Probability of primordial black hole formation and its dependence on the radial profile of initial configurations

Hidalgo, Juan Carlos; Polnarev, A. G.

doi:10.1103/physrevd.79.044006

Cited by 32 publications

(26 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This aspect will be explored in future work [53], Another important aspect of the identification of exact fluctuations with synchronous-comoving quantities of the cosmological perturbation theory is that one can construct a direct correspondence between the matter variables of this description and those of the Newtonian cosmology (see, e.g. [14,43,54]), and a description of density profiles of initial inhomogeneities [55], Our method thus provides a direct path to compare fully non-linear Newtonian and relativistic results and the accuracy of the spherical symmetry assumption throughout the evolution of inhomogeneities.…”

Section: Discussionmentioning

confidence: 99%

Spherical dust fluctuations: The exact versus the perturbative approach

et al. 2015

View full text Add to dashboard Cite

We examine the relation between the dynamics of Lemaitre-Tolman-Bondi (LTB) dust models (with and without A) and the dynamics of dust perturbations in two of the more familiar formalisms used in cosmology: the metric based cosmological perturbation theory (CPT) and the covariant gauge invariant (GIC) perturbations. For this purpose we recast the evolution of LTB models in terms of a covariant and gauge invariant formalism of local and nonlocal "exact fluctuations" on a Friedmann-Lemaitre-Robertson-Walker (FLRW) background defined by suitable averages of covariant scalars. We examine the properties of these fluctuations, which can be defined for a confined comoving domain or for an asymptotic domain extending to whole time slices. In particular, the nonlocal density fluctuation provides a covariant and precise definition for the notion of the "density contrast." We show that in their linear regime these LTB exact fluctuations (local and nonlocal) are fully equivalent to the conventional cosmological perturbations in the synchronous-comoving gauge of CPT and to GIC perturbations. As an immediate consequence, we show the time-invariance of the spatial curvature perturbation in a simple form. The present work may provide important theoretical connections between the exact and perturbative (linear or nonlinear) approach to the dynamics of dust sources in general relativity.

show abstract

Section: Discussionmentioning

confidence: 99%

Spherical dust fluctuations: The exact versus the perturbative approach

et al. 2015

View full text Add to dashboard Cite

show abstract

“…Indeed, not all profiles of overdensities with a common amplitude will get to form PBHs [31,32], and the probability of formation might be significantly reduced, [33]. On the other hand, the overproduction of PBHs at the end of inflation could trigger the subsequent reheating period [34].…”

Section: Discussionmentioning

confidence: 99%

Constraining hybrid natural inflation with recent CMB data

Vázquez

González

Germán

et al. 2015

J. Cosmol. Astropart. Phys.

View full text Add to dashboard Cite

We study the Hybrid Natural Inflation (HNI) model and some of its realisations in the light of recent CMB observations, mainly Planck temperature and WMAP-9 polarization, and compare with the recent release of BICEP2 dataset. The inflationary sector of HNI is essentially given by the potential, where a is a positive constant smaller or equal to one and f is the scale of (pseudo Nambu-Goldstone) symmetry breaking. We show that to describe the HNI model realisations we only need two observables; the spectral index n s , the tensor-to-scalar ratio, and a free parameter in the amplitude of the cosine function a. We find that in order to make the HNI model compatible with the BICEP2 observations, we require a large positive running of the spectra. We find that this could over-produce primordial black holes (PBHs) in the most theoretically consistent case of the model. This situation could be alleviated if, as recently argued, the BICEP2 data do not correspond to primordial gravitational waves.

show abstract

“…In a more accurate analysis, one must take into account that the connection between M BH and M h is more complicated, and, in particular, depends on the type of the gravitational collapse [57,58,62,63]. Moreover, there can be a dependence on the shape of the radial fluctuation profile [64]. Using Eqs.…”

Section: Formulas For Pbh Mass Spectrum and Abundancementioning

confidence: 98%

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

Bugaev

Klimai

2012

Phys. Rev. D

View full text Add to dashboard Cite

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 PBH .

show abstract

Probability of primordial black hole formation and its dependence on the radial profile of initial configurations

Cited by 32 publications

References 51 publications

Spherical dust fluctuations: The exact versus the perturbative approach

Spherical dust fluctuations: The exact versus the perturbative approach

Constraining hybrid natural inflation with recent CMB data

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

Contact Info

Product

Resources

About