Geometric description of black hole thermodynamics with homogeneous fundamental equation

10th Mexican School on Gravitation and Mathematical Physics: "Reaching a Century: Classical and Modified General Relativity's Attempts to explain de evolution of the Universe"'

物理学;数学

Sánchez, Alberto^1

Departamento de Posgrado, CIIDET, API52, Quertaro, QRO

76000, Mexico^1

关键词: Black hole thermodynamics;    Classical thermodynamics;    Fundamental equations;    Geometric description;    Homogeneous functions;    Thermodynamic equilibria;    Thermodynamic functions;    Thermodynamic interactions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/654/1/012006/pdf
DOI  :  10.1088/1742-6596/654/1/012006

来源: IOP

【 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.