a powerlaw scalefree primordial spectrum and for spectra which are not of that type. Specializing to the case of a pure cosmological constant $\Lambda$ and assuming flatness, we show that a comological constant with $\Omega_{\Lambda,0}=0.7$ will decrease the mass variance at the PBH formation time by about 15% compared with a critical density universe.

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Constraining the primordial spectrum of metric perturbations from   gravitino and moduli production

Published Paper #: 108

Authors:, Antonio L. Maroto,

Journal: Phys.Rev.D65:083508,2002

url: http://arxiv.org/pdf/hep-ph/0111126v2.pdf

Abstract: We consider the production of gravitinos and moduli fields from quantum vacuum fluctuations induced by the presence of scalar metric perturbations at the end of inflation. We obtain the corresponding occupation numbers, up to first order in perturbation theory, in terms of the power spectrum of the metric perturbations. We compute the limits imposed by nucleosynthesis on the spectral index $n_s$ for different models with constant $n_s$. The results show that, in certain cases, such limits can be as strong as $n_s<1.12$, which is more stringent than those coming from primordial black hole production.

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Brane cosmology, varying speed of light and inflation in models with one   or more extra dimensions

Published Paper #: 107

Authors:, D. A. Steer, M. F. Parry,

Journal: Int.J.Theor.Phys. 41 (2002) 2255-2286

url: http://arxiv.org/pdf/hep-th/0201121v1.pdf

Abstract: We summarise the approach to brane cosmology known as ``mirage cosmology'' and use it to determine the Friedmann equation on a 3-brane embedded in different bulk spacetimes all with one or more extra dimensions. Usually, when there is more than one extra dimension the junction conditions, central to the usual brane world scenarios, are difficult to apply. This problem does not arise in mirage cosmology because the brane is treated as a ``test particle'' in the background spacetime. We discuss in detail the dynamics of a brane embedded in two specific 10D bulk spacetimes, namely Sch-AdS$_5 \times$S$_5$ and a rotating black hole, and from the dynamics--which are now rather more complicated since the brane can move in all the extra dimensions--determine the new ``dark fluid'' terms in the brane Friedmann equation. Some of these, such as the cosmological constant term, are seen to be bulk dependent. However, for both bulks we show that there exists a critical brane angular momentum, $\ell_c$, and discuss its significance. We then show explicitly how this mirage cosmology approach matches with the familiar junction condition approach when there is just one extra dimension. The issue of a varying speed of light in mirage cosmology is reviewed and we find a scenario in which $c_{\bf eff}$ always increases, tending asymptotically to a constant $c_0$ as the universe expands. Finally some comments are made regarding brane inflation and limitations of the mirage cosmology approach are also discussed.

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Bounds on the cosmological abundance of primordial black holes from   diffuse sky brightness: single mass spectra

Published Paper #: 106

Authors:, P. S. Custódio, J. E. Horvath,

Journal: Phys.Rev. D65 (2002) 024023

url: http://arxiv.org/pdf/astro-ph/0112188v1.pdf

Abstract: We constrain the mass abundance of unclustered primordial black holes (PBHs), formed with a simple mass distribution and subject to the Hawking evaporation and particle absorption from the environment. Since the radiative flux is proportional to the numerical density, an upper bound is obtained by comparing the calculated and observed diffuse background values, (similarly to the Olbers paradox in which point sources are considered) for finite bandwidths. For a significative range of formation redshifts the bounds are better than several values obtained by other arguments $\Omega_{pbh} \leq 10^{-10}$; and they apply to PBHs which are evaporating today.

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Classicality of primordial fluctuations and Primordial Black Holes

Published Paper #: 105

Authors:, David Polarski,

Journal: Int.J.Mod.Phys. D10 (2001) 927

url: http://arxiv.org/pdf/astro-ph/0109388v2.pdf

Abstract: The production of Primordial Black Holes (PBH) from inflationary perturbations provides a physical process where the effective classicality of the fluctuations does not hold for certain scales. For adiabatic perturbations produced during inflation, this range of scales corresponds to PBH with masses $M\ll 10^{15}$ g. For PBH with masses $M\sim M_H(t_e)$, the horizon mass at the end of inflation, the generation process during the preheating stage could be classical as well, in contrast to the formation of PBH on these scales by adiabatic inflationary perturbations. For the non evaporated PBH, the generation process is essentially classical.

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Primordial Black Holes from inflationary models with and without Broken   Scale Invariance

Published Paper #: 104

Authors:, Torsten Bringmann, Claus Kiefer, David Polarski,

Journal: Phys.Rev. D65 (2002) 024008

url: http://arxiv.org/pdf/astro-ph/0109404v2.pdf

Abstract: We review the formalism of primordial black holes (PBHs) production and show that the mass variance at horizon crossing has been systematically overestimated in previous studies. We derive the correct expression. The difference is maximal at the earliest formation times and still very significant for PBH masses $\sim 10^{15}$g, an accurate estimate requiring numerical calculations. In particular, this would lead to weaker constraints on the spectral index $n$. We then derive constraints on inflationary models from the fact that primordial black holes must not overclose the Universe. This is done both for the scale-free case of the power spectrum studied earlier and for the case where a step in the mass variance is superimposed. In the former case we find various constraints on $n$, depending on the parameters. In the latter case these limits can be much more strengthened, so that one could find from an observational limit on $n$ a constraint on the allowed height of the step.

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Evidence for a Galactic Origin of Very Short Gamma Ray Bursts and   Primordial Black Hole Sources

Published Paper #: 103

Authors:, D. B. Cline, C. Matthey, S. Otwinowski,

Journal: Astropart.Phys. 18 (2003) 531-538

url: http://arxiv.org/pdf/astro-ph/0110276v2.pdf

Abstract: We systematically study the shortest time duration gamma ray bursts and find unique features that are best interpreted as sources of a galactic origin. There is a significant angular asymmetry and the V/Vmax distribution provides evidence for a homogenous or Euclidean source distribution. We eview the arguments that primordial black hole evaporation can give such GRBs. The rate of events is consistent with a PBH origin if we assume on enhanced local density, as are the other distributions. We suggest further tests of this hypothesis.

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Baryon asymmetry of the Universe from evaporation of primordial black   holes

Published Paper #: 102

Authors:, E. V. Bugaev, M. G. Elbakidze, K. V. Konishchev,

Journal: Phys.Atom.Nucl. 66 (2003) 476-480; Yad.Fiz. 66 (2003) 504-508

url: http://arxiv.org/pdf/astro-ph/0110660v3.pdf

Abstract: The process of baryogenesis through the evaporation of black holes formed at the end of inflation phase is considered. The increase of black hole mass due to accretion from the surrounding radiation after the reheating is taken into account. It is shown that the influence of the accretion on the baryogenesis is important only in the case when the initial values of black hole mass are larger than $\sim 10^{4}{g}$. The behavior of calculated baryon asymmetry, as a function of model parameters, is studied.

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Probability for Primordial Black Holes in Higher Derivative Theories

Published Paper #: 101

Authors:, Bikash Chandra Paul, Arindam Saha,

Journal: Int.J.Mod.Phys. D11 (2002) 493-502

url: http://arxiv.org/pdf/gr-qc/0110029v1.pdf

Abstract: The probability for quantum creation of an inflationary universe with a pair of black holes in higher derivative theories has been studied. Considering a gravitational action which includes quadratic ($\alpha R^{2}$) and/or cubic term ($\beta R^{3}$) in scalar curvature in addition to a cosmological constant ($\Lambda$) in semiclassical approximation with Hartle-Hawking boundary condition, the probability has been evaluated. The action of the instanton responsible for creating such a universe, with spatial section with $S^{1}XS^{2}$ topology, is found to be less than that with a spatial $S^{3}$ topology, unless $\alpha < - \frac{1}{8 \Lambda}$ in $R^{2}$-theory. In the $R^{3}$ theory, however, there exists a set of solutions without a cosmological constant when $\beta R^{2} = 1$ and $\alpha = - 3 \sqrt{\beta}$ which admit primordial black holes (PBH) pair in an inflationary universe scenario. We note further that when $\beta R^{2} \neq 1$, one gets PBH pairs in the two cases : (i) with $\alpha$ and $\Lambda$ both positive and (ii) with $\Lambda$ positive and $\alpha$ negative satisfying a constraint $6 | \alpha | \Lambda > 1$. However, the relative probability for creation of an inflationary universe with a pair of black holes in the $R^{3}$-theory suppresses when $\alpha > - 2 \sqrt{\beta} $ or $|\alpha| < 2 \sqrt{\beta} $. However, if the above constraints are relaxed one derives interesting results leading to a universe with PBH in $R^{3}$-theory without cosmological constant. PACS No(s). : 04.20.Jb, 04.60.+n, 98.80.Hw

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Viability of primordial black holes as short period gamma-ray bursts

Published Paper #: 100

Authors:, Anne M. Green,

Journal: Phys.Rev.D65:027301,2002

url: http://arxiv.org/pdf/astro-ph/0105253v2.pdf

Abstract: It has been proposed that the short period gamma-ray bursts, which occur at a rate of $\sim 10 {\rm yr^{-1}}$, may be evaporating primordial black holes (PBHs). Calculations of the present PBH evaporation rate have traditionally assumed that the PBH mass function varies as $M_{{\rm BH}}^{-5/2}$. This mass function only arises if the density perturbations from which the PBHs form have a scale invariant power spectrum. It is now known that for a scale invariant power spectrum, normalised to COBE on large scales, the PBH density is completely negligible, so that this mass function is cosmologically irrelevant. For non-scale-invariant power spectra, if all PBHs which form at given epoch have a fixed mass then the PBH mass function is sharply peaked around that mass, whilst if the PBH mass depends on the size of the density perturbation from which it forms, as is expected when critical phenomena are taken into account, then the PBH mass function will be far broader than $ M_{{\rm BH}}^{-5/2}$. In this paper we calculate the present day PBH evaporation rate, using constraints from the diffuse gamma-ray background, for both of these mass functions. If the PBH mass function has significant finite width, as recent numerical simulations suggest, then it is not possible to produce a present day PBH evaporation rate comparable with the observed short period gamma-ray burst rate. This could also have implications for other attempts to detect evaporating PBHs.

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Secondary antiprotons and propagation of cosmic rays in the Galaxy and   heliosphere

Published Paper #: 99

Authors:, I. V. Moskalenko, A. W. Strong, J. F. Ormes, M. S. Potgieter,

Journal: Astrophys.J.565:280-296,2002

url: http://arxiv.org/pdf/astro-ph/0106567v2.pdf

Abstract: High-energy collisions of cosmic-ray nuclei with interstellar gas are believed to be the mechanism producing the majority of cosmic ray antiprotons. Due to the kinematics of the process they are created with a nonzero momentum; the characteristic spectral shape with a maximum at ~2 GeV and a sharp decrease towards lower energies makes antiprotons a unique probe of models for particle propagation in the Galaxy and modulation in the heliosphere. On the other hand, accurate calculation of the secondary antiproton flux provides a ``background'' for searches for exotic signals from the annihilation of supersymmetric particles and primordial black hole evaporation. Recently new data with large statistics on both low and high energy antiproton fluxes have become available which allow such tests to be performed. We use our propagation code GALPROP to calculate interstellar cosmic-ray propagation for a variety of models. We show that there is no simple model capable of accurately describing the whole variety of data: boron/carbon and sub-iron/iron ratios, spectra of protons, helium, antiprotons, positrons, electrons, and diffuse gamma rays. We find that only a model with a break in the diffusion coefficient plus convection can reproduce measurements of cosmic-ray species, and the reproduction of primaries (p, He) can be further improved by introducing a break in the primary injection spectra. For our best-fit model we make predictions of proton and antiproton fluxes near the Earth for different modulation levels and magnetic polarity using a steady-state drift model of propagation in the heliosphere.

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Million solar mass black holes at high redshift

Published Paper #: 98

Authors:, Oleg Y. Gnedin,

Journal: Class.Quant.Grav. 18 (2001) 3983

url: http://arxiv.org/pdf/astro-ph/0108070v1.pdf

Abstract: The existence of quasars at redshift z > 5 indicates that supermassive black holes were present since the very early times. If they grew by accretion, the seeds of mass ~ 10^5 Msun must have formed at z ~ 9. These seed black holes may result from the collapse and dissipation of primordial gas during the early stages of galaxy formation. I discuss the effects of magnetic fields on the fragmentation of cold gas clouds embedded into a hot diffuse phase and a virialized dark matter halo. The field of 10^-4 G ejected by supernova remnants can halt cloud break-up at 10^4 Msun. High star formation rates keep the clouds partially ionized, making ambipolar diffusion inefficient. The magnetically-supported clouds collapse into black holes, which later spiral via dynamical friction into a central cluster with the total mass Mbh ~ 6 10^6 Msun. As the cluster collapses, the black holes merge emitting gravitational radiation that should be detectable by LISA.

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Density Fluctuations and Primordial Black Hole Formation in Natural   Double Inflation in Supergravity

Published Paper #: 97

Authors:, Masahide Yamaguchi,

Journal: Phys.Rev. D64 (2001) 063503

url: http://arxiv.org/pdf/hep-ph/0105001v2.pdf

Abstract: We investigate the recently proposed natural double inflation model in supergravity. Chaotic inflation first takes place by virtue of the Nambu-Goldstone-like shift symmetry. During chaotic inflation, an initial value of second inflation (new inflation) is set, which is adequately far from the local maximum of the potential due to the small linear term in the K\"ahler potential. Then, primordial fluctuations within the present horizon scale may be produced during both inflations. Primordial fluctuations responsible for anisotropies of the cosmic microwave background radiation and the large scale structure are produced during chaotic inflation, while fluctuations on smaller scales are produced during new inflation. Because of the peculiar nature of new inflation, they can become as large as $10^{-1}$-$10^{-2}$, which may lead to the formation of primordial black holes.

