Geometrothermodynamics of a Charged Black Hole of String Theory

TL;DR

This paper applies geometrothermodynamics to analyze the thermodynamic properties of a string theory charged black hole, revealing that thermodynamic curvature does not necessarily indicate phase transitions, even at naked singularities.

Contribution

It demonstrates that thermodynamic curvature can remain finite at naked singularities, challenging the conventional link between curvature divergence and phase transitions.

Findings

Thermodynamic curvature remains finite at naked singularities.

The formalism of geometrothermodynamics is effective for black hole thermodynamics.

Contradicts the idea that curvature divergence signals phase transitions.

Abstract

The thermodynamics of the Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) charged black hole from string theory is reformulated within the context of the recently developed formalism of geometrothermodynamics. The geometry of the space of equilibrium states is curved, but we show that the thermodynamic curvature does not diverge when the black hole solution becomes a naked singularity. This provides a counterexample to the conventional notion that a thermodynamical curvature divergence signals the occurrence of a phase transition.