Phase transitions, shadows, and microstructure of Reissner-Nordström-Anti-de-Sitter black holes from a geometrothermodynamic perspective

We study the thermodynamic properties of the Reissner-Nordström black hole with cosmological constant, expressed in terms of the curvature radius, using the approach of shadow thermodynamics and the formalism of geometrothermodynamics. We derive explicit expressions for the shadow radius in terms of...

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Main Authors: Jose M. Ladino, Carlos E. Romero-Figueroa, Hernando Quevedo
Format: Article
Language:English
Published: Elsevier 2024-12-01
Series:Nuclear Physics B
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Online Access:http://www.sciencedirect.com/science/article/pii/S0550321324003006
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author Jose M. Ladino
Carlos E. Romero-Figueroa
Hernando Quevedo
author_facet Jose M. Ladino
Carlos E. Romero-Figueroa
Hernando Quevedo
author_sort Jose M. Ladino
collection DOAJ
description We study the thermodynamic properties of the Reissner-Nordström black hole with cosmological constant, expressed in terms of the curvature radius, using the approach of shadow thermodynamics and the formalism of geometrothermodynamics. We derive explicit expressions for the shadow radius in terms of the horizon, photon sphere, and observer radii. The phase transition structure turns out to strongly depend on the value of the curvature radius, including configurations with zero, one, or two phase transitions. We also analyze the black hole's microscopic structure and find differences between the approaches of thermodynamic geometry and geometrothermodynamics, which are due to the presence of the curvature radius. We impose the important condition that the black hole is a quasi-homogeneous thermodynamic system to guarantee the consistency of the geometrothermodynamic approach.
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series Nuclear Physics B
spelling doaj-art-2b2a694e25cf47b9b66d3f0bcfd1e4e52025-08-20T02:37:32ZengElsevierNuclear Physics B0550-32132024-12-01100911673410.1016/j.nuclphysb.2024.116734Phase transitions, shadows, and microstructure of Reissner-Nordström-Anti-de-Sitter black holes from a geometrothermodynamic perspectiveJose M. Ladino0Carlos E. Romero-Figueroa1Hernando Quevedo2Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, AP 70543, Mexico City, MexicoInstituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, AP 70543, Mexico City, MexicoInstituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, AP 70543, Mexico City, Mexico; Dipartimento di Fisica and Icra, Università di Roma “La Sapienza”, Roma, Italy; Al-Farabi Kazakh National University, Al-Farabi av. 71, 050040 Almaty, Kazakhstan; Corresponding author.We study the thermodynamic properties of the Reissner-Nordström black hole with cosmological constant, expressed in terms of the curvature radius, using the approach of shadow thermodynamics and the formalism of geometrothermodynamics. We derive explicit expressions for the shadow radius in terms of the horizon, photon sphere, and observer radii. The phase transition structure turns out to strongly depend on the value of the curvature radius, including configurations with zero, one, or two phase transitions. We also analyze the black hole's microscopic structure and find differences between the approaches of thermodynamic geometry and geometrothermodynamics, which are due to the presence of the curvature radius. We impose the important condition that the black hole is a quasi-homogeneous thermodynamic system to guarantee the consistency of the geometrothermodynamic approach.http://www.sciencedirect.com/science/article/pii/S0550321324003006Black hole shadowsPhase transitionsGeometrothermodynamics
spellingShingle Jose M. Ladino
Carlos E. Romero-Figueroa
Hernando Quevedo
Phase transitions, shadows, and microstructure of Reissner-Nordström-Anti-de-Sitter black holes from a geometrothermodynamic perspective
Nuclear Physics B
Black hole shadows
Phase transitions
Geometrothermodynamics
title Phase transitions, shadows, and microstructure of Reissner-Nordström-Anti-de-Sitter black holes from a geometrothermodynamic perspective
title_full Phase transitions, shadows, and microstructure of Reissner-Nordström-Anti-de-Sitter black holes from a geometrothermodynamic perspective
title_fullStr Phase transitions, shadows, and microstructure of Reissner-Nordström-Anti-de-Sitter black holes from a geometrothermodynamic perspective
title_full_unstemmed Phase transitions, shadows, and microstructure of Reissner-Nordström-Anti-de-Sitter black holes from a geometrothermodynamic perspective
title_short Phase transitions, shadows, and microstructure of Reissner-Nordström-Anti-de-Sitter black holes from a geometrothermodynamic perspective
title_sort phase transitions shadows and microstructure of reissner nordstrom anti de sitter black holes from a geometrothermodynamic perspective
topic Black hole shadows
Phase transitions
Geometrothermodynamics
url http://www.sciencedirect.com/science/article/pii/S0550321324003006
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