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arXiv · 1805.12593

Spherically symmetric charged black hole in conformal teleparallel equivalent of general relativity

G. G. L. Nashed·Kazuharu Bamba
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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.

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G. G. L. Nashed, Kazuharu Bamba. 2018-08-31. Spherically symmetric charged black hole in conformal teleparallel equivalent of general relativity. https://doi.org/10.1088/1475-7516%2F2018%2F09%2F020

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