Quantum inequalities for quantum black holes

Fuente: arXiv
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Hauptverfasser: Frassino, Antonia M., Hennigar, Robie A., Pedraza, Juan F., Svesko, Andrew
Format: Preprint
Veröffentlicht: 2024
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author Frassino, Antonia M.
Hennigar, Robie A.
Pedraza, Juan F.
Svesko, Andrew
author_facet Frassino, Antonia M.
Hennigar, Robie A.
Pedraza, Juan F.
Svesko, Andrew
contents 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 non-perturbative semiclassical gravity. Our quantum reverse isoperimetric inequality implies a maximum entropy state for quantum black holes at fixed volume.
format Preprint
id arxiv_https___arxiv_org_abs_2406_17860
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum inequalities for quantum black holes
Frassino, Antonia M.
Hennigar, Robie A.
Pedraza, Juan F.
Svesko, Andrew
High Energy Physics - Theory
General Relativity and Quantum Cosmology
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 non-perturbative semiclassical gravity. Our quantum reverse isoperimetric inequality implies a maximum entropy state for quantum black holes at fixed volume.
title Quantum inequalities for quantum black holes
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2406.17860