https://doi.org/10.1140/epjc/s10052-024-12639-3
Regular Article - Theoretical Physics
On thermodynamic stability of black holes. Part I: classical stability
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:
22
December
2023
Accepted:
3
March
2024
Published online:
18
March
2024
We revisit the classical thermodynamic stability of the standard black hole solutions by implementing the intrinsic necessary and sufficient conditions for stable global and local thermodynamic equilibrium. The criteria for such equilibria are quite generic and well-established in classical thermodynamics, but they have not been fully utilized in black hole physics. We show how weaker or incomplete conditions could lead to misleading or incorrect results for the thermodynamic stability of the system. We also stress the importance of finding all possible local heat capacities in order to fully describe the classical equilibrium picture of black holes. Finally, we thoroughly investigate the critical and phase transition curves and the limits of the classical analysis. This paper is the first in the line of intended works on thermodynamic stability of black holes in modified theories of gravity and holography.
© The Author(s) 2024
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