Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-08-03
Class.Quant.Grav. 17 (2000) 399-420
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, RevTeX, 12 ps figures. Minor changes, references added. Final version to appear in Class. Quantum Grav
Scientific paper
10.1088/0264-9381/17/2/310
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 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 field 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 preserve some supersymmetry. These BPS black holes correspond to highly degenerate zero temperature states in the dual CFT, which lives in an Einstein universe rotating with the speed of light.
Caldarelli Marco M.
Cognola Guido
Klemm Dietmar
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