Magnetic Branes Supported by Nonlinear Electromagnetic Field

Abstract

Considering the nonlinear electromagnetic field coupled to Einstein gravity in the presence of cosmological constant, we obtain a new class of $d$-dimensional magnetic brane solutions. This class of solutions yields a spacetime with a longitudinal nonlinear magnetic field generated by a static source. These solutions have no curvature singularity and no horizons but have a conic geometry with a deficit angle $\delta \varphi$. We investigate the effects of nonlinearity on the metric function and deficit angle and also find that for the special range of the nonlinear parameter, the solutions are not asymptotic AdS. We generalize this class of solutions to the case of spinning magnetic solutions, and find that when one or more rotation parameters are nonzero, the brane has a net electric charge which is proportional to the magnitude of the rotation parameters. Then, we use the counterterm method and compute the conserved quantities of these spacetimes. Finally, we obtain a constrain on the nonlinear parameter, such that the nonlinear electromagnetic field is conformally invariant.

15 pages, one eps figure

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• Charged BTZ-like Black Holes in Higher Dimensions
• Tunneling of Massive Vector Particles from Types of BTZ-like Black Holes
• Magnetic branes in Gauss-Bonnet gravity with nonlinear electrodynamics: correction of magnetic branes in Einstein-Maxwell gravity
• Thermodynamics of charged rotating dilaton black branes with power-law Maxwell field
• Magnetic brane solutions of Lovelock gravity with nonlinear electrodynamics
• Alternative approach to the critical behavior and microscopic structure of the power-Maxwell black holes
• Lifshitz black brane thermodynamics in the presence of a nonlinear electromagnetic field
• Can the power Maxwell nonlinear electrodynamics theory remove the singularity of electric field of point-like charges at their locations?
• Surface Terms of Quartic Quasitopological Gravity and Thermodynamics of Nonlinear Charged Rotating Black Branes
• Nonstatic charged BTZ-like black holes in N+1 dimensions
• Wormhole solutions in the presence of nonlinear Maxwell field
• Quartic Quasi-Topological-Born-Infeld Gravity
• Dirty black hole supported by a uniform electric field in Einstein-Nonlinear Electrodynamics-Dilaton theory
• Solution for Static, Spherically Symmetric Lovelock Gravity Coupled with Yang-Mills Hierarchy
• Magnetic solutions in Einstein-massive gravity with linear and nonlinear fields
• Nonlinear Charged Black Holes in Anti-de Sitter Quasi-Topological Gravity
• Charged quantum Oppenheimer-Snyder model
• Magnetic Brane of Cubic Quasi-Topological Gravity in the Presence of Maxwell and Born-Infeld Electromagnetic Field
• Magnetic black hole in Einstein-Dilaton-Square root nonlinear electrodynamics
• Thermodynamics, Phase Transitions, and Geodesic Structure of F(R)-Phantom Banados-Teitelboim-Zanelli (BTZ) Black Holes