ExtremeValue Distributions and Primordial BlackHole Formation
Abstract
We argue that primordial blackhole formation must be described by means of extremevalue theory. This is a consequence of the large values of the energy density required to initiate the collapse of black holes in the early Universe and the finite duration of their collapse. Compared to the Gaussian description of the most extreme primordial density fluctuations, the holes' mass function is narrower and peaks towards larger masses. Secondly, thanks to the shallower falloff of extremevalue distributions, the predicted abundance of primordial black holes is boosted by $10^{7}$ orders of magnitude when extrapolating the observed nearly scalefree power spectrum of the cosmic largescale structure to primordial blackhole mass scales.
 Publication:

arXiv eprints
 Pub Date:
 January 2021
 arXiv:
 arXiv:2101.10340
 Bibcode:
 2021arXiv210110340K
 Keywords:

 Astrophysics  Cosmology and Nongalactic Astrophysics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 6 pages, 3 figures