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(1+4)-dimensional spherically symmetric black holes in f(T)

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Abstract

New non-vacuum spherically symmetric solutions in (1+4)-dimensional space-time are derived using the field equations of f(T) theory, where T is the torsion scalar defined as \(T\mathop = \limits^{def} {T^\mu }_{\nu \rho }S_\mu ^{\nu \rho }\) . The energy density, radial and transversal pressures in these solutions are shown to satisfy the energy conditions. Other interesting solutions are obtained under the constraint of vanishing radial pressure for different choices of f(T). Impositions are provided to reproduce the (1+4)-dimensional AdS-Schwarzschild solution. In the quadratic case, i.e., f(T) ∝ T 2, other impositions are derived and have shown to satisfy the non-diagonal components of the field equations of f(T) theory. The physics relevant to the resulting models is discussed.

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Authors and Affiliations

  1. Centre for Theoretical Physics, The British University in Egypt, Sherouk City, 11837, P.O. Box 43, Egypt

    G. G. L. Nashed

  2. Mathematics Department, Faculty of Science, Ain Shams University, Cairo, 11566, Egypt

    G. G. L. Nashed

  3. Egyptian Relativity Group (ERG), Cairo, Egypt

    G. G. L. Nashed

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  1. G. G. L. Nashed
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Correspondence to G. G. L. Nashed.

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Nashed, G.G.L. (1+4)-dimensional spherically symmetric black holes in f(T). Gravit. Cosmol. 23, 63–69 (2017). https://doi.org/10.1134/S0202289317010121

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  • DOI: https://doi.org/10.1134/S0202289317010121

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