Abstract
There has been some recent controversy regarding the Ruppeiner metrics that are induced by Reissner–Nordström (and Reissner–Nordström-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 this 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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