Rényi second laws for black holes

Abstract Hawking’s black hole area theorem provides a geometric realization of the second law of thermodynamics and constrains gravitational processes. In this work we explore a one-parameter extension of this constraint formulated in terms of the monotonicity properties of Rényi entropies. We focus...

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Main Authors: Alice Bernamonti, Federico Galli, Robert C. Myers, Ignacio A. Reyes
Format: Article
Language:English
Published: SpringerOpen 2024-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP10(2024)177
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author Alice Bernamonti
Federico Galli
Robert C. Myers
Ignacio A. Reyes
author_facet Alice Bernamonti
Federico Galli
Robert C. Myers
Ignacio A. Reyes
author_sort Alice Bernamonti
collection DOAJ
description Abstract Hawking’s black hole area theorem provides a geometric realization of the second law of thermodynamics and constrains gravitational processes. In this work we explore a one-parameter extension of this constraint formulated in terms of the monotonicity properties of Rényi entropies. We focus on black hole mergers in asymptotically AdS space and determine new restrictions which these Rényi second laws impose on the final state. We evaluate the entropic inequalities starting from the thermodynamic ensembles description of black hole geometries, and find that for many situations they set more stringent bounds than those imposed by the area increase theorem.
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issn 1029-8479
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publishDate 2024-10-01
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series Journal of High Energy Physics
spelling doaj-art-fa3b71e244c7426cba2e4b45a08a09322024-12-08T12:12:30ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241015010.1007/JHEP10(2024)177Rényi second laws for black holesAlice Bernamonti0Federico Galli1Robert C. Myers2Ignacio A. Reyes3Dipartimento di Fisica e Astronomia, Universitá di FirenzeINFN, Sezione di FirenzePerimeter Institute for Theoretical PhysicsInstitute for Theoretical Physics, University of AmsterdamAbstract Hawking’s black hole area theorem provides a geometric realization of the second law of thermodynamics and constrains gravitational processes. In this work we explore a one-parameter extension of this constraint formulated in terms of the monotonicity properties of Rényi entropies. We focus on black hole mergers in asymptotically AdS space and determine new restrictions which these Rényi second laws impose on the final state. We evaluate the entropic inequalities starting from the thermodynamic ensembles description of black hole geometries, and find that for many situations they set more stringent bounds than those imposed by the area increase theorem.https://doi.org/10.1007/JHEP10(2024)177Black HolesAdS-CFT CorrespondenceClassical Theories of Gravity
spellingShingle Alice Bernamonti
Federico Galli
Robert C. Myers
Ignacio A. Reyes
Rényi second laws for black holes
Journal of High Energy Physics
Black Holes
AdS-CFT Correspondence
Classical Theories of Gravity
title Rényi second laws for black holes
title_full Rényi second laws for black holes
title_fullStr Rényi second laws for black holes
title_full_unstemmed Rényi second laws for black holes
title_short Rényi second laws for black holes
title_sort renyi second laws for black holes
topic Black Holes
AdS-CFT Correspondence
Classical Theories of Gravity
url https://doi.org/10.1007/JHEP10(2024)177
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AT federicogalli renyisecondlawsforblackholes
AT robertcmyers renyisecondlawsforblackholes
AT ignacioareyes renyisecondlawsforblackholes