Thermodynamics of a rotating black hole in minimal five-dimensional gauged supergravity

TL;DR

This paper investigates the thermodynamic properties and stability of a general non-extremal rotating black hole in five-dimensional gauged supergravity, analyzing entropy, temperature, free energy, and stability criteria.

Contribution

It provides a detailed thermodynamic analysis of rotating black holes in five-dimensional gauged supergravity, including stability conditions and thermodynamic diagrams.

Findings

Entropy-temperature relationship characterized

Thermodynamic stability conditions derived

Free energy and stability criteria analyzed

Abstract

In this article we study the thermodynamics of a general non-extremal rotating black hole in minimal five-dimensional gauged supergravity. We analyse the entropy-temperature diagram and the free energy. Additionally we consider the thermodynamic stability by calculating the specific heat, the isothermal moment of inertia tensor and the adiabatic compressibility.