The effect of non-Gaussian curvature perturbations on the formation of primordial black holes

Abstract

This paper explores the consequences of non-Gaussian cosmological perturbations for the formation of primordial black holes (PBHs). A non-Gaussian probability distribution function (PDF) of curvature perturbations is presented with an explicit contribution from the three-point correlation function to linear order. The consequences of this non-Gaussian PDF for the large perturbations that form PBHs are then studied. Using the observational limits for the non-Gaussian parameter $f_{NL}$, new bounds to the mean amplitude of curvature perturbations are derived in the range of scales relevant for PBH formation.

arXiv comment18 pages, including 3 figures and one table. To be submitted to JCAP

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• Abundance of primordial black holes with local non-Gaussianity in peak theory
• PBH formation from spherically symmetric hydrodynamical perturbations: a review
• Primordial black hole constraints for curvaton models with predicted large non-Gaussianity
• Squeezed bispectrum and one-loop corrections in transient constant-roll inflation
• Non-Gaussianity in inflationary scenarios for primordial black holes
• Number Counts and Non-Gaussianity
• Probability of primordial black hole formation and its dependence on the radial profile of initial configurations
• Curvature perturbation spectra from waterfall transition, black hole constraints and non-Gaussianity
• Counts of high-redshift GRBs as probe of primordial non-Gaussianities
• Press-Schechter primordial black hole mass functions and their observational constraints
• Boosted perturbations at the end of inflation
• Non-Gaussianity constrains hybrid inflation
• Primordial black hole formation from non-Gaussian curvature perturbations
• Constraining the early universe with primordial black holes