Second Order Phase Transition and Thermodynamic Geometry in Kerr-AdS Black Hole

Details Second Order Phase Transition and Thermodynamic Geometry in Kerr-AdS Black Hole Second Order Phase Transition and Thermodynamic Geometry in Kerr-AdS Black Hole

2010-05-26

arxiv.org/abs/1005.4832v3

Phys.Rev.D84:064024,2011

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, v3: 12 pages, 3 figures; minor modifications to match the journal version; to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.84.064024

We discuss a scheme based on Ehrenfest like equations to exhibit and classify transitions between two phases (with "smaller" and "larger" masses) of Kerr AdS black holes. We show that for fixed angular velocity this phase transition is of second order as both Ehrenfest's equations are satisfied. Finally we make a close connection of the results found from this analysis with those obtained from the thermodynamic state space geometry approach.

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