We revisit the thermodynamic stability of the standard black hole solutions by presenting 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. The global thermodynamic analysis is based on two equivalent criteria: the Hessian eigenvalue method in energy representation and the Sylvester criterion for positive definiteness of quadratic forms. The study of local thermodynamic stability is realized through the calculation of the admissible black hole heat capacities and their positiveness. The existence of critical points and phase transitions of the black hole is determined by the divergences of the corresponding heat capacities. This paper is the first in the line of intended works on thermodynamic stability of black holes in modified theories of gravity and holography.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.