Horizon Quantum mechanics: spherically symmetric and rotating sources
Abstract
The Horizon Quantum Mechanics is an approach that allows one to analyse the gravitational radius of spherically symmetric systems and compute the probability that a given quantum state is a black hole. We first review the (global) formalism and show how it reproduces a gravitationally inspired GUP relation. This results leads to unacceptably large fluctuations in the horizon size of astrophysical black holes if one insists in describing them as (smeared) central singularities. On the other hand, if they are extended systems, like in the corpuscular models, no such issue arises and one can in fact extend the formalism to include asymptotic mass and angular momentum with the harmonic model of rotating corpuscular black holes. The Horizon Quantum Mechanics then shows that, in simple configurations, the appearance of the inner horizon is suppressed and extremal (macroscopic) geometries seem disfavoured.
Keywords
Cite
@article{arxiv.1712.02376,
title = {Horizon Quantum mechanics: spherically symmetric and rotating sources},
author = {Roberto Casadio and Andrea Giugno and Andrea Giusti and Octavian Micu},
journal= {arXiv preprint arXiv:1712.02376},
year = {2018}
}
Comments
13 pages, 6 figures, based on a talk given at the International Lemaitre Workshop "Black holes, gravitational waves and spacetime singularities", Specola Vaticana, May 8-12, 2017