https://doi.org/10.1140/epjp/s13360-024-05726-7
Regular Article
On thermodynamic stability of black holes. Part II: AdS family of solutions
1
Department of Physics, Sofia University, 5 J. Bourchier Blvd., 1164, Sofia, Bulgaria
2
The Bogoliubov Laboratory of Theoretical Physics, JINR, 141980, Dubna, Moscow Region, Russia
3
Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstr. 8-10, 1040, Vienna, Austria
Received:
15
April
2024
Accepted:
7
October
2024
Published online:
27
October
2024
This study is aimed at providing a thorough analysis of the classical thermodynamic stability of black holes within the anti-de Sitter (AdS) family. We utilize the Nambu bracket formalism to calculate local heat capacities and employ Sylvester’s criterion in the mass–energy ensemble to determine both local and global thermodynamic stability regions. Emphasizing the crucial role of the cosmological constant, we establish the conditions necessary for the existence of thermodynamically stable black hole configurations. Our work highlights the applicability of classical thermodynamics in understanding black hole physics, while acknowledging the potential deviations that may impact the observables of the system beyond the classical level.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.