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.

15 pages; 4 figures

References in corpus (1)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume

Cited by in corpus (8)

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• Phase transition of the higher dimensional charged Gauss-Bonnet black hole in de Sitter spacetime
• Noether Charge, Thermodynamics and Phase Transition of a Black Hole in the Schwarzschild-Anti-de Sitter-Beltrami spacetime