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Thermodynamics of Rotating Charged Black Strings and (A)dS/CFT Correspondence
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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.
Forward citations
Cited by 2 Pith papers
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Novel thermodynamic inequality for rotating AdS black holes
A new thermodynamic inequality 4πJ²/(3MV) < 1 is derived for rotating AdS black holes to prevent naked singularities and uphold cosmic censorship.
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Thermodynamics of charged rotating black strings in extended phase space
Charged rotating AdS black strings show a specific-heat divergence that is interpreted as a second-order, Van der Waals-like critical point, while uncharged strings show no such criticality.
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