A Commentary on Ruppeiner Metrics for Black Holes
General Relativity and Quantum Cosmology
2008-12-18 v2
Abstract
There has been some recent controversy regarding the Ruppeiner metrics that are induced by Reissner-Nordstrom (and Reissner-Nordstrom-like) black holes. Most infamously, why does this family of metrics turn out to be flat, how is this outcome to be physically understood, and can/should the formalism be suitably modified to induce curvature? In the current paper, we provide a novel interpretation of this debate. For the sake of maximal analytic clarity and tractability, some supporting calculations are carried out for the relatively simple model of a rotating BTZ black hole.
Cite
@article{arxiv.0801.3497,
title = {A Commentary on Ruppeiner Metrics for Black Holes},
author = {A. J. M. Medved},
journal= {arXiv preprint arXiv:0801.3497},
year = {2008}
}
Comments
15 pages; v2, typos corrected and a few references added