Thermodynamic Geometry Of Charged Rotating BTZ Black Holes
General Relativity and Quantum Cosmology
2015-03-17 v1 Mathematical Physics
math.MP
Abstract
We study the thermodynamics and the thermodynamic geometries of charged rotating BTZ (CR-BTZ) black holes in (2+1)-gravity. We investigate the thermodynamics of these systems within the context of the Weinhold and Ruppeiner thermodynamic geometries and the recently developed formalism of geometrothermodynamics (GTD). Considering the behavior of the heat capacity and the Hawking temperature, we show that Weinhold and Ruppeiner geometries cannot describe completely the thermodynamics of these black holes and of their limiting case of vanishing electric charge. In contrast, the Legendre invariance imposed on the metric in GTD allows one to describe the CR-BTZ black holes and their limiting cases in a consistent and invariant manner.
Keywords
Cite
@article{arxiv.1101.2722,
title = {Thermodynamic Geometry Of Charged Rotating BTZ Black Holes},
author = {M. Akbar and H. Quevedo and K. Saifullah and A. Sanchez and S. Taj},
journal= {arXiv preprint arXiv:1101.2722},
year = {2015}
}