Thermodynamic Geometry of Reissener-Nordstr\"{o}m-de Sitter black hole and its extremal case

TL;DR

This paper explores the thermodynamic geometry of Reissner-Nordström-de Sitter and extremal MTZ black holes, revealing how geometric methods explain their abnormal thermodynamic behaviors.

Contribution

It applies thermodynamic geometric methods to analyze black holes with de Sitter backgrounds and their extremal limits, providing insights into their thermodynamic anomalies.

Findings

Thermodynamic geometry explains abnormalities in black hole thermodynamics.

Both black hole types exhibit similar thermodynamic geometric features.

Geometric methods successfully interpret all observed thermodynamic irregularities.

Abstract

We study the thermodynamics and the different thermodynamic geometric methods of Reissener-Nordstr\"{o}m-de Sitter black hole and its extremal case, which is similar to the de Sitter black hole coupled to a scalar field, rather called an MTZ black hole. While studying the thermodynamics of the systems, we could find some abnormalities. In both cases, the thermodynamic geometric methods could give the correct explanation for the all abnormal thermodynamic behaviors in the system.