Geometrothermodynamics of a Charged Black Hole of String Theory

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.

10 pages

References in corpus (5)

• Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
• Geometrothermodynamics
• Thermodynamic curvature and phase transitions in Kerr-Newman black holes
• Geometrothermodynamics of black holes
• Geometric description of BTZ black holes thermodynamics

Cited by in corpus (5)

• Thermodynamics of phantom black holes in Einstein-Maxwell-Dilaton theory
• Thermodynamics of phantom Reissner-Nordstrom-AdS black hole
• Information Geometry on the Space of Equilibrium States of Black Holes in Higher Derivative Theories
• Proof of the weak cosmic censorship conjecture for several extremal black holes
• Comment on "Geometrothermodynamics of a Charged Black Hole of String Theory"