The volume of the black hole interior at late times
Open accessAbstract
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 test of the complexity equals volume proposal since complexity is also expected to plateau at the same value and at the same time.
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Including wormhole corrections to the black hole interior volume computation leads to a saturation of the growth at the timescale where non-perturbative random matrix effects kick in.
“The result is a saturation of the growth of the black hole interior size at the timescale where non-perturbative random matrix effects kick in .”
From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Iliesiu et al. 2022
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“However, recent developments show that the gravitational path integral has a surprisingly large regime of validity, with the exponentially small corrections coming from summing over topologies being capable of capturing fine details of spectral statistics [17–19], or the unitary Page curve of the entropy of an evapora…”
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Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity
Mertens, T. G., & Turiaci, G. J. (2023) · Living Reviews in Relativity · doi:10.1007/s41114-023-00046-1 · Cited by 181 · see citing works
- Authors
- Iliesiu, L. V., Mezei, M., & Sárosi, G.
- Affiliations
- Stanford University (US)
- Simons Center for Geometry and Physics (US)
- European Organization for Nuclear Research (CH)
- Corresponding author
- Iliesiu, Luca V.
- Mezei, Márk
- Sárosi, Gábor
- Venue
- Journal of High Energy Physics
- Published
- 2022-07
- Volume
- 2022
- Issue
- 7
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W3178119464
- Cited by
- 96
- References
- 11
- Citations by year
- 2026: 10 · 2025: 29 · 2024: 16 · 2023: 20 · 2022: 20 · 2021: 1
- FWCI
- 2.66
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Licence
- Locations
- Journal of High Energy Physics (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion, cc-by)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
- arXiv (Cornell University) (public-domain)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Keywords
- late-time behavior, two-dimensional gravity, path integral, non-perturbative corrections, black hole spectrum, black hole entropy, quantum gravity
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