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Secondary Antiprotons in Cosmic Rays

Published Paper #: 96

Authors:, I. V. Moskalenko, A. W. Strong, J. F. Ormes, M. S. Potgieter, U. W. Langner,

Journal: Proc. 27th ICRC (Hamburg), 2001, pp.1868-1871

url: http://arxiv.org/pdf/astro-ph/0106503v1.pdf

Abstract: High energy collisions of cosmic ray (CR) nuclei with interstellar gas are believed to be the mechanism producing the majority of CR antiprotons. The distinguishing spectral shape with a maximum at 2 GeV and a sharp decrease towards lower energies makes antiprotons a unique probe of the models of particle propagation in the Galaxy and modulation in the heliosphere. Besides, accurate calculation of the secondary antiproton flux provides a ``background'' for searches for exotic signals from the annihilation of supersymmetric particles and primordial black hole evaporation. Recently new data with large statistics on the antiproton flux have become available which allow for such tests to be performed. We use our 3D Galactic cosmic ray propagation code GALPROP to calculate interstellar propagation in several models. For our best model we make predictions of proton and antiproton fluxes near the Earth for different modulation levels and polarity using a steady-state drift model for heliospheric modulation.

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Inflaton Field and Primordial Blackhole

Published Paper #: 95

Authors:, B. C. Paul, S. Chakraborty,

Journal: Int.J.Mod.Phys. D11 (2002) 1435-1438

url: http://arxiv.org/pdf/hep-th/0106147v1.pdf

Abstract: Primordial black hole formation has been studied using an inflaton field with a variable cosmological term as the potential.

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Probability for Primordial Black Holes in Higher Dimensional Universe

Published Paper #: 94

Authors:, B. C. Paul,

Journal: Phys.Rev.D61:024032,2000

url: http://arxiv.org/pdf/gr-qc/0106041v1.pdf

Abstract: We investigate higher dimensional cosmological models in the semiclassical approximation with Hartle-Hawking Boundary conditions, assuming a gravitational action which is described by the scalar curvature with a cosmological constant. In the framework the probability for quantum creation of an inflationary universe with a pair of black holes in a multidimensional universe is evaluated. The probability for creation of a universe with a spatial section with $S^{1}XS^{D -2}$ topology is then compared with that of a higher dimensional de Sitter universe with $S^{D -1}$ spatial topology. It is found that a higher dimensional universe with a product space with primordial black holes pair is less probable to nucleate when the extra dimensions scale factors do not vary in an inflating universe.

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Primordial black hole production due to preheating

Published Paper #: 93

Authors:, Anne M Green, Karim A Malik,

Journal: Phys.Rev.D64:021301,2001

url: http://arxiv.org/pdf/hep-ph/0008113v2.pdf

Abstract: During the preheating process at the end of inflation the amplification of field fluctuations can lead to the amplification of curvature perturbations. If the curvature perturbations on small scales are sufficiently large, primordial black holes (PBHs) will be overproduced. In this paper we study PBH production in the two-field preheating model with quadratic inflaton potential. We show that for many values of the inflaton mass m, and coupling g, small scale perturbations will be amplified sufficiently, before backreaction can shut off preheating, so that PBHs will be overproduced during the subsequent radiation dominated era.

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Testing dark matter with high-redshift supernovae

Published Paper #: 92

Authors:, Elspeth M. Minty, Alan F. Heavens, Michael R. S. Hawkins,

Journal: Mon.Not.Roy.Astron.Soc. 330 (2002) 378

url: http://arxiv.org/pdf/astro-ph/0104221v2.pdf

Abstract: Dark matter in the Universe consisting of macroscopic objects such as primordial black holes may cause gravitational lensing of distant objects. The magnification associated with lensing will lead to additional scatter in the received flux from standard candles, and too small an observed scatter could rule out compact dark matter entirely. In this letter, we show how the scatter in fluxes of distant Type 1a supernovae could be used to distinguish between models with and without lensing by macroscopic dark matter. The proposed SNAP project, with $\sim 2400$ supernovae in the range $0.1\ls z\ls 1.7$, should be able to identify models at 99.9% confidence, if systematic errors are controlled. Note that this test is independent of any evolution of the mean supernova luminosity with redshift. The variances of the current Supernova Cosmology Project sample do not rule out compact lenses as dark matter: formally they favour such a population, but the significance is low, and removal of a single faint supernova from the sample reverses the conclusion.

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Massive Black Holes as Population III Remnants

Published Paper #: 91

Authors:, Piero Madau, Martin J. Rees,

Journal: Astrophys.J.551:L27-L30,2001

url: http://arxiv.org/pdf/astro-ph/0101223v2.pdf

Abstract: Recent numerical simulations of the fragmentation of primordial molecular clouds in hierarchical cosmogonies have suggested that the very first stars (the so-called Population III) may have been rather massive. Here we point out that a numerous population of massive black holes (MBHs) -- with masses intermediate between those of stellar and supermassive holes -- may be the endproduct of such an episode of pregalactic star formation. If only one MBH with m > 150 msun formed in each of the `minihalos' collapsing at z=20 from 3-sigma fluctuations, then the mass density of Pop III MBHs would be comparable to that of the supermassive variety observed in the nuclei of galaxies. Since they form in high-sigma rare density peaks, relic MBHs are predicted to cluster in the bulges of present-day galaxies as they become incorporated through a series of mergers into larger and larger systems. Dynamical friction would cause more than 50 (m/150 msun)^{1/2} such objects to sink towards the center. The presence of a small cluster of MBHs in galaxy nuclei may have several interesting consequences associated with tidal captures of ordinary stars (likely followed by disruption), MBH capture by the central supermassive black hole, gravitational wave radiation from such coalescences. Accreting pregalactic MBHs may be detectable as ultra-luminous, off-nuclear X-ray sources.

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Antiprotons below 200 MeV in the interstellar medium: perspectives for   observing exotic matter signatures

Published Paper #: 90

Authors:, I. V. Moskalenko, E. R. Christian, A. A. Moiseev, J. F. Ormes, A. W. Strong,

Journal: Proc. 11th COSPAR Colloquium, ``The Outer Heliosphere: The Next
 Frontiers'', eds. K. Scherer et al. (Amsterdam: Pergamon), pp.195-198 (2001)

url: http://arxiv.org/pdf/astro-ph/0102207v1.pdf

Abstract: Most cosmic ray antiprotons observed near the Earth are secondaries produced in collisions of energetic cosmic ray (CR) particles with interstellar gas. The spectrum of secondary antiprotons is expected to peak at ~2 GeV and decrease sharply at lower energies. This leaves a low energy window in which to look for signatures of exotic processes such as evaporation of primordial black holes or dark matter annihilation. In the inner heliosphere, however, modulation of CRs by the solar wind makes analysis difficult. Detecting these antiprotons outside the heliosphere on an interstellar probe removes most of the complications of modulation. We present a new calculation of the expected secondary antiproton flux (the background) as well as a preliminary design of a light-weight, low-power instrument for the interstellar probe to make such measurements.

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Inflationary perturbations near horizon crossing

Published Paper #: 89

Authors:, Samuel M Leach, Andrew R Liddle,

Journal: Phys.Rev. D63 (2001) 043508

url: http://arxiv.org/pdf/astro-ph/0010082v3.pdf

Abstract: We study the behaviour of inflationary density perturbations in the vicinity of horizon crossing, using numerical evolution of the relevant mode equations. We explore two specific scenarios. In one, inflation is temporarily ended because a portion of the potential is too steep to support inflation. We find that perturbations on super-horizon scales can be modified, usually leading to a large amplification, because of entropy perturbations in the scalar field. This leads to a broad feature in the power spectrum, and the slow-roll and Stewart--Lyth approximations, which assume the perturbations reach an asymptotic regime well outside the horizon, can fail by many orders of magnitude in this regime. In the second scenario we consider perturbations generated right at the end of inflation, which re-enter shortly after inflation ends --- such perturbations can be relevant for primordial black hole formation.

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Inflationary preheating and primordial black holes

Published Paper #: 88

Authors:, Bruce A. Bassett, Shinji Tsujikawa,

Journal: Phys.Rev. D63 (2001) 123503

url: http://arxiv.org/pdf/hep-ph/0008328v2.pdf

Abstract: Preheating after inflation may over-produce primordial black holes (PBH's) in many regions of parameter space. As an example we study two-field models with a massless self-interacting inflaton, taking into account second order field and metric backreaction effects as spatial averages. We find that a complex quilt of parameter regions above the Gaussian PBH over-production threshold emerges due to the enhancement of curvature perturbations on all scales. It should be possible to constrain realistic models of inflation through PBH over-production although many issues, such as rescattering and non-Gaussianity, remain unsolved or unexplored.

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Constraints on diffuse neutrino background from primordial black holes

Published Paper #: 87

Authors:, E. V. Bugaev, K. V. Konishchev,

Journal: Phys.Rev. D65 (2002) 123005

url: http://arxiv.org/pdf/astro-ph/0005295v3.pdf

Abstract: We calculated the energy spectra and the fluxes of electron neutrino emitted in the process of evaporation of primordial black holes (PBHs) in the early universe. It was assumed that PBHs are formed by a blue power-law spectrum of primordial density fluctuations. We obtained the bounds on the spectral index of density fluctuations assuming validity of the standard picture of gravitational collapse and using the available data of several experiments with atmospheric and solar neutrinos. The comparison of our results with the previous constraints (which had been obtained using diffuse photon background data) shows that such bounds are quite sensitive to an assumed form of the initial PBH mass function.

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Black hole formation from massive scalar field collapse in the   Einstein-de Sitter universe

Published Paper #: 86

Authors:, Sergio M. C. V. Goncalves,

Journal: Phys.Rev. D62 (2000) 124006

url: http://arxiv.org/pdf/gr-qc/0008039v1.pdf

Abstract: We study the spherically symmetric collapse of a real, minimally coupled, massive scalar field in an asymptotically Einstein-de Sitter spacetime background. By means of an eikonal approximation for the field and metric functions, we obtain a simple analytical criterion---involving the physical size and mass scales (the field's inverse Compton wavelength and the spacetime gravitational mass) of the initial matter configuration---for generic (non-time-symmetric) initial data to collapse to a black hole. This analytical condition can then be used to place constraints on the initial primordial black hole spectrum, by considering spherical density perturbations that re-entered the horizon during an early matter-dominated phase that immediately followed inflation.

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Black holes on the brane

Published Paper #: 85

Authors:, Naresh Dadhich, Roy Maartens, Philippos Papadopoulos, Vahid Rezania,

Journal: Phys.Lett. B487 (2000) 1-6

url: http://arxiv.org/pdf/hep-th/0003061v3.pdf

Abstract: We consider exact solutions for static black holes localized on a three-brane in five-dimensional gravity in the Randall-Sundrum scenario. We show that the Reissner-Nordstrom metric is an exact solution of the effective Einstein equations on the brane, re-interpreted as a black hole without electric charge, but with instead a tidal 'charge' arising via gravitational effects from the fifth dimension. The tidal correction to the Schwarzschild potential is negative, which is impossible in general relativity, and in this case only one horizon is admitted, located outside the Schwarzschild horizon. The solution satisfies a closed system of equations on the brane, and describes the strong-gravity regime. Current observations do not strongly constrain the tidal charge, and significant tidal corrections could in principle arise in the strong-gravity regime and for primordial black holes.

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Gravity, Parametric Resonance and Chaotic Inflation

Published Paper #: 84

Authors:, Richard Easther, Matthew Parry,

Journal: Phys.Rev. D62 (2000) 103503

url: http://arxiv.org/pdf/hep-ph/9910441v3.pdf

Abstract: We investigate the possibility that nonlinear gravitational effects influence the preheating era after inflation. Our work is based on numerical solutions of the inhomogeneous Einstein field equations, and is free of perturbative approximations. The one restriction we impose is to limit the inhomogeneity to a single spatial direction. We compare our results to perturbative calculations and to solutions of the nonlinear field equations in a rigid (unperturbed) spacetime, in order to isolate gravitational phenomena. We consider two types of initial conditions: where only one mode of the field perturbation has a non-zero initial amplitude, and where all the modes begin with a non-zero amplitude. Here we focus on preheating following inflation driven by a scalar field with a quartic potential. We confirm the broad picture of preheating obtained from the nonlinear field equations in a rigid background, but gravitational effects have a measurable impact on the dynamics for both sets of initial data. The rigid spacetime results predict that the amplitude of a single initially excited mode drops rapidly after resonance ends, whereas in the relativistic case the amplitude is roughly constant. With all modes initially excited, the longest modes in the simulation grow much more rapidly in the relativistic calculation than with a rigid background. However, we see no evidence for the sort of gravitational collapse associated with the formation of primordial black holes. The numerical codes described here are easily extended to more complicated resonant models, which we will examine in the future.

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Black hole constraints on the running-mass inflation model

Published Paper #: 83

Authors:, Samuel M Leach, Ian J Grivell, Andrew R Liddle,

Journal: Phys.Rev. D62 (2000) 043516

url: http://arxiv.org/pdf/astro-ph/0004296v3.pdf

Abstract: The running-mass inflation model, which has strong motivation from particle physics, predicts density perturbations whose spectral index is strongly scale-dependent. For a large part of parameter space the spectrum rises sharply to short scales. In this paper we compute the production of primordial black holes, using both analytic and numerical calculation of the density perturbation spectra. Observational constraints from black hole production are shown to exclude a large region of otherwise permissible parameter space.

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Primordial Black Holes from Non-Equilibrium Second Order Phase   Transition

Published Paper #: 82

Authors:, S. G. Rubin, M. Yu. Khlopov, A. S. Sakharov,

Journal: Grav.Cosmol. S6 (2000) 51-58

url: http://arxiv.org/pdf/hep-ph/0005271v3.pdf

Abstract: The collapse of sufficiently large closed domain wall produced during second order phase transition in the vacuum state of a scalar field can lead to the formation of black hole. The origin of domain walls with appropriate size and energy density could be a result of evolution of an effectively massless scalar field at the inflational epoch. We demonstrate that in this case the situation is valued when there are compact domains of less favorable vacuum surrounded by a sea of another vacuum. Each domain has a surface composed of vacuum wall that stores a significant amount of energy, and can collapse into the black hole. This offers the way of massive primordial black holes formation in the early Universe.

