Small Spins of Primordial Black Holes from Random Geometries: BekensteinHawking Entropy and Gravitational Wave Observations
Abstract
Black hole entropy is a robust prediction of quantum gravity with no established phenomenological consequences to date. We use the BekensteinHawking entropy formula and generalrelativistic statistical mechanics to determine the probability distribution of random geometries uniformly sampled in phase space. We show that this statistics (in the limit $\hbar\to 0$) is relevant to large curvature perturbations, resulting in a population of primordial black holes with zero natal spin. In principle, the identification of such a population at LIGO, Virgo, and future gravitational wave observatories could provide the first observational evidence for the statistical nature of black hole entropy.
 Publication:

arXiv eprints
 Pub Date:
 December 2018
 arXiv:
 arXiv:1812.05127
 Bibcode:
 2018arXiv181205127B
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 9 pages, 3 figures