Unified geometric description of black hole thermodynamics

Details Unified geometric description of black hole thermodynamics Unified geometric description of black hole thermodynamics

2008-01-15

arxiv.org/abs/0801.2279v1

Phys.Rev.D77:084004,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1103/PhysRevD.77.084004

In the space of thermodynamic equilibrium states we introduce a Legendre invariant metric which contains all the information about the thermodynamics of black holes. The curvature of this thermodynamic metric becomes singular at those points where, according to the analysis of the heat capacities, phase transitions occur. This result is valid for the Kerr-Newman black hole and all its special cases and, therefore, provides a unified description of black hole phase transitions in terms of curvature singularities.

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