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Quantum Inequalities for Quantum Black Holes

Frassino, Antonia M., Hennigar, Robie A., Pedraza, Juan F., Svesko, Andrew·2024·Physical Review Letters
DOI 10.1103/physrevlett.133.181501

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Abstract

We formulate spacetime inequalities applicable to quantum-corrected black holes to all orders of backreaction in semiclassical gravity. Namely, we propose refined versions of the quantum Penrose and reverse isoperimetric inequalities, valid for all known three-dimensional asymptotically anti–de Sitter quantum black holes. Previous proposals of the quantum Penrose inequality apply in higher dimensions but fail when applied in three dimensions beyond the perturbative regime. Our quantum Penrose inequality, valid in three dimensions, holds at all orders of backreaction. This suggests cosmic censorship must exist in nonperturbative semiclassical gravity. Our quantum reverse isoperimetric inequality implies a maximum entropy state for quantum black holes at fixed volume. Published by the American Physical Society 2024

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  • The superextremal black hole solutions are possible due to the combined non-linear effects of the rotation and quantum backreaction, and are consequently dubbed nonperturbative rotating black holes.

    “The superextremal black hole solutions are possible due to the combined non-linear effects of the rotation and quantum backreaction, and are consequently dubbed nonperturbative rotating black holes [135].”

    From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [135]

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Metadata

Authors
Frassino, A. M., Hennigar, R. A., Pedraza, J. F., & Svesko, A.
Affiliations
  • Universidad de Alcalá
  • Institut de Ciències del Cosmos
  • Instituto de Física Teórica UAM/CSIC
  • King’s College London
ORCID
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
2024-10-30
Volume
133
Issue
18
ISSN
  • 0031-9007
  • 1079-7114
DOI
10.1103/physrevlett.133.181501
Cited by
20
References
7
Language
en
Licence
creativecommons.org/licenses/by/4.0/ (vor)
Funders
  • Ministerio de Ciencia e Innovación (PID2019–105614 GB-C22)
  • Agència de Gestió d’Ajuts Universitaris i de Recerca (2017-SGR 754, PID2022-136224NB-C22)
  • Agencia Estatal de Investigación
  • Federación Española de Enfermedades Raras
  • Instituto de Ciencias del Cosmos, Universitat de Barcelona (CEX2019-000918-M)
  • Horizon 2020 Framework Programme
  • H2020 Marie Sklodowska-Curie Actions (101149470, 847648, LCF/BQ/PI21/11830027)
  • ’la Caixa’ Foundation (100010434)
  • European Regional Development Fund
  • Science and Technology Facilities Council (ST/X000753/1)
  • Comunidad de Madrid (2020-T1/TIC-20495)
  • Spanish Research Agency (CEX2020-001007-S, PID2021-123017NB-I00)

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