Magnetic black holes in Weitzenböck geometry

Abstract

We derive magnetic black hole solutions using a general gauge potential in the framework of teleparallel equivalent general relativity. One of the solutions gives a non-trivial value of the scalar torsion. This non-triviality of the torsion scalar depends on some values of the magnetic field. The metric of those solutions behave asymptotically as Anti-de-Sitter/ de-Sitter (AdS/dS) spacetimes. The energy conditions are discussed in details. Also, we calculate the torsion and curvature invariants to discuss singularities. Additionally, we calculate the conserved quantities using the Einstein-Cartan geometry to understand the physics of the constants appearing into the solutions.

arXiv comment14 pages, 3 figures, to appear in General Relativity and Gravitation

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• Comment on "Reissner-Nordström Black Holes in the Inverse Electrodynamics Model, [arXiv:1407.4383]"