The volume of the black hole interior at late times
Abstract
Understanding the fate of semi-classical black hole solutions at very late times is one of the most important open questions in quantum gravity. In this paper, we provide a path integral definition of the volume of the black hole interior and study it at arbitrarily late times for black holes in various models of two-dimensional gravity. Because of a novel universal cancellation between the contributions of the semi-classical black hole spectrum and some of its non-perturbative corrections, we find that, after a linear growth at early times, the length of the interior saturates at a time, and towards a value, that is exponentially large in the entropy of the black hole. This provides a non-perturbative confirmation of the complexity equals volume proposal since complexity is also expected to plateau at the same value and at the same time.
Keywords
Cite
@article{arxiv.2107.06286,
title = {The volume of the black hole interior at late times},
author = {Luca V. Iliesiu and Márk Mezei and Gábor Sárosi},
journal= {arXiv preprint arXiv:2107.06286},
year = {2021}
}
Comments
36 pages, 10 figures