A Commentary on Ruppeiner Metrics for Black Holes

Details A Commentary on Ruppeiner Metrics for Black Holes A Commentary on Ruppeiner Metrics for Black Holes

2008-01-23

arxiv.org/abs/0801.3497v2

Mod.Phys.Lett.A23:2149-2161,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages; v2, typos corrected and a few references added

Scientific paper

10.1142/S0217732308027333

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.

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