期刊
CLASSICAL AND QUANTUM GRAVITY
卷 17, 期 2, 页码 399-420出版社
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/17/2/310
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We study the thermodynamics of four-dimensional Kerr-Newman-AdS black holes both in the canonical and the grand-canonical ensemble. The stability conditions are investigated, and the complete phase diagrams are obtained, which include the Hawking-Page phase transition in the grand-canonical ensemble. In the canonical case, one has a first-order transition between small and large black holes, which disappears for a sufficiently large electric charge or angular momentum. This disappearance corresponds to a critical point in the phase diagram. Via the AdS/CFT conjecture, the obtained phase structure is also relevant for the corresponding conformal held theory living in a rotating Einstein universe, in the presence of a global background U(1) current. An interesting limit arises when the black holes presence some supersymmetry. These BPS black holes correspond to highly degenerate zero-temperature stares in the dual CFT, which lives in an Einstein universe rotating with the speed of light.
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