Thermodynamics of Rotating Charged Black Strings and (A)dS/CFT Correspondence

Details Thermodynamics of Rotating Charged Black Strings and (A)dS/CFT Correspondence Thermodynamics of Rotating Charged Black Strings and (A)dS/CFT Correspondence

2002-05-14

arxiv.org/abs/hep-th/0205129v2

Phys.Rev. D66 (2002) 044006

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 2 figures, REVTeX 4, The final version to be published in PRD

Scientific paper

10.1103/PhysRevD.66.044006

We use the anti-de Sitter (AdS) conformal field theory correspondence to calculate the conserved charges and the Euclidean actions of the charged rotating black string in four dimensions both in the canonical and the grand-canonical ensemble. The four-dimensional solution of the Einstein-Maxwell equations with a positive cosmological constant is introduced, and its conserved quantities and actions for fixed charge and fixed electric potential are calculated. We also study the thermodynamics of the asymptotically AdS black strings and perform a stability analysis both in the canonical and the grand-canonical ensembles. We find that the asymptotically AdS black string in the canonical ensemble is locally stable, while in the grand-canonical ensemble it is stable only for a part of the phase space.

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