Probability of primordial black hole formation and its dependence on the radial profile of initial configurations
arXiv:0806.2752 · doi:10.1103/PhysRevD.79.044006
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.
arXiv commentVersion 2 with corrections from referees included, changes mostly improve the presentation
References in corpus (37)
- Halo Models of Large Scale Structure
- Observational Signatures and Non-Gaussianities of General Single Field Inflation
- A new approach to the evolution of cosmological perturbations on large scales
- A general proof of the conservation of the curvature perturbation
- Concentration, Spin and Shape of Dark Matter Haloes as a Function of the Cosmological Model: WMAP1, WMAP3 and WMAP5 results
- The inflationary prediction for primordial non-gaussianity
- Primordial non-gaussianities in single field inflation
- Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes
- Dynamics of Primordial Black Hole Formation
- Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity
- Large Non-Gaussianities in Single Field Inflation
- Computations of primordial black hole formation
- Black Hole Relics and Inflation: Limits on Blue Perturbation Spectra
- The abundance of high-redshift objects as a probe of non-Gaussian initial conditions
- Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
- A new calculation of the mass fraction of primordial black holes
- Non-Gaussian Fluctuations and Primordial Black Holes from Inflation
- Non-linear metric perturbations and production of primordial black holes
- Curvature profiles as initial conditions for primordial black hole formation
- Single-field inflation, anomalous enhancement of superhorizon fluctuations, and non-Gaussianity in primordial black hole formation
- Conserved non-linear quantities in cosmology
- Evolution of non-linear cosmological perturbations
- Black hole formation and slow-roll inflation
- Long wavelength iteration of Einstein's equations near a spacetime singularity
- Non-linear inflationary perturbations
- Primordial Black Holes, Eternal Inflation, and the Inflationary Parameter Space after WMAP5
- Constraints on the primordial curvature perturbation from primordial black holes
- Accuracy of slow-roll formulae for inflationary perturbations: implications for primordial black hole formation
- Gradient expansion approach to nonlinear superhorizon perturbations
- Can large-scale structure probe CMB-constrained non-Gaussianity?
- Large curvature perturbations near horizon crossing in single-field inflation models
- Cosmological Constraints from Primordial Black Holes
- Non-Gaussian corrections to the probability distribution of the curvature perturbation from inflation
- The effect of non-Gaussian curvature perturbations on the formation of primordial black holes
- Primordial Black Holes - Recent Developments
- Mass spectrum of primordial black holes from inflationary perturbation in the Randall-Sundrum braneworld: a limit on blue spectra
- Constraints on power spectrum of density fluctuations from PBH evaporations
Cited by in corpus (30)
- Threshold for primordial black holes: Dependence on the shape of the cosmological perturbations
- Generalised constraints on the curvature perturbation from primordial black holes
- Primordial black holes in non-Gaussian regimes
- Testing scenarios of primordial black holes being the seeds of supermassive black holes by ultracompact minihalos and CMB -distortions
- Running-Mass Inflation Model and Primordial Black Holes
- Separate Universes Do Not Constrain Primordial Black Hole Formation
- PBH formation from spherically symmetric hydrodynamical perturbations: a review
- Primordial Black Holes
- Formation of primordial black holes from non-Gaussian perturbations produced in a waterfall transition
- Simulations of PBH formation at the QCD epoch and comparison with the GWTC-3 catalog
- Fourth level MSSM inflation from new flat directions
- Effect of Vacuum Energy on Evolution of Primordial Black Holes in Einstein Gravity
- The long-short wavelength mode coupling tightens primordial black hole constraints
- Unification models with reheating via primordial black holes
- Primordial Black Holes With Multi-Modal Mass Spectra
- Self-consistent initial conditions for primordial black hole formation
- The effect of non-Gaussian curvature perturbations on the formation of primordial black holes
- Effect of accretion on primordial black holes in Brans-Dicke theory
- Non-Spherical Szekeres models in the language of Cosmological Perturbations
- On spherical dust fluctuations: the exact vs. the perturbative approach
- Astrophysical constraints on primordial black holes in Brans-Dicke theory
- Constraining Hybrid Natural Inflation with recent CMB data
- Brans-Dicke Theory and primordial black holes in Early Matter-Dominated Era
- Phantom energy accretion and primordial black holes evolution in Brans-Dicke theory
- Weighed scalar averaging in LTB dust models, part II: a formalism of exact perturbations
- Observable tensor-to-scalar ratio and secondary gravitational wave background
- Evolution of Primordial Black Hole Mass Spectrum in Brans-Dicke Theory
- The Effect of Curvaton Decay on the Primordial Power Spectrum
- Extended primordial black hole mass functions with a spike
- Vacuum energy and Primordial Black Holes in Brans-Dicke Theory