The Formation Probability of Primordial Black Holes
Cosmology and Nongalactic Astrophysics
2021-09-02 v2 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
We calculate the exact formation probability of primordial black holes generated during the collapse at horizon re-entry of large fluctuations produced during inflation, such as those ascribed to a period of ultra-slow-roll. We show that it interpolates between a Gaussian at small values of the average density contrast and a Cauchy probability distribution at large values. The corresponding abundance of primordial black holes may be larger than the Gaussian one by several orders of magnitude. The mass function is also shifted towards larger masses.
Keywords
Cite
@article{arxiv.2105.07810,
title = {The Formation Probability of Primordial Black Holes},
author = {Matteo Biagetti and Valerio De Luca and Gabriele Franciolini and Alex Kehagias and Antonio Riotto},
journal= {arXiv preprint arXiv:2105.07810},
year = {2021}
}
Comments
4 pages, 3 figures, minor additions, references added, matches published version