Spherically symmetric charged black hole in conformal teleparallel equivalent of general relativity
arXiv:1805.12593 · doi:10.1088/1475-7516/2018/09/020
Abstract
We study 4-dimensional non-charged and charged spherically symmetric spacetimes in conformal teleparallel equivalent of general relativity. We apply the gravitational field equations in non-charged and charged spacetimes to the diagonal and non-diagonal vierbeins and derive their sets of the non-linear differential equations. It is demonstrated that the Schwarzschild, for the non-charged case, and the Reissner-Nordström, for the charged case, are the only black hole solutions for the spherically symmetric case in the framework of the conformal teleparallel equivalent of general relativity theory. As a result, it is found that in the conformal teleparallel equivalent of general relativity theory, the scalar field cannot have any effect for the spherically symmetric manifold.
11 pages, no figure, version accepted for publication in JCAP
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