Geometric Description of the Thermodynamics of the Noncommutative Schwarzschild Black Hole. (26th May 2013)

• Record Type: Journal Article
• Authors: Larrañaga, Alexis; Herrera, Natalia; Garcia, Juliana
• Other Names: Cai Rong-Gen Academic Editor.
• Is Part Of: Advances in high energy physics. Volume 2013(2013)
• Publication Date: 2013-05-26
• Subjects: Particles (Nuclear physics) -- Periodicals; Particles (Nuclear physics); Periodicals; 539.76
• DOI: 10.1155/2013/641273
• Languages: English
• ISSNs: 1687-7357

Abstract

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.