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Advances in High Energy Physics
Volume 2013, Article ID 641273, 6 pages
http://dx.doi.org/10.1155/2013/641273
Research Article

Geometric Description of the Thermodynamics of the Noncommutative Schwarzschild Black Hole

1National Astronomical Observatory, National University of Colombia, Bogotá 11001000, Colombia
2Department of Physics, National University of Colombia, Bogotá 11001000, Colombia

Received 13 March 2013; Accepted 8 May 2013

Academic Editor: Rong-Gen Cai

Copyright © 2013 Alexis Larrañaga et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The thermodynamics of the noncommutative Schwarzschild black hole is reformulated within the context of the recently developed formalism of geometrothermodynamics (GTD). Using a thermodynamic metric which is invariant with respect to Legendre transformations, we determine the geometry of the space of equilibrium states and show that phase transitions, which correspond to divergencies of the heat capacity, are represented geometrically as singularities of the curvature scalar. This further indicates that the curvature of the thermodynamic metric is a measure of thermodynamic interaction.