Geometric description of black hole thermodynamics with homogeneous fundamental equation
[摘要] We investigate the Geometrothermodynamics of the 2-dimensional submanifold Ε corresponding the space of thermodynamic equilibrium states for a static and spherically symmetric hairy to black hole solution in Lorentz non-invariant massive gravity. We show that it is possible to consider a fundamental thermodynamic function as a homogeneous function of degree 1 in the extensive variables, as classical thermodynamics demand, in order to be consistent with the physical meaning of the intensive variables. The geometry of the space of equilibrium states is computed showing that it contains information about the thermodynamic interaction, critical points, and phase transitions structure.
[发布日期] [发布机构] Departamento de Posgrado, CIIDET, API52, Quertaro, QRO; 76000, Mexico^1
[效力级别] 数学 [学科分类]
[关键词] Black hole thermodynamics;Classical thermodynamics;Fundamental equations;Geometric description;Homogeneous functions;Thermodynamic equilibria;Thermodynamic functions;Thermodynamic interactions [时效性]
