Geometrothermodynamics of higher dimensional black holes
General Relativity and Quantum Cosmology
2013-11-19 v3 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1211.7134,
title = {Geometrothermodynamics of higher dimensional black holes},
author = {Alessandro Bravetti and Davood Momeni and Ratbay Myrzakulov and Hernando Quevedo},
journal= {arXiv preprint arXiv:1211.7134},
year = {2013}
}
Comments
Final version to be published in Gen. Rel. Grav