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arXiv · 1905.07229

Charged (A)dS black hole solutions in conformal teleparallel equivalent of general relativity

G. G. L. Nashed·Kazuharu Bamba
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Abstract

We continue our study in 4-dimension to derive non-charged and charged (Anti)-de Sitter black hole solutions in conformal teleparallel equivalent of general relativity. The non-charged and charged equations of motion are applied to a spherically symmetric tetrad and the non-linear differential equations are derived. It is shown that the output solutions of the two cases are identical to those obtained in teleparallel equivalent theory to general relativity. As a result, it is found that in the conformal teleparallel equivalent theory to general relativity, the scalar field cannot influence on the manifold of spherical symmetry, i.e. the scalar field must equal 1 in order to have a well known asymptote spacetime.

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G. G. L. Nashed, Kazuharu Bamba. 2019-05-14. Charged (A)dS black hole solutions in conformal teleparallel equivalent of general relativity. https://doi.org/10.1103/physrevd.101.044029

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