Black hole geometrothermodynamics

70 & 70 Gravitation Fest

Quevedo, Hernando^1,2

Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, AP 70543, DF 04510, Mexico^1

Mexico Dipartimento di Fisica, ICRANet, Università di Roma la Sapienza, Roma

I-00185, Italy^2

关键词: Classical thermodynamics;    Equilibrium state;    Gravity theory;    Legendre transformations;    Riemannian metrics;    Stability properties;    Thermodynamic systems;    Transition structures;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/831/1/012005/pdf
DOI  :  10.1088/1742-6596/831/1/012005

来源: IOP

【 摘 要 】

We review the main aspects of geometrothermodynamics which is a geometric formalism to describe thermodynamic systems, taking into account the invariance of classical thermodynamics with respect to Legendre transformations. We focus on the particular case of black holes, and present a Riemannian metric which describes the corresponding space of equilibrium states. We show that this metric can be used to describe the stability properties and phase transition structure of black holes in different gravity theories.