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Double inflation in supergravity and the primordial black hole formation

Published Paper #: 81

Authors:, Toshiyuki Kanazawa, M. Kawasaki, T. Yanagida,

Journal: Phys.Lett.B482:174-182,2000

url: http://arxiv.org/pdf/hep-ph/0002236v2.pdf

Abstract: We study a double inflation model (a hybrid inflation + a new inflation) in supergravity and discuss the formation of primordial black holes (PBHs) with mass \sim 10^{-20}-10^{5}M_{\odot}. We find that in a wide range of parameter space, we obtain PBHs which amount to \Omega \simeq 1, i.e., PBH dark matter. Also, we find a set of inflation parameters which produces PBHs evaporating now. Those PBHs may be responsible for antiproton fluxes observed by the BESS experiment.

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Cosmological two-fluid thermodynamics

Published Paper #: 80

Authors:, Winfried Zimdahl, Diego Pavón,

Journal: Gen.Rel.Grav. 33 (2001) 791-804

url: http://arxiv.org/pdf/astro-ph/0005352v1.pdf

Abstract: We reveal unifying thermodynamic aspects of so different phenomena as the cosmological electron-positron annihilation, the evaporation of primordial black holes with a narrow mass range, and the ``deflationary'' transition from an initial de Sitter phase to a subsequent standard Friedmann-Lema\^{\i}tre-Robertson-Walker begin (FLRW) behavior.

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Comment on "Formation of primordial black holes by cosmic strings"

Published Paper #: 79

Authors:, R. N. Hansen, M. Christensen, A. L. Larsen,

Journal: Phys.Rev. D61 (2000) 108701

url: http://arxiv.org/pdf/gr-qc/0005041v1.pdf

Abstract: We show that in a pioneering paper by Polnarev and Zembowicz, some conclusions concerning the characteristics of the Turok-strings are generally not correct. In addition we show that the probability of string collapse given there, is off by a large prefactor (~1000).

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Primordial black holes under the double inflationary power spectrum

Published Paper #: 78

Authors:, Hee Il Kim,

Journal: Phys.Rev. D62 (2000) 063504

url: http://arxiv.org/pdf/astro-ph/9907372v2.pdf

Abstract: Recently, it has been shown that the primordial black holes (PBHs) produced by near critical collapse in the expanding universe have a scaling mass relation similar to that of black holes produced in asymptotically flat spacetime. Distinct from PBHs formed with mass about the horizon mass (Type I), the PBHs with the scaling relation (Type II) can be created with a range of masses at a given formation time. In general, only the case in which the PBH formation is concentrated at one epoch has been considered. However, it is expected that PBH formation is possible over a broad range of epochs if the density fluctuation has a rather large amplitude and smooth scale dependence. In this paper, we study the PBH formation for both types assuming the power spectrum of double inflationary models in which the small scale fluctuations could have large amplitudes independent of the CMBR anisotropy. The mass spectrum of Type II PBHs is newly constructed without limiting the PBH formation period. The double inflationary power spectrum is assumed to be of double simple power-law which are smoothly connected. Under the assumed power spectrum, the accumulation of small PBHs formed at later times is important and the mass range is significantly broadened for both Types. The PBH mass spectra are far smoother than the observed MACHO spectrum due to our assumption of a smooth spectrum. In order to fit the observation, a more spiky spectrum is required.

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Density Distribution and Shape of Galactic Dark Halo Can be Determined   by Low Frequency Gravitational Waves ?

Published Paper #: 77

Authors:, Kunihito Ioka, Takahiro Tanaka, Takashi Nakamura,

Journal: Astrophys.J. 528 (2000) 51-55

url: http://arxiv.org/pdf/astro-ph/9903011v3.pdf

Abstract: Under the assumption that the Milky Way's dark halo consists of primordial black hole MACHOs (PBHMACHOs), the mass density of the halo can be measured by the low frequency gravitational waves ($10^{-3} Hz \siml \nu_{gw} \siml 10^{-1}$ Hz) from PBHMACHO binaries whose fraction is $\sim 10^{-6}$. We find that ten years observation by LISA will detect $\sim 700$ PBHMACHO binaries and enable us to determine the power index of the density profile within 10% (20%) and the core radius within 25% (50%) in about 90% (99%) confidence level, respectively. The axial ratios of the halo may also be determined within $\sim 10%$. LISA and OMEGA may give us an unique observational method to determine the density profile and the shape of the dark halo to open a new field of observational astronomy.

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Probing the mass function of halo dark matter via microlensing

Published Paper #: 76

Authors:, Anne M Green,

Journal: ApJ, 537, 708 (2000).

url: http://arxiv.org/pdf/astro-ph/9912424v2.pdf

Abstract: The simplest interpretation of the microlensing events observed towards the Large Magellanic Clouds is that approximately half of the mass of the Milky Way halo is in the form of MAssive Compact Halo Objects with $M \sim 0.5 M_{\odot}$. It is not possible, due to limits from star counts and chemical abundance arguments, for faint stars or white dwarves to comprise such a large fraction of the halo mass. This leads to the consideration of more exotic lens candidates, such as primordial black holes, or alternative lens locations. If the lenses are located in the halo of the Milky Way, then constraining their mass function will shed light on their nature. Using the current microlensing data we find, for four halo models, the best fit parameters for delta-function, primordial black hole and various power law mass functions. The best fit primordial black hole mass functions, despite having significant finite width, have likelihoods which are similar to, and for one particular halo model greater than, those of the best fit delta functions . We then use Monte Carlo simulations to investigate the number of microlensing events necessary to determine whether the MACHO mass function has significant finite width. If the correct halo model is known, then $\sim$ 500 microlensing events will be sufficient, and will also allow determination of the mass function parameters to $\sim 5%$.

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Electroweak Baryogenesis in a Cold Universe

Published Paper #: 75

Authors:, Raghavan Rangarajan, Supratim Sengupta, Ajit M. Srivastava, ;,

Journal: Astropart.Phys.17:167-182,2002

url: http://arxiv.org/pdf/hep-ph/9911488v2.pdf

Abstract: We discuss the possibility of generating the baryon asymmetry of the Universe when the temperature of the Universe is much below the electroweak scale. In our model the evaporation of primordial black holes or the decay of massive particles re-heats the surrounding plasma to temperatures above the electroweak transition temperature leading to the restoration of electroweak symmetry locally. The symmetry is broken again spontaneously as the plasma cools and a baryon asymmetry is generated during the phase transition. This mechanism generates sufficient asymmetry for a second order electroweak phase transition. For a first order phase transition, sufficient asymmetry is generated if viscous effects slow down the heated plasma as it moves away from the black hole. In our scenario there is no wash-out of the asymmetry after the phase transition as the plasma rapidly cools to lower temperatures thereby shutting off the sphaleron processes.

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Moduli constraints on primordial black holes

Published Paper #: 74

Authors:, Martin Lemoine,

Journal: Phys.Lett. B481 (2000) 333-338

url: http://arxiv.org/pdf/hep-ph/0001238v1.pdf

Abstract: The amount of late decaying massive particles (e.g., gravitinos, moduli) produced in the evaporation of primordial black holes (PBHs) of mass $\Mbh\la10^9 $g is calculated. Limits imposed by big-bang nucleosynthesis on the abundance of these particles are used to constrain the initial PBH mass fraction $\beta$ (ratio of PBH energy density to critical energy density at formation), as: $\beta\la 5\times10^{-19} (\xp/6 10^{-3})^{-1} (\Mbh/10^9 {\rm g})^{-1/2} (\bar{\Yp}/10^{-14})$; $\xp$ is the fraction of PBH luminosity going into gravitinos or moduli, $\bar{\Yp}$ is the upper bound imposed by nucleosynthesis on the number density to entropy density ratio of gravitinos or moduli. This notably implies that such PBHs should never come to dominate the cosmic energy density.

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Boson Stars: Alternatives to primordial black holes?

Published Paper #: 73

Authors:, Eckehard W. Mielke, Franz E. Schunck,

Journal: Nucl.Phys. B564 (2000) 185-203

url: http://arxiv.org/pdf/gr-qc/0001061v1.pdf

Abstract: The present surge for the astrophysical relevance of boson stars stems from the speculative possibility that these compact objects could provide a considerable fraction of the non-baryonic part of dark matter within the halo of galaxies. For a very light `universal' axion of effective string models, their total gravitational mass will be in the most likely range of \sim 0.5 M_\odot of MACHOs. According to this framework, gravitational microlensing is indirectly ``weighing" the axion mass, resulting in \sim 10^{-10} eV/c^2. This conclusion is not changing much, if we use a dilaton type self-interaction for the bosons. Moreover, we review their formation, rotation and stability as likely candidates of astrophysical importance.

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Probing the width of the MACHO mass function

Published Paper #: 72

Authors:, Anne M Green,

Journal: Proceedings of the 4th RESCEU International Symposium on "Birth
 and Evolution of the Universe", November 16-19 1999, ed. K. Sato and M.
 Kawasaki, pub. Universal Academy Press, Inc. Tokyo, Japan, p75-78

url: http://arxiv.org/pdf/astro-ph/0001159v1.pdf

Abstract: The simplest interpretation of the microlensing events observed towards the Large Magellanic Cloud is that approximately half of the mass of the Milky Way halo is in the form of MAssive Compact Halo Objects with $M \sim 0.5 M_{\odot}$. This poses severe problems for stellar MACHO candidates, and leads to the consideration of more exotic objects such as primordial black holes (PBHs). Constraining the MACHO mass function will shed light on their nature. Using the current data we find, for four halo models, the best fit delta-function, power law and PBH mass functions. The best fit PBH mass functions, despite having significant finite width, have likelihoods which are similar to, and for one particular halo model greater than, those of the best fit delta functions. We also find that if the correct halo model is known then $\sim$ 500 events will be sufficient to determine whether the MACHO mass function has significant width, and will also allow determination of the mass function parameters to $\sim 5%$.

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The Formation of the First Stars

Published Paper #: 71

Authors:, Richard B. Larson,

Journal: Published in "Star Formation from the Small to the Large Scale",
 eds. F. Favata, A. Kaas, & A. Wilson (ESA SP-445, ESA, Noordwijk, 2000), p.
 13

url: http://arxiv.org/pdf/astro-ph/9912539v1.pdf

Abstract: The first bound star-forming systems in the universe are predicted to form at redshifts of about 30 and to have masses of the order of 10^6 M_sun. Although their sizes and masses are similar to those of present star-forming regions, their temperatures are expected to be much higher because cooling is provided only by trace amounts of molecular hydrogen. Several recent simulations of the collapse and fragmentation of primordial clouds have converged on a thermal regime where the density is about 10^3-10^4 cm^{-3} and the temperature is about 300 K; under these conditions the Jeans mass is of the order of 10^3 M_sun, and all of the simulations show the formation of clumps with masses of this order. The temperatures in these clumps subsequently rise slowly as they collapse, so little if any further fragmentation is expected. As a result, the formation of predominantly massive or very massive stars is expected, and star formation with a normal present-day IMF seems very unlikely. The most massive early stars are expected to collapse to black holes, and these in turn are predicted to end up concentrated near the centers of present-day large galaxies. Such black holes may play a role in the origin of AGNs, and the heavy elements produced by somewhat less massive stars also formed at early times may play an important role in chemically enriching the inner parts of large galaxies and quasars.

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First Order Phase Transitions as a Source of Black Holes in the Early   Universe

Published Paper #: 70

Authors:, M. Yu. Khlopov, R. V. Konoplich, S. G. Rubin, A. S. Sakharov,

Journal: Grav.Cosmol.2:S1,1999

url: http://arxiv.org/pdf/hep-ph/9912422v1.pdf

Abstract: A new mechanism of black hole formation in a first order phase transition is proposed. In vacuum bubble collisions the interaction of bubble walls leads to the formation of nontrivial vacuum configuration. The consequent collapse of this vacuum configuration induces the black hole formation with high probability. The primordial black holes that have been created by this way at the end of first order inflation could give essential contribution into the total density of the early Universe. The possibilities to establish some nontrivial restrictions on the inflation models with first order phase transition are discussed.

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Small-scale structure of cold dark matter

Published Paper #: 69

Authors:, Dominik J. Schwarz, Stefan Hofmann,

Journal: Nucl.Phys.Proc.Suppl. 87 (2000) 93-95

url: http://arxiv.org/pdf/astro-ph/9912343v1.pdf

Abstract: We investigate the clumping of cold dark matter (CDM) at small scales. If the CDM particle is the neutralino, we find that collisional damping during its kinetic decoupling from the radiation fluid and free streaming introduce a small-scale cut-off in the primordial power spectrum of CDM. This cut-off sets the scale for the very first CDM objects in the Universe, which we expect to have a mass of $\sim 10^{-12} M_\odot$. For non-thermal CDM candidates, such as axions, wimpzillas, or primordial black holes, the cosmological QCD transition might induce features in the primordial spectrum at similar mass scales.

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Primordial Black Hole Binaries as a Source of Gamma-Ray Bursts and of a   High-Frequent Gravitational Radiation

Published Paper #: 68

Authors:, J. N. Abdurashitov, V. E. Yants, C. V. Parfenov,

Journal: Moscow Univ.Phys.Bull. 55N4 (2000) 10-14;
 Vestn.Mosk.Univ.Fiz.Astron. 55N4 (2000) 9-11

url: http://arxiv.org/pdf/astro-ph/9911093v1.pdf

Abstract: Ultracompact primordial black hole binaries with masses > 10^{16} g are considered. If PBHB's contribute significant part of the dark matter of the Galaxy one can expect an existence of high-frequent non-thermal diffuse gravitational radiation with flux of ~1 erg cm^{-2} s^{-1}. The possibility of coalescence of the PBHB's in Galaxy's halo to be a source at least of a part of gamma-ray bursts (GRB) observed is discussed. The energy flux of gravitational radiation from those GRB's should exceed the energy flux of gamma-radiation by 7-8 orders of magnitude. The possibility of observation of PBHB through detection of the gravitational radiation burst coincident with GRB is emphasized. The PBHB also can be observed detecting a stationary gravitatonal radiation in the frequency range > 10^4 Hz and observing a high-frequent pulsation of a source's brightness in microlensing effects in the Galaxy's halo.

