Thermodynamics of rotating solutions in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>-dimensional Einstein-Maxwell-dilaton gravity

We construct two new classes of spacetimes generated by spinning and traveling magnetic sources in (n+1)-dimensional Einstein-Maxwell-dilaton gravity with Liouville-type potential.These solutions are neither asymptotically flat nor (A)dS. The first class of solutions which yields a (n + 1)-dimensional spacetime with a longitudinal magnetic field and k rotation parameters have no curvature singularity and no horizons, but have a conic geometry. We show that when one or more of the rotation parameters are nonzero, the spinning branes has a net electric charge that is proportional to the magnitude of the rotation parameters.The second class of solutions yields a static spacetime with an angular magnetic field, and have no curvature singularity, no horizons, and no conical singularity. Although one may add linear momentum to the second class of solutions by a boost transformation, one does not obtain a new solution. We find that the net electric charge of these traveling branes with one or more nonzero boost parameters is proportional to the magnitude of the velocity of the branes. We also use the counterterm method and calculate the conserved quantities of the solutions.

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“…Substituting Φ(ρ) given by Eq. (19) in the field equations (14)- (17) one finds the function f (ρ) as…”

Section: A Longitudinal Magnetic Field Solutionsmentioning

confidence: 99%

Magnetic branes in (n+1)-dimensional Einstein-Maxwell-dilaton gravity

2007

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“…Black hole spacetimes which are neither asymptotically flat nor (A)dS have been explored widely in the literature (see e.g. [22,23,24,25,26,27,28,29,30]). …”

Section: Introductionmentioning

confidence: 99%

Thermodynamical Properties of Topological Born–infeld-Dilaton Black Holes

Sheykhi

2009

Int. J. Mod. Phys. D

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We examine the (n+1)-dimensional (n ≥ 3) action in which gravity is coupled to the BornInfeld nonlinear electrodynamic and a dilaton field. We construct a new (n + 1)-dimensional analytic solution of this theory in the presence of Liouville-type dilaton potentials. These solutions which describe charged topological dilaton black holes with nonlinear electrodynamics, have unusual asymptotics. They are neither asymptotically flat nor (anti)-de Sitter.The event horizons of these black holes can be an (n − 1)-dimensional positive, zero or negative constant curvature hypersurface. We also analyze thermodynamics and stability of these solutions and disclose the effect of the dilaton and Born-Infeld fields on the thermal stability in the canonical ensemble.

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“…Indeed, it has been speculated that the linear dilaton spacetimes, which arise as near-horizon limits of dilatonic black holes, might exhibit holography [13]. Black hole spacetimes which are neither asymptotically flat nor (A)dS have been explored widely in the literature [14,15,16,17,18,19,20,21,22,23,24,25]. In the absence of dilaton field, exact solutions of Einstein-Born-Infeld theory with/without cosmological constant have been constructed in [26,27,28,29,30,31,32,33].…”

Section: Introductionmentioning

confidence: 99%

Topological Born–Infeld-dilaton black holes

Sheykhi¹

2008

Physics Letters B

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We construct a new analytic solution of Einstein-Born-Infeld-dilaton theory in the presence of Liouville-type potentials for the dilaton field. These solutions describe dilaton black holes with nontrivial topology and nonlinear electrodynamics. Black hole horizons and cosmological horizons in these spacetimes, can be a two-dimensional positive, zero or negative constant curvature surface. The asymptotic behavior of these solutions are neither flat nor (A)dS. We calculate the conserved and thermodynamic quantities of these solutions and verify that these quantities satisfy the first law of black hole thermodynamics.

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Thermodynamics of rotating solutions in(n+1)-dimensional Einstein-Maxwell-dilaton gravity

Cited by 65 publications

References 59 publications

Magnetic branes in (n+1)-dimensional Einstein-Maxwell-dilaton gravity

Magnetic branes in (n+1)-dimensional Einstein-Maxwell-dilaton gravity

Thermodynamical Properties of Topological Born–infeld-Dilaton Black Holes

Topological Born–Infeld-dilaton black holes

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