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Paper   IPM / P / 6939
School of Physics
  Title:   Thermodynamics of Rotating Charged Black Strings and (A)ds/CFT Correspondence
  Author(s):  M.H. Dehghani
  Status:   Published
  Journal: Phys. Rev. D
  No.:  50
  Vol.:  66
  Year:  2002
  Pages:   044006
  Supported by:  IPM
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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