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Low frequency gravitational waves from black hole MACHO binaries

Published Paper #: 67

Authors:, Kunihito Ioka, Takahiro Tanaka, Takashi Nakamura,

Journal: Phys.Rev. D60 (1999) 083512

url: http://arxiv.org/pdf/astro-ph/9809395v2.pdf

Abstract: The intensity of low frequency gravitational waves from black hole MACHO binaries is studied. First we estimate the gravitational wave background produced by black hole MACHO binaries in the Milky Way halo as well as the cosmological gravitational wave background produced by the extragalactic black hole MACHO binaries. It is found that the cosmological gravitational wave background due to black hole MACHO binaries is larger than the halo background unless an extreme model of the halo is assumed, while it is smaller than the background due to close white dwarf binaries at $\nu_{gw} \siml 10^{-2.5}$ Hz if the actual space density of white dwarfs is maximal. This cosmological background due to black hole MACHO binaries is well below the observational constraints from the pulsar timing, quasar proper motions and so on. We find that one year observation by LISA will be able to detect gravitational waves from at least several hundreds of nearby independent black hole MACHO binaries whose amplitudes exceed these backgrounds. This suggests that LISA will be able to pin down various properties of primordial black hole MACHOs together with the results of LIGO-VIRGO-TAMA-GEO network. Furthermore, it may be possible to draw a map of the mass distribution of our halo, since LISA can determine the position and the distance to individual sources consisted of black hole MACHO binaries. Therefore, LISA may open a new field of the gravitational wave astronomy.

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Metric preheating and limitations of linearized gravity

Published Paper #: 66

Authors:, Bruce A. Bassett, Fabrizio Tamburini, David I. Kaiser, Roy Maartens,

Journal: Nucl.Phys. B561 (1999) 188-240

url: http://arxiv.org/pdf/hep-ph/9901319v4.pdf

Abstract: Recently it has become clear that the resonant amplification of quantum field fluctuations at preheating must be accompanied by resonant amplification of scalar metric perturbations, since the two are united by Einstein's equations. Furthermore, this "metric preheating" enhances particle production and leads to gravitational rescattering effects even at linear order. In multi-field models with strong preheating (q \gg 1), metric perturbations are driven nonlinear, with the strongest amplification typically on super-Hubble scales (k \to 0). This amplification is causal, being due to the super- Hubble coherence of the inflaton condensate, and is accompanied by resonant growth of entropy perturbations. The amplification invalidates the use of the linearized Einstein field equations, irrespective of the amount of fine-tuning of the initial conditions. This has serious implications at all scales - from the large-angle cosmic microwave background (CMB) anisotropies to primordial black holes. We investigate the (q,k) parameter space in a two-field model, and introduce the time to nonlinearity, t_{nl}, as the timescale for the breakdown of the linearized Einstein equations. Backreaction effects are expected to shut down the linear resonances, but cannot remove the existing amplification, which threatens the viability of strong preheating when confronted with the CMB. We discuss ways to escape the above conclusions, including secondary phases of inflation and preheating solely to fermions. Finally we rank known classes of inflation from strongest (chaotic and strongly coupled hybrid inflation) to weakest (hidden sector, warm inflation) in terms of the distortion of the primordial spectrum due to these resonances in preheating.

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Primordial black hole evolution in tensor-scalar cosmology

Published Paper #: 65

Authors:, Ted Jacobson,

Journal: Phys.Rev.Lett. 83 (1999) 2699-2702

url: http://arxiv.org/pdf/astro-ph/9905303v2.pdf

Abstract: A perturbative analysis shows that black holes do not remember the value of the scalar field $\phi$ at the time they formed if $\phi$ changes in tensor-scalar cosmology. Moreover, even when the black hole mass in the Einstein frame is approximately unaffected by the changing of $\phi$, in the Jordan-Fierz frame the mass increases. This mass increase requires a reanalysis of the evaporation of primordial black holes in tensor-scalar cosmology. It also implies that there could have been a significant magnification of the (Jordan-Fierz frame) mass of primordial black holes.

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Primordial Black Holes and Primordial Nucleosynthesis I: Effects of   Hadron Injection from Low Mass Holes

Published Paper #: 64

Authors:, K. Kohri, Jun'ichi Yokoyama,

Journal: Phys.Rev.D61:023501,2000

url: http://arxiv.org/pdf/astro-ph/9908160v1.pdf

Abstract: We investigate the influence of hadron injection from evaporating primordial black holes (PBHs) in the early stage of the primordial nucleosynthesis era (t = 10^{-3} - 10^4 sec). The emitted quark-antiquark pairs or gluons immediately fragment into a lot of hadrons and scatter off the thermal plasma which is constituted by photons, electrons and nucleons. For the relatively low mass holes we point out that the dominant effect is the inter-conversion between ambient proton and neutron through the strong interaction induced by the emitted hadrons. Even after the freeze-out time of the week interactions between neutron and proton, more neutrons are produced and the synthesized light element abundances could be drastically changed. Comparing the theoretical predictions with the observational data, we constrain the PBH's density and their lifetime. We obtain the upper bound for PBH's initial mass fraction, \beta < 10^{-20} for 10^8 g < M < 10^{10} g, and \beta < 10^{-22} for 10^{10} g < M < 3 * 10^{10} g.

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Primordial black holes as a source of extremely high energy cosmic rays

Published Paper #: 63

Authors:, Aurelien Barrau,

Journal: Astropart.Phys.12:269-275,2000

url: http://arxiv.org/pdf/astro-ph/9907347v1.pdf

Abstract: The origin of observed extremely high energy cosmic rays remains an astrophysical enigma. We show that a single evaporating primordial black hole should produce 8.5*10^14 particles over a 10^20 eV threshold. This emission results from direct production of fundamental constituants and from hadronization of quarks and gluons. The induced flux on the Earth is studied as a function of the local density of exploding black holes and compared with experimental data. The discovery potential of future detectors is finally reviewed.

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Bounds from Primordial Black Holes with a Near Critical Collapse Initial   Mass Function

Published Paper #: 62

Authors:, Graham D. Kribs, Adam K. Leibovich, I. Z. Rothstein,

Journal: Phys. Rev. D 60, 103510 (1999)

url: http://arxiv.org/pdf/astro-ph/9904021v2.pdf

Abstract: Recent numerical evidence suggests that a mass spectrum of primordial black holes (PBHs) is produced as a consequence of near critical gravitational collapse. Assuming that these holes formed from the initial density perturbations seeded by inflation, we calculate model independent upper bounds on the mass variance at the reheating temperature by requiring the mass density not exceed the critical density and the photon emission not exceed current diffuse gamma-ray measurements. We then translate these results into bounds on the spectral index n by utilizing the COBE data to normalize the mass variance at large scales, assuming a constant power law, then scaling this result to the reheating temperature. We find that our bounds on n differ substantially (\delta n > 0.05) from those calculated using initial mass functions derived under the assumption that the black hole mass is proportional to the horizon mass at the collapse epoch. We also find a change in the shape of the diffuse gamma-ray spectrum which results from the Hawking radiation. Finally, we study the impact of a nonzero cosmological constant and find that the bounds on n are strengthened considerably if the universe is indeed vacuum-energy dominated today.

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Unified approach to study quantum properties of primordial black holes,   wormholes and of quantum cosmology

Published Paper #: 61

Authors:, S. Nojiri, O. Obregon, S. D. Odintsov,

Journal: Mod.Phys.Lett.A14:1309-1316,1999

url: http://arxiv.org/pdf/gr-qc/9907008v1.pdf

Abstract: We review the anomaly induced effective action for dilaton coupled spinors and scalars in large N and s-wave approximation. It may be applied to study the following fundamental problems: construction of quantum corrected black holes (BHs), inducing of primordial wormholes in the early Universe (this effect is confirmed) and the solution of initial singularity problem. The recently discovered anti-evaporation of multiple horizon BHs is discussed. The existance of such primordial BHs may be interpreted as SUSY manifestation. Quantum corrections to BHs thermodynamics maybe also discussed within such scheme.

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Supersymmetry and primordial black hole abundance constraints

Published Paper #: 60

Authors:, Anne M. Green,

Journal: Phys.Rev. D60 (1999) 063516

url: http://arxiv.org/pdf/astro-ph/9903484v2.pdf

Abstract: We study the consequences of supersymmetry for primordial black hole (PBH) abundance constraints. PBHs with mass less than about 10^{11}g will emit supersymmetric particles when they evaporate. In most models of supersymmetry the lightest of these particles, the lightest supersymmetric particle (LSP), is stable and will hence survive to the present day. We calculate the limit on the initial abundance of PBHs from the requirement that the present day LSP density is less than the critical density. We apply this limit, along with those previously obtained from the effects of PBH evaporation on nucleosynthesis and the present day density of PBHs, to PBHs formed from the collpase of inflationary density perturbations, in the context of supersymmetric inflation models. If the reheat temperature after inflation is low, so as to avoid the overproduction of gravitinos and moduli, then the lightest PBHs which are produced in significant numbers will be evaporating around the present day and there are therefore no constraints from the effects of the evaporation products on nucleosynthesis or from the production of LSPs. We then examine models with a high reheat temperature and a subsequent period of thermal inflation. In these models avoiding the overproduction of LSPs limits the abundance of low mass PBHs which were previously unconstrained. Throughout we incorporate the production, at fixed time, of PBHs with a range of masses, which occurs when critical collapse is taken into account.

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Black hole formation in the Friedmann universe: Formulation and   computation in numerical relativity

Published Paper #: 59

Authors:, Masaru Shibata, Misao Sasaki,

Journal: Phys.Rev.D60:084002,1999

url: http://arxiv.org/pdf/gr-qc/9905064v1.pdf

Abstract: We study formation of black holes in the Friedmann universe. We present a formulation of the Einstein equations under the constant mean curvature time-slicing condition. Our formalism not only gives us the analytic solution of the perturbation equations for non-linear density and metric fluctuations on superhorizon scales, but also allows us to carry out a numerical relativity simulation for black hole formation after the scale of the density fluctuations is well within the Hubble horizon scale. We perform a numerical simulation of spherically symmetric black hole formation in the radiation-dominated, spatially flat background universe for a realistic initial condition supplied from the analytic solution. It is found that the initial metric perturbation has to be non-linear (the maximum value of 3D conformal factor $\psi_0$ at $t=0$ should be larger than $\sim 1.4$) for a black hole to be formed, but the threshold amplitude for black hole formation and the final black hole mass considerably depend on the initial density (or metric) profile of the perturbation: The threshold value of $\psi_0$ at $t=0$ for formation of a black hole is smaller for a high density peak surrounded by a low density region than for that surrounded by the average density region of the flat universe. This suggests that it is necessary to take into account the spatial correlation of density fluctuations in the study of primordial black hole formation.

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Critical collapse and the primordial black hole initial mass function

Published Paper #: 58

Authors:, Anne M Green, Andrew R Liddle,

Journal: Phys. Rev. D 60, 063509 (1999)

url: http://arxiv.org/pdf/astro-ph/9901268v2.pdf

Abstract: It has normally been assumed that primordial black holes (PBHs) always form with mass approximately equal to the mass contained within the horizon at that time. Recent work studying the application of critical phenomena in gravitational collapse to PBH formation has shown that in fact, at a fixed time, PBHs with a range of masses are formed. When calculating the PBH initial mass function it is usually assumed that all PBHs form at the same horizon mass. It is not clear, however, that it is consistent to consider the spread in the mass of PBHs formed at a single horizon mass, whilst neglecting the range of horizon masses at which PBHs can form. We use the excursion set formalism to compute the PBH initial mass function, allowing for PBH formation at a range of horizon masses, for two forms of the density perturbation spectrum. First we examine power-law spectra with $n>1$, where PBHs form on small scales. We find that, in the limit where the number of PBHs formed is small enough to satisfy the observational constraints on their initial abundance, the mass function approaches that found by Niemeyer and Jedamzik under the assumption that all PBHs form at a single horizon mass. Second, we consider a flat perturbation spectrum with a spike at a scale corresponding to horizon mass $\sim 0.5 M_{\odot}$, and compare the resulting PBH mass function with that of the MACHOs (MAssive Compact Halo Objects) detected by microlensing observations. The predicted mass spectrum appears significantly wider than the steeply-falling spectrum found observationally.

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General Relativistic effects in preheating

Published Paper #: 57

Authors:, Bruce A. Bassett, David I. Kaiser, Roy Maartens,

Journal: Phys.Lett. B455 (1999) 84-89

url: http://arxiv.org/pdf/hep-ph/9808404v3.pdf

Abstract: General relativistic effects in the form of metric perturbations are usually neglected in the preheating era that follows inflation. We argue that in realistic multi-field models these effects are in fact crucial, and the fully coupled system of metric and quantum field fluctuations needs to be considered. Metric perturbations are resonantly amplified, breaking the scale-invariance of the primordial spectrum, and in turn stimulate scalar field resonances via gravitational rescattering. This non-gravitationally dominated nonlinear growth of gravitational fluctuations may have significant effects on the Doppler peaks in the cosmic background radiation, primordial black hole formation, gravitational waves and nonthermal symmetry restoration.

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Mirror matter and primordial black holes

Published Paper #: 56

Authors:, Nicole F. Bell, Raymond R. Volkas,

Journal: Phys.Rev. D59 (1999) 107301

url: http://arxiv.org/pdf/astro-ph/9812301v2.pdf

Abstract: A consequence of the evaporation of primordial black holes in the early universe may be the generation of mirror matter. This would have implications with regard to dark matter, and the number of light particle species in equilibrium at the time of big bang nucleosynthesis. The possibilities for the production of mirror matter by this mechanism are explored.

