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arXiv · 2405.04474

Geometrothermodynamics and critical behavior of regular black holes

H. Quevedo·M. N. Quevedo·A. Sanchez
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Abstract

We apply the formalism of quasi-homogeneous geometrothermodynamics to study the stability, phase transition, and criticality properties of the Bardeen regular black hole. We show that the singularities of thermodynamic curvature determine the regions where the stability conditions break down and indicate the location of the Davies phase transition and the zero-temperature limiting case. Moreover, we compute the critical exponents of the curvature and prove the existence of a scaling relation with the heat capacity.

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H. Quevedo, M. N. Quevedo, A. Sanchez. 2024-05-07. Geometrothermodynamics and critical behavior of regular black holes. https://arxiv.org/abs/2405.04474

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