Comment on "Geometrothermodynamics of a Charged Black Hole of String Theory"

TL;DR

This paper discusses how choosing the correct metric and considering the homogeneity of the thermodynamic potential ensures consistent geometrothermodynamics descriptions of charged black holes in string theory.

Contribution

It clarifies the importance of metric choice and potential homogeneity in geometrothermodynamics, resolving previous inconsistencies for charged black holes.

Findings

Proper metric selection yields consistent thermodynamic geometry results.

Homogeneity of the thermodynamic potential is crucial for accurate analysis.

Revised approach aligns with expected thermodynamic behavior.

Abstract

We comment on the conclusions found by Larra\~naga and Mojica regarding the consistency of the Geoemtrothermodynamics programme to describe the critical behaviour of a Gibbons-Maeda-Garfinkle-Horowitz-Strominger charged black hole. We argue that making the appropriate choice of metric for the thermodynamic phase space and, most importantly, considering the homogeneity of the thermodynamic potential we obtain consistent results for such a black hole.