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Primordial Black Hole Formation from Inflaton

Published Paper #: 55

Authors:, Xin He Meng, Bin Wang, S. Feng,

Journal: Int.J.Mod.Phys. D9 (2000) 705-710

url: http://arxiv.org/pdf/hep-ph/9901452v1.pdf

Abstract: Measurements of the distances to SNe Ia have produced strong evidence that the Universe is really accelarating, implying the existence of a nearly uniform component of dark energy with the simplest explanation as a cosmological constant. In this paper a small changing cosmological term is proposed, which is a function of a slow-rolling scalar field, by which the de Sitter primordial black holes' properties, for both charged and uncharged cases, are carefully examined and the relationship between the black hole formation and the energy transfer of the inflaton within this cosmological term is eluciated

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Primordial Black Hole Formation during First-Order Phase Transitions

Published Paper #: 54

Authors:, K. Jedamzik, J. C. Niemeyer,

Journal: Phys.Rev.D59:124014,1999

url: http://arxiv.org/pdf/astro-ph/9901293v1.pdf

Abstract: Primordial black holes (PBHs) may form in the early universe when pre-existing adiabatic density fluctuations enter into the cosmological horizon and recollapse. It has been suggested that PBH formation may be facilitated when fluctuations enter into the horizon during a strongly first-order phase transition which proceeds in approximate equilibrium. We employ general-relativistic hydrodynamics numerical simulations in order to follow the collapse of density fluctuations during first-order phase transitions. We find that during late stages of the collapse fluctuations separate into two regimes, an inner part existing exclusively in the high-energy density phase with energy density $\epsilon_{\rm h}$, surrounded by an outer part which exists exclusively in the low-energy density phase with energy density $\epsilon_{\rm h}-L$, where $L$ is the latent heat of the transition. We confirm that the fluctuation density threshold $\delta\epsilon /\epsilon$ required for the formation of PBHs during first-order transitions decreases with increasing $L$ and falls below that for PBH formation during ordinary radiation dominated epochs. Our results imply that, in case PBHs form at all in the early universe, their mass spectrum is likely dominated by the approximate horizon masses during epochs when the universe undergoes phase transitions.

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Dynamics of Primordial Black Hole Formation

Published Paper #: 53

Authors:, J. C. Niemeyer, K. Jedamzik,

Journal: Phys.Rev.D59:124013,1999

url: http://arxiv.org/pdf/astro-ph/9901292v1.pdf

Abstract: We present a numerical investigation of the gravitational collapse of horizon-size density fluctuations to primordial black holes (PBHs) during the radiation-dominated phase of the Early Universe. The collapse dynamics of three different families of initial perturbation shapes, imposed at the time of horizon crossing, is computed. The perturbation threshold for black hole formation, needed for estimations of the cosmological PBH mass function, is found to be $\delta_{\rm c} \approx 0.7$ rather than the generally employed $\delta_{\rm c} \approx 1/3$, if $\delta$ is defined as $\Delta M/\mh$, the relative excess mass within the initial horizon volume. In order to study the accretion onto the newly formed black holes, we use a numerical scheme that allows us to follow the evolution for long times after formation of the event horizon. In general, small black holes (compared to the horizon mass at the onset of the collapse) give rise to a fluid bounce that effectively shuts off accretion onto the black hole, while large ones do not. In both cases, the growth of the black hole mass owing to accretion is insignificant. Furthermore, the scaling of black hole mass with distance from the formation threshold, known to occur in near-critical gravitational collapse, is demonstrated to apply to primordial black hole formation.

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Possible quantum instability of primordial black holes

Published Paper #: 52

Authors:, E. Elizalde, S. Nojiri, S. D. Odintsov,

Journal: Phys.Rev.D59:061501,1999

url: http://arxiv.org/pdf/hep-th/9901026v1.pdf

Abstract: Evidence for the possible existence of a quantum process opposite to the famous Hawking radiation (evaporation) of black holes is presented. This new phenomenon could be very relevant in the case of exotic multiple horizon Nariai black holes and in the context of common grand unified theories. This is clearly manifested in the case of the SO(10) GUT, that is here investigated in detail. The remarkable result is obtained, that anti-evaporation can occur there only in the SUSY version of the theory. It is thus concluded that the existence of primordial black holes in the present Universe might be considered as an evidence for supersymmetry.

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Diffuse $γ$-ray background and primordial black hole constraints on   the spectral index of density fluctuations

Published Paper #: 51

Authors:, Hee Il Kim, Chul H. Lee, Jane H. MacGibbon,

Journal: Phys.Rev. D59 (1999) 063004

url: http://arxiv.org/pdf/astro-ph/9901030v1.pdf

Abstract: We calculate the flux of $\gamma$-rays emitted from primordial black holes (PBHs) which are formed by a ``blue'' power-law spectrum of density fluctuations in the early universe. Gamma-ray emission from such PBHs may contribute significantly to the observed extragalactic diffuse $\gamma$-ray background (DGB). Using the observed DGB flux from the imaging Compton Telescope (COMPTEL) and the Energetic Gamma Ray Experiment Telescope (EGRET) as the upper limit of $\gamma$-ray flux from PBHs, we derive the upper limit on the spectral index $n$ of the density fluctuations. The range of initial PBH masses which can contribute to the DGB is $2\times 10^{13}\g - 5\times 10^{14}\g$, corresponding to a cosmic reheating temperature of $7\times 10^{7}\gev - 4\times 10^{8} \gev$. In this range, we find the upper limit to be $n \lsim 1.23-1.25$. This limit is stronger than those derived from the energy density in PBHs or PBH relics and matches the value of $n$ required to explain the cosmic microwave background anisotropy.

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Primordial Black Hole Formation in Supergravity

Published Paper #: 50

Authors:, M. Kawasaki, T. Yanagida,

Journal: Phys.Rev.D59:043512,1999

url: http://arxiv.org/pdf/hep-ph/9807544v3.pdf

Abstract: We study a double inflation model (a preinflation + a new inflation) in supergravity and discuss the formation of primordial black holes which may be identified with massive compact halo objects (MACHOs) observed in the halo of our galaxy. The preinflation drives an inflaton for the new inflation close to the origin through supergravity effects and the new inflation naturally occurs. If the total e-fold number of the new inflation is smaller than $\sim 60$, both inflations produce cosmologically relevant density fluctuations. If the coherent inflaton oscillation after the preinflation continues until the beginning of the new inflation, density fluctuations on small cosmological scales can be set suitably large to produce black holes MACHOs of masses $\sim 1 M_{\odot}$ in a wide region of parameter space in the double inflation model.

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Parametric Amplification of Density Perturbation in the Oscillating   inflation

Published Paper #: 49

Authors:, A. Taruya,

Journal: Phys.Rev. D59 (1999) 103505

url: http://arxiv.org/pdf/hep-ph/9812342v1.pdf

Abstract: We study the adiabatic density perturbation in the {\it oscillating inflation}, proposed by Damour and Mukhanov. The recent study of the cosmological perturbation during reheating shows that the adiabatic fluctuation behaves like as the perfect fluid and no significant amplification occurs on super-horizon scales. In the oscillating inflation, however, the accelerated expansion takes place during the oscillating stage and there might be a possibility that the parametric amplification on small scales affects the adiabatic long-wavelength perturbation. We analytically show that the density perturbation neglecting the metric perturbation can be amplified by the parametric resonance and the instability band becomes very broad during the oscillating inflation. We examined this issue by solving the evolution equation for perturbation numerically. We found that the parametric resonance is strongly suppressed for the long wave modes comparable to the Hubble horizon. The result indicates that the metric perturbation plays a crucial role for the evolution of scalar field perturbation. Therefore, in the single field case, there would be no significant imprint of the oscillating inflation on the primordial spectrum of the adiabatic perturbation. However, it could be expected that the oscillating inflation in the multi-field system gives the enormous amplification on large scales, which may lead to the production of the primordial black holes.

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Illuminating dark matter and primordial black holes with interstellar   antiprotons

Published Paper #: 48

Authors:, James D. Wells, Alexander Moiseev, Jonathan F. Ormes,

Journal: Astrophys.J. 518 (1999) 570

url: http://arxiv.org/pdf/hep-ph/9811325v1.pdf

Abstract: Interstellar antiproton fluxes can arise from dark matter annihilating or decaying into quarks or gluons that subsequently fragment into antiprotons. Evaporation of primordial black holes also can produce a significant antiproton cosmic-ray flux. Since the background of secondary antiprotons from spallation has an interstellar energy spectrum that peaks at $\sim 2\gev$ and falls rapidly for energies below this, low-energy measurements of cosmic antiprotons are useful in the search for exotic antiproton sources. However, measurement of the flux near the earth is challenged by significant uncertainties from the effects of the solar wind. We suggest evading this problem and more effectively probing dark-matter signals by placing an antiproton spectrometer aboard an interstellar probe currently under discussion. We address the experimental challenges of a light, low-power-consuming detector, and present an initial design of such an instrument. This experimental effort could significantly increase our ability to detect, and have confidence in, a signal of exotic, nonstandard antiproton sources. Furthermore, solar modulation effects in the heliosphere would be better quantified and understood by comparing results to inverse modulated data derived from existing balloon and space-based detectors near the earth.

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Amplification of Cosmological Inhomogeneities by the QCD Transition

Published Paper #: 47

Authors:, Christoph Schmid, Dominik J. Schwarz, Peter Widerin,

Journal: Phys.Rev. D59 (1999) 043517

url: http://arxiv.org/pdf/astro-ph/9807257v2.pdf

Abstract: The cosmological QCD transition affects primordial density perturbations. If the QCD transition is first order, the sound speed vanishes during the transition and density perturbations fall freely. For scales below the Hubble radius at the transition the primordial Harrison-Zel'dovich spectrum of density fluctuations develops large peaks and dips. These peaks grow with wave number for both the hadron-photon-lepton fluid and for cold dark matter. At the horizon scale the enhancement is small. This by itself does not lead to the formation of black holes at the QCD transition. The peaks in the hadron-photon-lepton fluid are wiped out during neutrino decoupling. For cold dark matter that is kinetically decoupled at the QCD transition (e.g., axions or primordial black holes) these peaks lead to the formation of CDM clumps of masses $10^{-20} M_\odot< M_{\rm clump} < 10^{-10} M_\odot$.

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Quantum evolution of Schwarzschild-de Sitter (Nariai) black holes

Published Paper #: 46

Authors:, S. Nojiri, S. D. Odintsov,

Journal: Phys.Rev.D59:044026,1999

url: http://arxiv.org/pdf/hep-th/9804033v3.pdf

Abstract: We calculate the one-loop effective action for conformal matter (scalars, spinors and vectors) on spherically symmetric background. Such effective action (in large $N$ approximation and expansion on curvature) is used to study quantum aspects of Schwarzschild-de Sitter black holes (SdS BHs) in nearly degenerated limit (Nariai BH). We show that for all types of above matter SdS BHs may evaporate or anti-evaporate in accordance with recent observation by Bousso and Hawking for minimal scalars. Some remarks about energy flow for SdS BHs in regime of evaporation or anti-evaporation are also done. Study of no boundary condition shows that this condition supports anti-evaporation for nucleated BHs (at least in frames of our approximation). That indicates to the possibility that some pair created cosmological BHs may not only evaporate but also anti-evaporate. Hence, cosmological primordial BHs may survive much longer than it is expected.

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Cosmic evolution during primordial black hole evaporation

Published Paper #: 45

Authors:, Winfried Zimdahl, Diego Pavón,

Journal: Phys.Rev. D58 (1998) 103506

url: http://arxiv.org/pdf/astro-ph/9809045v1.pdf

Abstract: Primordial black holes with a narrow mass range are regarded as a nonrelativistic fluid component with an equation of state for dust. The impact of the black hole evaporation on the dynamics of the early universe is studied by resorting to a two-fluid model. We find periods of intense radiation reheating in the initial and final stages of the evaporation.

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Black Holes and Sub-millimeter Dimensions

Published Paper #: 44

Authors:, Philip C. Argyres, Savas Dimopoulos, John March-Russell,

Journal: Phys.Lett. B441 (1998) 96-104

url: http://arxiv.org/pdf/hep-th/9808138v1.pdf

Abstract: Recently, a new framework for solving the hierarchy problem was proposed which does not rely on low energy supersymmetry or technicolor. The fundamental Planck mass is at a TeV and the observed weakness of gravity at long distances is due the existence of new sub-millimeter spatial dimensions. In this letter, we study how the properties of black holes are altered in these theories. Small black holes---with Schwarzschild radii smaller than the size of the new spatial dimensions---are quite different. They are bigger, colder, and longer-lived than a usual $(3+1)$-dimensional black hole of the same mass. Furthermore, they primarily decay into harmless bulk graviton modes rather than standard-model degrees of freedom. We discuss the interplay of our scenario with the holographic principle. Our results also have implications for the bounds on the spectrum of primordial black holes (PBHs) derived from the photo-dissociation of primordial nucleosynthesis products, distortion of the diffuse gamma-ray spectrum, overclosure of the universe, gravitational lensing, as well as the phenomenology of black hole production. For example, the bound on the spectral index of the primordial spectrum of density perturbations is relaxed from 1.25 to 1.45-1.60 depending on the epoch of the PBH formation. In these scenarios PBHs provide interesting dark matter candidates; for 6 extra dimensions MACHO candidates with mass $\sim 0.1M_\odot$ can arise. For 2 or 3 extra dimensions PBHs with mass $\sim 2000 M_\odot$ can occur and may act as both dark matter and seeds for early galaxy and QSO formation.

