Geometrothermodynamics of black holes in Lorentz non-invariant massive gravity

TL;DR

This paper applies geometrothermodynamics to analyze the thermodynamic properties and phase transitions of a static, spherically symmetric black hole in Lorentz non-invariant massive gravity, revealing insights into its thermodynamic interactions.

Contribution

It introduces a Legendre invariant geometric framework to study the thermodynamics of black holes in massive gravity, highlighting phase transition structures.

Findings

Geometry encodes thermodynamic interactions.

Critical points and phase transitions are identified.

Legendre invariance ensures consistent thermodynamic description.

Abstract

We analyze a static and spherically symmetric hairy black hole solution in non-invariant massive gravity. The formalism of geometrothermodynamics is used to describe the thermodynamic characteristics of this black hole in a Legendre invariant way. For a black hole in massive gravity, 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.