Quasi-Topological Magnetic Brane coupled to Nonlinear Electrodynamics

Abstract

In this paper, we are eager to construct a new class of (n+1)-dimensional static magnetic brane solutions in quasi-topological gravity coupled to nonlinear electrodynamics such as exponential and logarithmic forms. The solutions of this magnetic brane are horizonless and have no curvature. For ρnear r_{+}, the solution f(ρ) is dependent to the values of parameters q and n and for larger ρ, it depends on the coefficients of Love-Lock and quasi-topological gravities λ, μand c. The obtained solutions also have a conic singularity at r=0 with a deficit angle that is only dependent to the parameters q, n and β. We should remind that the two forms of nonlinear electrodynamics theory have similar behaviors on the obtained solutions. At last, by using the counterterm method, we obtain conserved quantities such as mass and electric charge. The value of the electric charge for this static magnetic brane is obtained zero.

13 pages, 7 figures

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Cited by in corpus (1)

• Thermodynamics of static solutions in (n+1)-dimensional Quintic Quasitopological gravity