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Chaotic new inflation and formation of primordial black holes

Published Paper #: 43

Authors:, Jun'ichi Yokoyama,

Journal: Phys.Rev. D58 (1998) 083510

url: http://arxiv.org/pdf/astro-ph/9802357v2.pdf

Abstract: It is shown that in a number of scalar potentials with an unstable local maximum at the origin chaotic inflation is followed by new inflation if model parameters are appropriately chosen. In this model density fluctuation can have a large-amplitude peak on the comoving Hubble scale at the onset of the slow-roll new inflation and can result in formation of appreciable amount of primordial black holes on astrophysically interesting mass scales.

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Cosmological constraints on primordial black holes produced in the   near-critical gravitational collapse

Published Paper #: 42

Authors:, Jun'ichi Yokoyama,

Journal: Phys.Rev.D58:107502,1998

url: http://arxiv.org/pdf/gr-qc/9804041v2.pdf

Abstract: The mass function of primordial black holes created through the near-critical gravitational collapse is calculated in a manner fairly independent of the statistical distribution of underlying density fluctuation, assuming that it has a sharp peak on a specific scale. Comparing it with various cosmological constraints on their mass spectrum, some newly excluded range is found in the volume fraction of the region collapsing into black holes as a function of the horizon mass.

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Evaporation of a Kerr black hole by emission of scalar and higher spin   particles

Published Paper #: 41

Authors:, Brett E. Taylor, Chris M. Chambers, William A. Hiscock,

Journal: Phys.Rev.D58:044012,1998

url: http://arxiv.org/pdf/gr-qc/9801044v2.pdf

Abstract: We study the evolution of an evaporating rotating black hole, described by the Kerr metric, which is emitting either solely massless scalar particles or a mixture of massless scalar and nonzero spin particles. Allowing the hole to radiate scalar particles increases the mass loss rate and decreases the angular momentum loss rate relative to a black hole which is radiating nonzero spin particles. The presence of scalar radiation can cause the evaporating hole to asymptotically approach a state which is described by a nonzero value of $a_* \equiv a / M$. This is contrary to the conventional view of black hole evaporation, wherein all black holes spin down more rapidly than they lose mass. A hole emitting solely scalar radiation will approach a final asymptotic state described by $a_* \simeq 0.555$. A black hole that is emitting scalar particles and a canonical set of nonzero spin particles (3 species of neutrinos, a single photon species, and a single graviton species) will asymptotically approach a nonzero value of $a_*$ only if there are at least 32 massless scalar fields. We also calculate the lifetime of a primordial black hole that formed with a value of the rotation parameter $a_{*}$, the minimum initial mass of a primordial black hole that is seen today with a rotation parameter $a_{*}$, and the entropy of a black hole that is emitting scalar or higher spin particles.

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Blue spectra and induced formation of primordial black holes

Published Paper #: 40

Authors:, E. Kotok, P. Naselsky,

Journal: Phys.Rev. D58 (1998) 103517

url: http://arxiv.org/pdf/astro-ph/9806139v1.pdf

Abstract: We investigate the statistical properties of primordial black hole (PBH) formation in the very early Universe. We show that the high level of inhomogeneity of the early Universe leads to the formation of the first generation PBHs. %The existence of these PBHs This causes later the appearance of a dust-like phase of the cosmological expansion. We discuss here a new mechanism for the second generation of PBH formation during the dust-like phase. This mechanism is based on the coagulation process. We demonstrate that the blue power spectrum of initial adiabatic perturbations after inflation leads to overproduction of primordial black holes with $10^9$g$\le M\le10^{15}$g if the power index is $n\ge1.2$.

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The gravitational Vavilov-Cherenkov effect

Published Paper #: 39

Authors:, Alberto Saa, Marcelo Schiffer,

Journal: Mod.Phys.Lett. A13 (1998) 1557

url: http://arxiv.org/pdf/gr-qc/9805080v1.pdf

Abstract: In this essay we show that an uncharged black-hole moving superluminally in a transparent dielectric medium violates Hawking's area theorem. The violation is overcome through the emission of radiation. Since modes cannot emerge from the black hole itself, this radiation must originate from a collective effect in the medium, in complete analogy with the Vavilov-Cherenkov effect. However, because the black-hole is uncharged, the emission mechanism must be different. We discuss the physical origin of the effect and obtain a Newtonian estimative. Then we obtain the appropriate equations in the relativistic case and show that the field which is radiated away is a combination of gravitational and electromagnetic degrees of freedom. Possible astrophysical relevance for the detection of primordial black-holes and binary systems is discussed.

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Black holes and gravitational waves in concert - a probe of superstring   cosmology

Published Paper #: 38

Authors:, Edmund J. Copeland, Andrew R. Liddle, James E. Lidsey, David Wands,

Journal: Gen.Rel.Grav. 30 (1998) 1711-1715

url: http://arxiv.org/pdf/gr-qc/9805073v1.pdf

Abstract: Two strands of observational gravitation, one the search for astrophysical evidence of primordial black holes and the other the search for gravitational waves, may combine to provide strong evidence in favour of cosmological models based on superstring theory, the leading candidate for unifying gravity with the other fundamental forces.

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Near-Critical Gravitational Collapse and the Initial Mass Function of   Primordial Black Holes

Published Paper #: 37

Authors:, J. C. Niemeyer, K. Jedamzik,

Journal: Phys.Rev.Lett.80:5481-5484,1998

url: http://arxiv.org/pdf/astro-ph/9709072v2.pdf

Abstract: The recent discovery of critical phenomena arising in gravitational collapse near the threshold of black hole formation is used to estimate the initial mass function of primordial black holes (PBHs). It is argued that the universal scaling relation between black hole mass and initial perturbation found for a variety of collapsing space-times also applies to PBH formation, indicating the possibility of the formation of PBHs with masses much smaller than one horizon mass. Owing to the natural fine-tuning of initial conditions by the exponential decline of the probability distribution for primordial density fluctuations, sub-horizon mass PBHs are expected to form at all epochs. This result suggests that the constraints on the primordial fluctuation spectrum based on the abundance of PBHs at different mass scales may have to be revisited.

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Could MACHOS be Primordial Black Holes formed during the QCD Epoch?

Published Paper #: 36

Authors:, Karsten Jedamzik,

Journal: Phys.Rept. 307 (1998) 155-162

url: http://arxiv.org/pdf/astro-ph/9805147v1.pdf

Abstract: Observations by the MACHO collaboration indicate that a significant fraction of the galactic halo dark matter may be in form of compact objects with masses $M\sim 0.5M_{\odot}$. Identification of these objects as red or white dwarfs is problematic due to stringent observational upper limits on such dwarf populations. Primordial black hole (PBH) formation from pre-existing density fluctuations is facilitated during the cosmic QCD transition due to a significant decrease in pressure forces. For generic initial density perturbation spectra this implies that essentially all PBHs may form with masses close to the QCD-horizon scale, $M_h^{QCD}\sim 1M_{\odot}$. It is possible that such QCD PBHs contribute significantly to the closure density today. I discuss the status of theoretical predictions for the properties of QCD PBH dark matter. Observational signatures of and constraints on a cosmic solar mass PBH population are also discussed.

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Astrophysical Constraints on Primordial Black Hole Formation from   Collapsing Cosmic Strings

Published Paper #: 35

Authors:, U. F. Wichoski, Jane H. MacGibbon, Robert H. Brandenberger,

Journal: Phys.Rept. 307 (1998) 191-196

url: http://arxiv.org/pdf/astro-ph/9804341v1.pdf

Abstract: Primordial Black Holes (PBH) may have formed from the collapse of cosmic string loops. The spectral shape of the PBH mass spectrum can be determined by the scaling argument for string networks. Limits on the spectral amplitude derived from extragalactic gamma-ray and galactic gamma-ray and cosmic ray flux observations as well as constraints from the possible formation of stable black holes remnants are reanalyzed. The new constraints are remarkably close to those derived from the normalization of the cosmic string model to the cosmic microwave background anisotropies.

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Cosmological Constraints from Primordial Black Holes

Published Paper #: 34

Authors:, Andrew R Liddle, Anne M Green,

Journal: Phys.Rept. 307 (1998) 125-131

url: http://arxiv.org/pdf/gr-qc/9804034v1.pdf

Abstract: Primordial black holes may form in the early Universe, for example from the collapse of large amplitude density perturbations predicted in some inflationary models. Light black holes undergo Hawking evaporation, the energy injection from which is constrained both at the epoch of nucleosynthesis and at the present. The failure as yet to unambiguously detect primordial black holes places important constraints. In this article, we are particularly concerned with the dependence of these constraints on the model for the complete cosmological history, from the time of formation to the present. Black holes presently give the strongest constraint on the spectral index $n$ of density perturbations, though this constraint does require $n$ to be constant over a very wide range of scales.

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Black holes and gravitational waves in string cosmology

Published Paper #: 33

Authors:, Edmund J Copeland, Andrew R Liddle, James E Lidsey, David Wands,

Journal: Phys.Rev.D58:063508,1998

url: http://arxiv.org/pdf/gr-qc/9803070v1.pdf

Abstract: Pre--big bang models of inflation based on string cosmology produce a stochastic gravitational wave background whose spectrum grows with decreasing wavelength, and which may be detectable using interferometers such as LIGO. We point out that the gravitational wave spectrum is closely tied to the density perturbation spectrum, and that the condition for producing observable gravitational waves is very similar to that for producing an observable density of primordial black holes. Detection of both would provide strong support to the string cosmology scenario.

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Evolution of a Primordial Black Hole Population

Published Paper #: 32

Authors:, P. S. Custodio, J. E. Horvath,

Journal: Phys.Rev. D58 (1998) 023504

url: http://arxiv.org/pdf/astro-ph/9802362v1.pdf

Abstract: We reconsider in this work the effects of an energy absorption term in the evolution of primordial black holes (hereafter PBHs) in the several epochs of the Universe. A critical mass is introduced as a boundary between the accreting and evaporating regimes of the PBHs. We show that the growth of PBHs is negligible in the Radiation-dominated Era due to scarcity of energy density supply from the expanding background, in agreement with a previous analysis by Carr and Hawking, but that nevertheless the absorption term is large enough for black holes above the critical mass to preclude their evaporation until the universe has cooled sufficiently. The effects of PBH motion are also discussed: the Doppler effect may give rise to energy accretion in black-holes with large peculiar motions relative to background. We discuss how cosmological constraints are modified by the introduction of the critical mass since that PBHs above it do not disturb the CMBR. We show that there is a large range of admissible masses for PBHs above the critical mass but well below the cosmological horizon. Finally we outline a minimal kinetic formalism, solved in some limiting cases, to deal with more complicated cases of PBH populations

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Preheating in Hybrid Inflation

Published Paper #: 31

Authors:, Juan Garcia-Bellido, Andrei Linde,

Journal: Phys.Rev.D57:6075-6088,1998

url: http://arxiv.org/pdf/hep-ph/9711360v2.pdf

Abstract: We investigate the possibility of preheating in hybrid inflation. This scenario involves at least two scalar fields, the inflaton field $\phi$, and the symmetry breaking field $\sigma$. We found that the behavior of these fields after inflation, as well as the possibility of preheating (particle production due to parametric resonance), depends crucially on the ratio of the coupling constant $\lambda$ (self-interaction of the field $\sigma$) to the coupling constant $g^2$ (interaction of $\phi$ and $\sigma$). For $\lambda \gg g^2$, the oscillations of the field $\sigma$ soon after inflation become very small, and all the energy is concentrated in the oscillating field $\phi$. For $\lambda \sim g^2$ both fields $\sigma$ and $\phi$ oscillate in a rather chaotic way, but eventually their motion stabilizes, and parametric resonance with production of $\chi$ particles becomes possible. For $\lambda \ll g^2$ the oscillations of the field $\phi$ soon after inflation become very small, and all the energy is concentrated in the oscillating field $\sigma$. Preheating can be efficient if the effective masses of the fields $\phi$ and $\sigma$ are much greater than the Hubble constant, or if these fields are coupled to other light scalar (or vector) fields $\chi$. In the recently proposed hybrid models with a second stage of inflation after the phase transition, both preheating and usual reheating are inefficient. Therefore for a very long time the universe remains in a state with vanishing pressure. As a result, density contrasts generated during the phase transition in these models can grow and collapse to form primordial black holes. Under certain conditions, most of the energy density after inflation will be stored in small black holes, which will later evaporate and reheat the universe.

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Quantum Fields in Schwarzschild-de Sitter Space

Published Paper #: 30

Authors:, Wu Zhong Chao,

Journal: Int.J.Mod.Phys. D7 (1998) 887-907

url: http://arxiv.org/pdf/gr-qc/9712066v1.pdf

Abstract: In the No-Boundary Universe a primordial black hole is created from a constrained gravitational instanton. The black hole created is immersed in the de Sitter background with a positive cosmological constant. The constrained instanton is characterized not only by the external parameters, the mass parameter, charge and angular momentum, but also by one more internal parameter, the identification period in the imaginary time coordinate. Although the period has no effect on the black hole background, its inverse is the temperature of the no-boundary state of the perturbation modes perceived by an observer. By using the Bogoliubov transformation, we show that the perturbation modes of both scalar and spinor fields are in thermal q equilibrium with the black hole background at the arbitrary temperature. However, for the two extreme cases, the de Sitter and the Nariai models, the no-boundary state remains pure.

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Primordial Black Hole Formation in a Double Inflation Model in   Supergravity

Published Paper #: 29

Authors:, M. Kawasaki, N. Sugiyama, T. Yanagida,

Journal: Phys.Rev.D57:6050-6056,1998

url: http://arxiv.org/pdf/hep-ph/9710259v2.pdf

Abstract: It has been recently pointed out that the initial value problem in new inflation models is naturally solved by supergravity effects if there exists a pre-inflation before the new inflation. We study this double inflation model in details and find that density fluctuations on small cosmological scales are much larger than those on large scales due to peculiar property of the new inflation. We show that this results in production of primordial black holes which have $\sim 1 M_{\odot}$ masses in a certain parameter region of the double inflation model. We stress that these black holes may be identified with MACHOs observed in the halo of our galaxy.

