Vacuum energy and the latent heat of AdS-Kerr black holes

Abstract

Phase transitions for rotating asymptotically anti-de Sitter black holes in four dimensions are described in the $P-T$ plane, in terms of the Hawking temperature and the pressure provided by the cosmological constant. The difference between constant angular momentum and constant angular velocity is highlighted, the former has a second order phase transition while the latter does not. If the angular momentum is fixed there a line of first order phase transitions terminating at a critical point with a second order phase transition and vanishing latent heat, while if the angular velocity is fixed there is a line of first order phase transitions terminating at a critical point with infinite latent heat. For constant angular velocity the analytic form of the phase boundary is determined, latent heats derived and the Clapeyron equation verified.

arXiv comment15 pages; 4 figures

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• On Thermodynamics of AdS Black Holes in M-Theory
• Solid/Liquid Phase Transition and Heat Engine in Asymptotically Flat Schwarzschild Black Hole via the Rényi Extended Phase Space Approach
• Validity of Maxwell Equal Area Law for Black Holes Conformally Coupled to Scalar Fields in ${\text{AdS}}_5$ Spacetime
• Phase transition and entropy inequality of noncommutative black holes in a new extended phase space
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• On Heat Properties of AdS Black Holes in Higher Dimensions
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• The Thermodynamic Properties of Warped Taub-NUT AdS Black String
• Noether Charge, Thermodynamics and Phase Transition of a Black Hole in the Schwarzschild-Anti-de Sitter-Beltrami spacetime