Charge rotating black string in gravitating nonlinear electromagnetic fields

Abstract

We construct a new class of charged rotating black string solutions coupled to a nonlinear electromagnetic field in the background of anti-de Sitter spaces. We consider two types of nonlinear electromagnetic field namely, logarithmic and exponential forms. We investigate the geometric effects of nonlinearity parameter and find that for large $r$, these solutions recover the rotating back string solutions of Einstein-Maxwell theory. We calculate the conserved and thermodynamic quantities of the rotating black string. We also analyze thermodynamics of the spacetime and verify the validity of the first law of thermodynamics for the obtained solutions.

11 pages, 3 eps figures

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Cited by in corpus (5)

• Dilaton black holes coupled to nonlinear electrodynamic field
• Higher dimensional dilaton black holes in the presence of exponential nonlinear electrodynamics
• Thermodynamic instability of topological black holes with nonlinear source
• Thermodynamic instability of topological black holes in Gauss-Bonnet gravity with a generalized electrodynamics
• Wormhole solutions in the presence of nonlinear Maxwell field