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Non-linear metric perturbations and production of primordial black holes

Published Paper #: 28

Authors:, P. Ivanov,

Journal: Phys.Rev. D57 (1998) 7145-7154

url: http://arxiv.org/pdf/astro-ph/9708224v1.pdf

Abstract: We consider the simple inflationary model with peculiarity in the form of "plateau" in the inflaton potential. We use the formalism of coarse-grained field to describe the production of metric perturbations $h$ of an arbitrary amplitude and obtain non-Gaussian probability function for such metric perturbations. We associate the spatial regions having large perturbations $h\sim 1$ with the regions going to primordial black holes after inflation. We show that in our model the non-linear effects can lead to overproduction of the primordial black holes.

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Effective dynamics of self-gravitating extended objects

Published Paper #: 27

Authors:, S. Ansoldi, A. Aurilia, R. Balbinot, E. Spallucci,

Journal: Phys.Essays 9 (1996) 556

url: http://arxiv.org/pdf/gr-qc/9707001v1.pdf

Abstract: We introduce an effective Lagrangian which describes the classical and semiclassical dynamics of spherically symmetric, self-gravitating objects that may populate the Universe at large and small (Planck) scale. These include wormholes, black holes and inflationary bubbles. We speculate that such objects represent some possible modes of fluctuation in the primordial spacetime foam out of which our universe was born. Several results obtained by different methods are encompassed and reinterpreted by our effective approach. As an example, we discuss: i) the gravitational nucleation coefficient for a pair of Minkowski bubbles, and ii) the nucleation coefficient of an inflationary vacuum bubble in a Minkowski background

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Primordial black hole constraints in cosmologies with early matter   domination

Published Paper #: 26

Authors:, Anne M Green, Andrew R Liddle, Antonio Riotto,

Journal: Phys. Rev. D 56, 7559 (1997)

url: http://arxiv.org/pdf/astro-ph/9705166v1.pdf

Abstract: Moduli fields, a natural prediction of any supergravity and superstring-inspired supersymmetry theory, may lead to a prolonged period of matter domination in the early Universe. This can be observationally viable provided the moduli decay early enough to avoid harming nucleosynthesis. If primordial black holes form, they would be expected to do so before or during this matter dominated era. We examine the extent to which the standard primordial black hole constraints are weakened in such a cosmology. Permitted mass fractions of black holes at formation are of order $10^{-8}$, rather than the usual $10^{-20}$ or so. If the black holes form from density perturbations with a power-law spectrum, its spectral index is limited to $n \lesssim 1.3$, rather than the $n \lesssim 1.25$ obtained in the standard cosmology.

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Constraints on the density perturbation spectrum from primordial black   holes

Published Paper #: 25

Authors:, Anne M Green, Andrew R Liddle,

Journal: Phys. Rev. D 56, 6166 (1997)

url: http://arxiv.org/pdf/astro-ph/9704251v1.pdf

Abstract: We re-examine the constraints on the density perturbation spectrum, including its spectral index $n$, from the production of primordial black holes. The standard cosmology, where the Universe is radiation dominated from the end of inflation up until the recent past, was studied by Carr, Gilbert and Lidsey; we correct two errors in their derivation and find a significantly stronger constraint than they did, $n \lesssim 1.25$ rather than their 1.5. We then consider an alternative cosmology in which a second period of inflation, known as thermal inflation and designed to solve additional relic over-density problems, occurs at a lower energy scale than the main inflationary period. In that case, the constraint weakens to $n \lesssim 1.3$, and thermal inflation also leads to a `missing mass' range, $10^{18} g \lesssim M \lesssim 10^{26} g$, in which primordial black holes cannot form. Finally, we discuss the effect of allowing for the expected non-gaussianity in the density perturbations predicted by Bullock and Primack, which can weaken the constraints further by up to 0.05.

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Primordial Black Hole Formation during the QCD Epoch

Published Paper #: 24

Authors:, K. Jedamzik,

Journal: Phys.Rev.D55:5871-5875,1997

url: http://arxiv.org/pdf/astro-ph/9605152v3.pdf

Abstract: We consider the formation of horizon-size primordial black holes (PBH's) from pre-existing density fluctuations during cosmic phase transitions. It is pointed out that the formation of PBH's should be particularly efficient during the QCD epoch due to a substantial reduction of pressure forces during adiabatic collapse, or equivalently, a significant decrease in the effective speed of sound during the color-confinement transition. Our considerations imply that for generic initial density perturbation spectra PBH mass functions are expected to exhibit a pronounced peak on the QCD-horizon mass scale $\sim 1 M_{\odot}$. This mass scale is roughly coincident with the estimated masses for compact objects recently observed in our galactic halo by the MACHO collaboration. Black holes formed during the QCD epoch may offer an attractive explanation for the origin of halo dark matter evading possibly problematic nucleosynthesis and luminosity bounds on baryonic halo dark matter.

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Calculation of the emergent spectrum and observation of primordial black   holes

Published Paper #: 23

Authors:, Andrew F. Heckler,

Journal: Phys.Rev.Lett.78:3430-3433,1997

url: http://arxiv.org/pdf/astro-ph/9702027v1.pdf

Abstract: We calculate the emergent spectrum of microscopic black holes, which emit copious amounts of thermal ``Hawking'' radiation, taking into account the proposition that (contrary to previous models) emitted quarks and gluons do not directly fragment into hadrons, but rather interact and form a photosphere and decrease in energy before fragmenting. The resulting spectrum emits copious amount of photons at energies around 100MeV. We find that the limit on the average universal density of black holes is not significantly affected by the photosphere. However we also find that gamma ray satellites such as EGRET and GLAST are well suited to look for nearby black holes out to a distance on the order of 0.3 parsecs, and conclude that if black holes are clustered locally as much as luminous matter, they may be directly detectable.

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Reionization of the Universe induced by Primordial Black Holes

Published Paper #: 22

Authors:, Marina Gibilisco,

Journal: Int.J.Mod.Phys.A11:5541-5568,1996

url: http://arxiv.org/pdf/astro-ph/9611227v1.pdf

Abstract: In this paper I will discuss the possibility of a reionization of the Universe due to the photons emitted by evaporating primordial black holes (PBHs); this process should happen during the last stages of the PBHs life, when the particle emission is very intense. I will study the time evolution of the ionization degree x, of the plasma temperature $T_{e}$ and of the photon number density $n_{\gamma}$ characterizing the Universe after the recombination epoch: a system of coupled differential equations for these variables is solved in an analytical way by assuming, as a photon source, PBHs having an initial mass $M\sim 10^{14}$ g. The results I obtain prove that such a kind of reionization is possible, being able to increase the ionization degree of the Universe from a value x=0.002 (just after the recombination) to values near 1 (when the black holes evaporation ends).

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Non-Gaussian Fluctuations and Primordial Black Holes from Inflation

Published Paper #: 21

Authors:, James S. Bullock, Joel R. Primack,

Journal: Phys. Rev. D 55, 7423 (1997)

url: http://arxiv.org/pdf/astro-ph/9611106v1.pdf

Abstract: We explore the role of non-Gaussian fluctuations in primordial black hole (PBH) formation and show that the standard Gaussian assumption, used in all PBH formation papers to date, is not justified. Since large spikes in power are usually associated with flat regions of the inflaton potential, quantum fluctuations become more important in the field dynamics, leading to mode-mode coupling and non-Gaussian statistics. Moreover, PBH production requires several sigma (rare) fluctuations in order to prevent premature matter dominance of the universe, so we are necessarily concerned with distribution tails, where any intrinsic skewness will be especially important. We quantify this argument by using the stochastic slow-roll equation and a relatively simple analytic method to obtain the final distribution of fluctuations. We work out several examples with toy models that produce PBH's, and show that the naive Gaussian assumption can result in errors of many orders of magnitude. For models with spikes in power, our calculations give sharp cut-offs in the probability of large positive fluctuations, meaning that Gaussian distributions would vastly over-produce PBH's. The standard results that link inflation-produced power spectra and PBH number densities must then be reconsidered, since they rely quite heavily on the Gaussian assumption. We point out that since the probability distributions depend on the nature of the potential, it is impossible to obtain results for general models. However, calculating the distribution of fluctuations for any specific model seems to be relatively straightforward, at least in the single inflaton case.

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The Gunn Peterson effect: a test for a black holes induced   photoionization of the intergalactic medium

Published Paper #: 20

Authors:, Marina Gibilisco,

Journal: Int.J.Mod.Phys. A12 (1997) 2855-2888

url: http://arxiv.org/pdf/astro-ph/9609053v1.pdf

Abstract: Many experimental evidences indicate the presence of a ionizing background radiation flux at large redshifts; in some previous works I suggested the possibility that this ionizing flux comes from the quantum evaporation of primordial black holes (PBHs). Here I discuss the constraints that the experimental measurements put upon the free parameters of this reionization model and I study the absorption of the ionizing background due to $\lia$ clouds: in particular, I discuss this phenomenon in presence of different absorption levels and I calculate the HI Gunn Peterson optical depth $\tau_{GP}(z)$; from a comparison with the experimental data I obtain a constraint on the intergalactic medium density parameter, namely $\Omega_{IGM}$ $<0.020$. A study of the characteristics of the absorbers is also performed; finally, the same kind of analysis is repeated for He II.

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Expected Enhancement of the Primary Antiproton Flux at the Solar Minimum

Published Paper #: 19

Authors:, T. Mitsui, K. Maki, S. Orito,

Journal: Phys.Lett. B389 (1996) 169-175

url: http://arxiv.org/pdf/astro-ph/9608123v1.pdf

Abstract: We calculate the solar-modulated energy spectra of cosmic-ray antiprotons ($\bar{p}$'s) from two candidate primary sources, i.e., evaporating primordial black holes and the annihilation of neutralino dark matter, as well as for the secondary $\bar{p}$'s produced by cosmic-ray interactions with interstellar gas. A large enhancement toward the solar minimum phase emerges in the low-energy flux of $\bar{p}$'s from the primary sources, whereas the flux of the secondary $\bar{p}$'s, falling steeply below 2 GeV, does not significantly vary. This enables us to conduct a very sensitive search for primary $\bar{p}$ components by precisely measuring the $\bar{p}$ spectrum, especially at low energies, throughout the forthcoming solar minimum phase.

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Dirac Constraint Quantization of a Dilatonic Model of Gravitational   Collapse

Published Paper #: 18

Authors:, Karel V. Kuchar, Joseph D. Romano, Madhavan Varadarajan,

Journal: Phys.Rev.D55:795-808,1997

url: http://arxiv.org/pdf/gr-qc/9608011v1.pdf

Abstract: We present an anomaly-free Dirac constraint quantization of the string-inspired dilatonic gravity (the CGHS model) in an open 2-dimensional spacetime. We show that the quantum theory has the same degrees of freedom as the classical theory; namely, all the modes of the scalar field on an auxiliary flat background, supplemented by a single additional variable corresponding to the primordial component of the black hole mass. The functional Heisenberg equations of motion for these dynamical variables and their canonical conjugates are linear, and they have exactly the same form as the corresponding classical equations. A canonical transformation brings us back to the physical geometry and induces its quantization.

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Primordial Black Holes: Tunnelling vs. No Boundary Proposal

Published Paper #: 17

Authors:, Raphael Bousso, Stephen W. Hawking,

Journal: Grav.Cosmol.Suppl.4:28-37,1998

url: http://arxiv.org/pdf/gr-qc/9608009v1.pdf

Abstract: In the inflationary era, black holes came into existence together with the universe through the quantum process of pair creation. We calculate the pair creation rate from the no boundary proposal for the wave function of the universe. Our results are physically sensible and fit in with other descriptions of pair creation. The tunnelling proposal, on the other hand, predicts a catastrophic instability of de Sitter space to the nucleation of large black holes, and cannot be maintained.

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The influence of quarks and gluons jets coming from primordial black   holes on the reionization of the Universe

Published Paper #: 16

Authors:, Marina Gibilisco,

Journal: Int.J.Mod.Phys. A12 (1997) 4167-4198

url: http://arxiv.org/pdf/astro-ph/9604116v1.pdf

Abstract: The quantum evaporation of primordial black holes may have a relevant effect on the reionization of the Universe at small redshifts ($z \leq 60$): in this paper, I studied the possibility of a reionization induced by the photons emitted during the last stages of the black holes life. I also took into account the quark and gluons jets production, that sensibly modifies the blackbody Hawking emission spectrum. In this way, one obtains a ``late and sudden'' reionization process, characterised by a very well controlled rise of the plasma temperature: the plasma heating is not so high to induce a strong distortion of the CBR spectrum, in agreement with the recent FIRAS upper limit on the comptonization parameter.

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On the formation of a Hawking-radiation photosphere around microscopic   black holes

Published Paper #: 15

Authors:, Andrew F. Heckler,

Journal: Phys.Rev. D55 (1997) 480-488

url: http://arxiv.org/pdf/astro-ph/9601029v1.pdf

Abstract: We show that once a black hole surpasses some critical temperature $T_{crit}$, the emitted Hawking radiation interacts with itself and forms a nearly thermal photosphere. Using QED, we show that the dominant interactions are bremsstrahlung and electron-photon pair production, and we estimate $T_{crit} \sim m_{e}/\alpha^{5/2}$, which when calculated more precisely is found to be $T_{crit} \approx $45 GeV. The formation of the photosphere is purely a particle physics effect, and not a general relativistic effect, since the the photosphere forms roughly $\alpha^{-4}$ Schwarzschild radii away from the black hole. The temperature $T$ of the photosphere decreases with distance from the black hole, and the outer surface is determined by the constraint $T\sim m_{e}$ (for the QED case), since this is the point at which electrons and positrons annihilate, and the remaining photons free stream to infinity. Observational consequences are discussed, and it is found that, although the QED photosphere will not affect the Page-Hawking limits on primordial black holes, which is most important for 100MeV black holes, the inclusion of QCD interactions may significantly effect this limit, since for QCD we estimate $T_{crit}\sim \Lambda_{QCD}$. The photosphere greatly reduces possibility of observing individual black holes with temperatures greater than $T_{crit}$, since the high energy particles emitted from the black hole are processed through the photosphere to a lower energy, where the gamma ray background is much higher. The temperature of the plasma in the photosphere can be extremely high, and this offers interesting possibilities for processes such as symmetry restoration.

