Some Thermodynamic Aspects of Black Holes and Singularities

TL;DR

This paper reviews and corrects critical exponents related to black hole thermodynamics, analyzes stability in various ensembles, and extends the study to negative mass black holes, providing new insights into their thermodynamic behavior.

Contribution

It offers a corrected analysis of critical exponents, explores stability in the canonical ensemble, and extends thermodynamic analysis to negative mass black holes, which is a novel contribution.

Findings

Corrected critical exponents for black hole phase transitions

Analyzed stability properties in the canonical ensemble

Extended thermodynamic analysis to negative mass black holes

Abstract

We review and correct the classical critical exponents characterizing the transition from negative to positive black hole's heat capacity at high charge--angular momentum. We discuss the stability properties of black holes as a thermodynamic system in equilibrium with a radiation bath (canonical ensamble) by using the Helmholtz free energy potential. We finally analytically extend the analysis to negative mass holes and study its thermodynamical stability behavior.