Investigating formation condition of primordial black holes for generalized initial perturbation profiles

TL;DR

This paper numerically investigates the conditions under which primordial black holes form, revealing that their formation depends primarily on two key parameters across various initial curvature profiles.

Contribution

It introduces a comprehensive numerical analysis of PBH formation criteria for a broad class of initial curvature profiles, identifying the two main parameters governing formation.

Findings

PBH formation depends mainly on two master parameters.

Numerical solutions clarify formation criteria for diverse curvature profiles.

The study enhances understanding of primordial black hole formation conditions.

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 a wide class of curvature profiles characterized by five parameters. It is shown that formation or non-formation of PBHs is determined essentialy by only two master parameters.