Thermodynamics and Geometrothermodynamics of Charged black holes in Massive Gravity

TL;DR

This paper investigates the thermodynamics and geometric structure of charged black holes in massive gravity, analyzing how parameters like curvature and graviton mass influence phase transitions and thermodynamic behavior.

Contribution

It introduces a comprehensive study of black hole thermodynamics in massive gravity, including effects of topology and geometrothermodynamics analysis.

Findings

Curvature and graviton mass significantly affect black hole thermodynamics.

Topology influences phase transition behavior.

Geometrothermodynamics effectively reproduces phase transition structures.

Abstract

The objective of this paper is to study the thermodynamics and thermodynamic geometry of charged de-Sitter and charged anti de-Sitter black hole solutions in massive gravity. We study the effect of curvature parameter as well as the mass of graviton in the thermodynamics of the black hole system. We further extend our studies to different topology of the space time and its effects on phase transition and thermodynamics. In addition, the phase transition structure of the black hole and its interactions are reproduced using geometrothermodynamics.