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Geometric Thermodynamics of Kerr-AdS Black Hole with the Cosmological Constant as a State Variable

Alexis Larrañaga and Sindi Mojica

Abstract

The thermodynamics of the Kerr-AdS black hole is reformulated within the context of the formalism of geometrothermodynamics (GTD) and the cosmological constant is considered as a thermodynamical parameter. We conclude that the mass of the black hole corresponds to the total enthalpy of this system. Choosing appropriately the metric in the manifold of equilibrium states, we study the phase transitions as a divergence of the thermodynamical curvature scalar. This approach reproduces the Hawking-Page transition and shows that considering the cosmological constant as a thermodynamical parameter does not contribute new phase transitions to the pre-existing picture.

Ref:  The Abraham Zelmanov Journal, 2012, volume 5, pages 68-77

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The Abraham Zelmanov Journal is an annually issue scientific journal registered with the Royal National Library of Sweden.

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