### 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.

Original language | English |
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Article number | 084002 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 90 |

Issue number | 8 |

DOIs | |

Publication status | Published - 2014 |

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## Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*90*(8), [084002]. https://doi.org/10.1103/PhysRevD.90.084002