Rotating Black Branes in the presence of nonlinear electromagnetic field

Abstract

In this paper, we consider a class of gravity whose action represents itself as a sum of the usual Einstein-Hilbert action with cosmological constant and an $U(1)$ gauge field for which the action is given by a power of the Maxwell invariant. We present a class of the rotating black branes with Ricci flat horizon and show that the presented solutions may be interpreted as black brane solutions with two event horizons, extreme black hole and naked singularity provided the parameters of the solutions are chosen suitably. We investigate the properties of the solutions and find that for the special values of the nonlinear parameter, the solutions are not asymptotically anti-deSitter. At last, we obtain the conserved quantities of the rotating black branes and find that the nonlinear source effects on the electric field, the behavior of spacetime, type of singularity and other quantities.

arXiv comment7 pages, 5 figures, to appear in EPJC

References in corpus (58)

• Large N Field Theories, String Theory and Gravity
• String Theory and Noncommutative Geometry
• A Stress Tensor for Anti-de Sitter Gravity
• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• Rotation and the AdS/CFT correspondence
• New Regular Black Hole Solution from Nonlinear Electrodynamics
• Cylindrical Black Hole in General Relativity
• Generalised Israel Junction Conditions for a Gauss-Bonnet Brane World
• Non-Singular Charged Black Hole Solution for Non-Linear Source
• Rotating Charged Black Strings in General Relativity
• Misner String Entropy
• Born-Infeld Black Holes in (A)dS Spaces
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Non-linear electrodynamics and the acceleration of the universe
• Four Parametric Regular Black Hole Solution
• Lovelock black holes with a nonlinear Maxwell field
• Gravitational Entropy and Global Structure
• Born-Infeld Quantum Condensate as Dark Energy in the Universe
• Exact Solutions of Lovelock-Born-Infeld Black Holes
• Nonsingular FRW cosmology and nonlinear electrodynamics
• Supersymmetric Rotating Black Holes and Causality Violation
• Entropy of Rotating Misner String Spacetimes
• Born-Infeld black hole in the isolated horizon framework
• The Action of Instantons with Nut Charge
• Cosmological Effects of Nonlinear Electrodynamics
• Topological Black Holes in Lovelock-Born-Infeld Gravity
• A new time-machine model with compact vacuum core
• Baryons and Flux Tubes in Confining Gauge Theories from Brane Actions
• Thermodynamics of rotating black branes in $(n+1)$-dimensional Einstein-Born-Infeld-dilaton gravity
• Lovelock black holes with a power-Yang-Mills source
• Topological Black Holes in Gauss-Bonnet Gravity with conformally invariant Maxwell source
• Born-Infeld-Einstein theory with matter
• Thermodynamics of Rotating Black Branes in Gauss-Bonnet-Born-Infeld Gravity
• Formation of closed timelike curves in a composite vacuum/dust asymptotically-flat spacetime
• Non-Abelian Born--Infeld cosmology
• Best Approximation to a Reversible Process in Black-Hole Physics and the Area Spectrum of Spherical Black Holes
• Shear Viscosity from AdS Born-Infeld Black Holes
• Wormhole Solutions in Gauss-Bonnet-Born-Infeld Gravity
• Born-Infeld Cosmologies
• Ricci flat rotating black branes with a conformally invariant Maxwell source
• Homogeneous and isotropic cosmologies with nonlinear electromagnetic radiation
• Rotating Black Branes in Brans-Dicke-Born-Infeld Theory
• Einstein-Born-Infeld-dilaton black holes in non-asymptotically flat spacetimes
• Rotating Black Branes in the presence of nonlinear electromagnetic field
• Thermodynamics of rotating black branes in $(n+1)$-dimensional Einstein-Born-Infeld gravity
• Magnetic Strings in Einstein-Born-Infeld-Dilaton Gravity
• Anisotropic Born-Infeld Cosmologies
• Singularity-free Bianchi spaces with nonlinear electrodynamics
• Nonlinear electrodynamics in Bianchi spacetimes
• New non-Abelian black hole solutions in Born-Infeld gravity
• Over-Rotating Black Holes, Godel Holography and the Hypertube
• Magnetic Branes in Third Order Lovelock-Born-Infeld Gravity
• Measurement of the pn -> dK^+K^- total cross section close to threshold
• Chaos-order transition in Bianchi I non-Abelian Born-Infeld cosmology
• Einstein-Born-Infeld on Taub-NUT Spacetime in 2k+2 Dimensions
• Topology and Closed Timelike Curves II: Causal structure

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