Geometric Description of the Thermodynamics of the Noncommutative Schwarzschild Black Hole

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 o...

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Bibliographic Details
Main Authors: Alexis Larrañaga, Natalia Herrera, Juliana Garcia
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2013/641273
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Summary: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.
ISSN:1687-7357
1687-7365