Thermodynamic Geometry of the Born-Infeld-anti-de Sitter black holes

Abstract

Thermodynamic geometry is applied to the Born-Infeld-anti-de Sitter black hole (BIAdS) in the four dimensions, which is a nonlinear generalization of the Reissner-NorstrÄom-AdS black hole (RNAdS). We compute the Weinhold as well as the Ruppeiner scalar curvature and find that the singular points are not the same with the ones obtained using the heat capacity. Legendre-invariant metric proposed by Quevedo and the metric obtained by using the free energy as the thermodynamic potential are obtained and the corresponding scalar curvatures diverge at the Davies points.

Latex,19 pages,14 figures

References in corpus (8)

• Geometrothermodynamics
• Thermodynamic curvature and phase transitions in Kerr-Newman black holes
• Geometrothermodynamics of black holes
• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• Unified geometric description of black hole thermodynamics
• Phase transitions in geometrothermodynamics
• A Commentary on Ruppeiner Metrics for Black Holes
• Geometrothermodynamics of the Kehagias-Sfetsos Black Hole

Cited by in corpus (6)

• Thermodynamics of phantom black holes in Einstein-Maxwell-Dilaton theory
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• Einstein-Maxwell-Dilatonic phantom black holes: Thermodynamics and geometrothermodynamics
• Thermodynamics and weak cosmic censorship conjecture in Born-Infeld-anti-de Sitter black holes
• Geometrothermodynamic cosmology
• Geometric curvatures of plane symmetry black hole