Geometrothermodynamics of higher dimensional black holes

TL;DR

This paper explores the thermodynamic geometry of higher-dimensional black holes, identifying conditions for phase transitions and linking curvature singularities to these transitions.

Contribution

It extends geometrothermodynamics analysis to higher-dimensional black holes, revealing the relationship between curvature singularities and phase transitions.

Findings

Curvature singularities coincide with second order phase transitions.

The equilibrium manifold of higher-dimensional black holes is generally curved.

Conditions for phase transitions in Reissner-Nordström and Kerr black holes are identified.

Abstract

We study the thermodynamics and geometrothermodynamics of different black hole configurations in more than four spacetime dimensions. We find the conditions under which second order phase transitions occur in higher-dimensional static Reissner-Nordstr\"om and stationary Kerr black holes. Our results indicate that the equilibrium manifold of all these black hole configurations is in general curved and that curvature singularities appear exactly at those places where second order phase transitions occur.