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

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

2011-04-04

arxiv.org/abs/1104.0546v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex,19 pages,14 figures

Scientific paper

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-Norstr\"Aom-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.

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