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Local Flux of Low-Energy Antiprotons from Evaporating Primordial Black   Holes

Published Paper #: 14

Authors:, K. Maki, T. Mitsui, S. Orito,

Journal: Phys.Rev.Lett. 76 (1996) 3474-3477

url: http://arxiv.org/pdf/astro-ph/9601025v1.pdf

Abstract: We investigate low-energy cosmic-ray antiprotons ($\bar{p}$'s) arising from the fragmentation of quarks and gluons emitted from evaporating primordial black holes (PBHs). To calculate the local interstellar flux of these $\bar{p}$'s, their propagation in the Galaxy is described by a 3-D Monte Carlo simulation based on the diffusion model. This flux is used with recent observations to derive new upper limits on (i) the local PBH explosion rate ${\cal R}<1.7\times10^{-2}$ pc$^{-3}$yr$^{-1}$, (ii) the fraction of the Universe's mass going into PBHs with particular mass, and (iii) the average density of PBHs in the Universe.

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The Probability for Primordial Black Holes

Published Paper #: 13

Authors:, R. Bousso, S. W. Hawking,

Journal: Phys.Rev. D52 (1995) 5659-5664

url: http://arxiv.org/pdf/gr-qc/9506047v2.pdf

Abstract: We consider two quantum cosmological models with a massive scalar field: an ordinary Friedmann universe and a universe containing primordial black holes. For both models we discuss the complex solutions to the Euclidean Einstein equations. Using the probability measure obtained from the Hartle-Hawking no-boundary proposal, we find that the only unsuppressed black holes start at the Planck size but can grow with the horizon scale during the roll down of the scalar field to the minimum.

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Formation of MACHO-Primordial Black Holes in Inflationary Cosmology

Published Paper #: 12

Authors:, Jun'ichi Yokoyama,

Journal: Astron.Astrophys.318:673,1997

url: http://arxiv.org/pdf/astro-ph/9509027v1.pdf

Abstract: As a nonbaryonic explanation of massive compact halo objects, a phenomenological model is presented which predicts formation of primordial black holes at a desired mass scale. The required feature of initial density fluctuation is realized making use of the primordially isocurvature fluctuation generated in an inflationary universe model with multiple scalar fields.

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HELIUM PHOTODISINTEGRATION AND NUCLEOSYNTHESIS: IMPLICATIONS FOR   TOPOLOGICAL DEFECTS, HIGH ENERGY COSMIC RAYS, AND MASSIVE BLACK HOLES

Published Paper #: 11

Authors:, G. Sigl, K. Jedamzik, D. N. Schramm, V. S. Berezinsky,

Journal: Phys.Rev.D52:6682-6693,1995

url: http://arxiv.org/pdf/astro-ph/9503094v1.pdf

Abstract: We consider the production of $^3$He and $^2$H by $^4$He photodisintegration initiated by non-thermal energy releases during early cosmic epochs. We find that this process cannot be the predominant source of primordial $^2$H since it would result in anomalously high $^3$He/D ratios in conflict with standard chemical evolution assumptions. We apply this fact to constrain topological defect models of highest energy cosmic ray (HECR) production. Such models have been proposed as possible sources of ultrahigh energy particles and gamma-rays with energies above $10^{20}$eV. The constraints on these models derived from $^4$He-photodisintegration are compared to corresponding limits from spectral distortions of the cosmic microwave background radiation (CMBR) and from the observed diffuse gamma-ray background. It is shown that for reasonable primary particle injection spectra superconducting cosmic strings, unlike ordinary strings or annihilating monopoles, cannot produce the HECR flux at the present epoch without violating at least the $^4$He-photodisintegration bound. The constraint from the diffuse gamma-ray background rules out the dominant production of HECR by the decay of Grand Unification particles in models with cosmological evolution assuming standard fragmentation functions. Constraints on massive black hole induced photodisintegration are also discussed.

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NEUTRINOS FROM PRIMORDIAL BLACK HOLES

Published Paper #: 10

Authors:, Francis Halzen, Bettina Keszthelyi, Enrique Zas,

Journal: Phys.Rev. D52 (1995) 3239-3247

url: http://arxiv.org/pdf/hep-ph/9502268v1.pdf

Abstract: The emission of particles from black holes created in the early Universe has detectable astrophysical consequences. The most stringent bound on their abundance has been obtained from the absence of a detectable diffuse flux of 100 MeV photons. Further scrutiny of these bounds is of interest as they, for instance, rule out primordial black holes as a dark matter candidate. We here point out that these bounds can, in principle, be improved by studying the diffuse cosmic neutrino flux. Measurements of near-vertical atmospheric neutrino fluxes in a region of low geomagnetic latitude can provide a competitive bound. The most favorable energy to detect a possible diffuse flux of primordial black hole origin is found to be a few MeV. We also show that measurements of the diffuse $\nu _\tau$ flux is the most promising to improve the existing bounds deduced from gamma-ray measurements. Neutrinos from individual black hole explosions can be detected in the GeV-TeV energy region. We find that the kilometer-scale detectors, recently proposed, are able to establish competitive bounds.

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Origin of Quasar Progenitors from the Collapse of Low-Spin Cosmological   Perturbations

Published Paper #: 9

Authors:, Daniel J. Eisenstein, Abraham Loeb,

Journal: Astrophys.J.443:11,1995

url: http://arxiv.org/pdf/astro-ph/9401016v2.pdf

Abstract: We show that seeds for quasar black holes could have originated from the initial cosmological collapse of overdense regions with unusually small rotation. The gas in these rare regions collapses into a compact disk that shrinks on a short viscous time scale. Using an analytical model, we calculate the low-spin tail of the probability distribution of angular momenta for objects that collapse out of a Gaussian random field of initial density perturbations. The population of low-spin systems is significant for any viable power spectrum of primordial density perturbations. Most objects form just above the cosmological Jeans mass (\sim 10^5 M_sun) at high redshifts z>10. In the standard cold dark matter cosmology, the comoving density of 10^{6-7} M_sun objects with viscous evolution times shorter than 10^{6-7} years is about 10^{-3} (h/0.5)^3 Mpc^{-3}, comparable to the local density of bright galaxies. The seed black holes tend to reside within larger mass systems that collapse later and supply the gas needed for the bright quasar activity.

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Superradiance around Rotating Dilatonic Black Hole

Published Paper #: 8

Authors:, Jun-ichirou Koga, Kei-ichi Maeda,

Journal: Phys.Lett. B340 (1994) 29-34

url: http://arxiv.org/pdf/hep-th/9408084v2.pdf

Abstract: We consider a superradiance effect around rotating dilatonic black holes. We analyze two cases: one is an exact solution with the coupling constant $\alpha=\sqrt{3}$, which effective action is reduced from the 5-dimensional Kaluza-Klein theory, and the other is a slowly rotating dilatonic black holes with arbitrary coupling constant. We find that there exists a critical value ($\alpha \sim 1$), which is predicted from a superstring model, and the superradiant emission rate with coupling larger than the critical value becomes much higher than the Kerr-Newman case ($\alpha=0$) in the maximally charged limit. Consequently, 4-dimensional primordial black holes in higher dimensional unified theories are either rotating but almost neutral or charged but effectively non-rotating.

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Probability Distribution of Primordial Angular Momentum and Formation of   Massive Black Holes

Published Paper #: 7

Authors:, Hajime Susa, Misao Sasaki, Takahiro Tanaka,

Journal: Prog.Theor.Phys.92:961-974,1994

url: http://arxiv.org/pdf/astro-ph/9405057v1.pdf

Abstract: We consider the joint probability distribution function for the mass contrast and angular momentum of over-density regions on the proto- galactic scale and investigate the formation of massive black holes at redshift $z\gsim10$. We estimate the growth rate of the angular momentum by the linear perturbation theory and the decay rate by the Compton drag and apply the Press-Schechter theory to obtain the formation rate of massive black holes, assuming the full reionization of the universe at $z=z_{ion}\gg 10$. We find the correlation between the mass contrast and angular momentum vanishes in the linear theory. However, application of the Press-Schechter theory introduces a correlation between the mass contrast and angular momentum of bound objects. Using thus obtained probability distribution, we calculate the mass fraction of black holes with $M\sim10^6-10^8M_{\odot}$ in the universe. We find that it crucially depends on the reionization epoch $z_{ion}$. Specifically, for the standard CDM power spectrum with the COBE normalization, the condition $z_{ion}\gsim 500$ must be satisfied to reproduce the observed number density of QSOs.

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Black Hole Relics and Inflation: Limits on Blue Perturbation Spectra

Published Paper #: 6

Authors:, Bernard J. Carr, Jonathan H. Gilbert, James E. Lidsey,

Journal: Phys.Rev.D50:4853-4867,1994

url: http://arxiv.org/pdf/astro-ph/9405027v1.pdf

Abstract: Blue primordial power spectra have spectral index $n>1$ and arise naturally in the recently proposed hybrid inflationary scenario. An observational upper limit on {\em n} is derived by normalizing the spectrum at the quadrupole scale and considering the possible overproduction of Planck mass relics formed in the final stage of primordial black hole evaporation. In the inflationary Universe with the maximum reheating temperature compatible with the observed quadrupole anisotropy, the upper limit is $n=1.4$, but it is slightly weaker for lower reheat temperatures. This limit applies over 57 decades of mass and is therefore insensitive to cosmic variance and any gravitational wave contribution to the quadrupole anisotropy. It is also independent of the dark matter content of the Universe and therefore the bias parameter. In some circumstances, there may be an extended dust-like phase between the end of inflation and reheating. In this case, primordial black holes form more abundantly and the upper limit is $n=1.3$.

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An Upper Limit to the Mass of Black Holes in the Halo of our Galaxy

Published Paper #: 5

Authors:, Ben Moore,

Journal: Astrophys.J. 413 (1993) L93

url: http://arxiv.org/pdf/astro-ph/9306004v1.pdf

Abstract: If massive black holes constitute the dark matter in the halo surrounding the Milky Way, the existence of low mass globular clusters in the halo suggests an upper limit to their mass, $M_{_{BH}}$. We use a combination of the impulse approximation and numerical simulations to constrain $M_{_{BH}} \lsim 10^3M_\odot$, otherwise several of the halo globular clusters would be heated to disruption within one half of their lifetime. Taken at face value, this constraint is three orders of magnitude stronger than the previous limit provided by disk heating arguments. However, since the initial mass function of clusters is unknown, we argue that the real constraint is at most, an order of magnitude weaker. Our results rule out cosmological scenarios, such as versions of the Primordial Baryonic Isocurvature fluctuation model, which invoke the low Jeans mass at early epochs to create a large population of black holes of mass $\sim 10^6M_\odot$.

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Constraints on Cosmic Strings due to Black Holes Formed from Collapsed   Cosmic String Loops

Published Paper #: 4

Authors:, R. R. Caldwell, E. Gates,

Journal: Phys.Rev.D48:2581-2586,1993

url: http://arxiv.org/pdf/hep-ph/9306221v1.pdf

Abstract: The cosmological features of primordial black holes formed from collapsed cosmic string loops are studied. Observational restrictions on a population of primordial black holes are used to restrict $f$, the fraction of cosmic string loops which collapse to form black holes, and $\mu$, the cosmic string mass-per-unit-length. Using a realistic model of cosmic strings, we find the strongest restriction on the parameters $f$ and $\mu$ is due to the energy density in $100 MeV$ photons radiated by the black holes. We also find that inert black hole remnants cannot serve as the dark matter. If earlier, crude estimates of $f$ are reliable, our results severely restrict $\mu$, and therefore limit the viability of the cosmic string large-scale structure scenario.

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Exact Primordial Black Strings in Four Dimensions

Published Paper #: 3

Authors:, Nemanja Kaloper,

Journal: Phys.Rev. D48 (1993) 4658-4661

url: http://arxiv.org/pdf/hep-th/9303059v1.pdf

Abstract: A solution of effective string theory in four dimensions is presented which admits interpretation of a rotating black cosmic string. It is constructed by tensoring the three dimensional black hole, extended with the Kalb-Ramond axion, with a flat direction. The physical interpretation of the solution is discussed, with special attention on the axion, which is found to play a role very similar to a Higgs field. Finally, it is pointed out that the solution represents an exact WZWN $\sigma$ model on the string world sheet, to all orders in the inverse string tension $\alpha'$.

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Spontaneous CP Violation, Small Instanton and Invisible Axion

Published Paper #: 2

Authors:, Soo-Jong Rey,

Journal: Phys.Rev.D47:2652-2655,1993

url: http://arxiv.org/pdf/hep-ph/9209295v1.pdf

Abstract: I propose a variant invisible axion model of spontaneous CP violation at the electroweak scale without CP domain wall and `strong CP' problems. Both large size QCD and small size non-QCD instantons break CP and Peccei-Quinn symmetries, and render cosmologically harmful CP domain walls unstable. The decaying epoch depends on size of small instanton effects, and is around 100 eV if the current neutron electric dipole moment bound is maximally saturated. The model satisfies constraints from primordial D and He photo-dissociation and black hole formation, while producing cosmologically interesting size of gravitational waves and galaxy-scale density perturbations.

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Black Holes from Nucleating Strings

Published Paper #: 1

Authors:, Jaume Garriga, Alexander Vilenkin,

Journal: Phys.Rev. D47 (1993) 3265-3274

url: http://arxiv.org/pdf/hep-ph/9208212v1.pdf

Abstract: We evaluate the probability that a loop of string that has spontaneously nucleated during inflation will form a black hole upon collapse, after the end of inflation. We then use the observational bounds on the density of primordial black holes to put constraints on the parameters of the model. Other constraints from the distortions of the microwave background and emission of gravitational radiation by the loops are considered. Also, observational constraints on domain wall nucleation and monopole pair production during inflation are briefly discussed.

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