Rényi second laws for black holes

Fuente: arXiv
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Autores principales: Bernamonti, Alice, Galli, Federico, Myers, Robert C., Reyes, Ignacio A.
Formato: Preprint
Publicado: 2024
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author Bernamonti, Alice
Galli, Federico
Myers, Robert C.
Reyes, Ignacio A.
author_facet Bernamonti, Alice
Galli, Federico
Myers, Robert C.
Reyes, Ignacio A.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_01753
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Rényi second laws for black holes
Bernamonti, Alice
Galli, Federico
Myers, Robert C.
Reyes, Ignacio A.
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Quantum Physics
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.
title Rényi second laws for black holes
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
Quantum Physics
url https://arxiv.org/abs/2407.01753