Forming sub-horizon black holes at the end of inflation

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 $Ps{i}_c\simeq 0.5$.

arXiv comment12 pages, 3 figures

References in corpus (13)

• Decoherence, the measurement problem, and interpretations of quantum mechanics
• Semiclassicality and Decoherence of Cosmological Perturbations
• Dynamics of Primordial Black Hole Formation
• Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity
• Computations of primordial black hole formation
• Black Hole Relics and Inflation: Limits on Blue Perturbation Spectra
• Quantum-to-classical transition for fluctuations in the early Universe
• Constraints on the density perturbation spectrum from primordial black holes
• On matching conditions for cosmological perturbations
• A new calculation of the mass fraction of primordial black holes
• The influence of cosmological transitions on the evolution of density perturbations
• Black hole constraints on the running-mass inflation model
• Black holes and gravitational waves in concert - a probe of superstring cosmology

Cited by in corpus (33)

• New cosmological constraints on primordial black holes
• Primordial Black Holes as Dark Matter
• Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -
• Primordial Black Holes as a dark matter candidate
• Primordial Black Holes
• Generalised constraints on the curvature perturbation from primordial black holes
• Induced gravitational wave background and primordial black holes
• Constraints on the induced gravitational wave background from primordial black holes
• Running-Mass Inflation Model and Primordial Black Holes
• Constraints on primordial density perturbations from induced gravitational waves
• Running Spectral Index and Formation of Primordial Black Hole in Single Field Inflation Models
• Non-gaussianity and cosmic uncertainty in curvaton-type models
• Formation of primordial black holes from non-Gaussian perturbations produced in a waterfall transition
• The hybrid inflation waterfall and the primordial curvature perturbation
• Constraints on amplitudes of curvature perturbations from primordial black holes
• Primordial Black Holes: sirens of the early Universe
• Constraints on the primordial curvature perturbation from primordial black holes
• Semiclassical geons as solitonic black hole remnants
• Unification models with reheating via primordial black holes
• Contribution of the hybrid inflation waterfall to the primordial curvature perturbation
• Formation of subhorizon black holes from preheating
• Constraints from primordial black hole formation at the end of inflation
• Brane Annihilations during Inflation
• Fields Annihilation and Particles Creation in DBI inflation
• Boosted perturbations at the end of inflation
• Observable Signatures of Inflaton Decays
• Primordial black holes: constraints, potential evidence and prospects
• Enhance Primordial Black Hole Abundance through the Non-linear Processes around Bounce Point
• Modulated Inflation Models and Primordial Black Holes
• Comoving curvature perturbation in Jordan and Einstein frames
• The Effect of Curvaton Decay on the Primordial Power Spectrum
• Stability of regular black holes and other compact objects with a charged de Sitter core and a surface matter layer
• Revisiting primordial black holes formation from preheating instabilities: the case of Starobinsky inflation