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D-dimensional charged Anti-de-Sitter black holes in f (T) gravity

  • A.M. Awad
  • S. Capozziello
  • G.G.L. NashedEmail author
Open Access
Regular Article - Theoretical Physics

Abstract

We present a D-dimensional charged Anti-de-Sitter black hole solutions in f (T) gravity, where f (T) = T + βT 2 and D ≥ 4. These solutions are characterized by flat or cylindrical horizons. The interesting feature of these solutions is the existence of inseparable electric monopole and quadrupole terms in the potential which share related momenta, in contrast with most of the known charged black hole solutions in General Relativity and its extensions. Furthermore, these solutions have curvature singularities which are milder than those of the known charged black hole solutions in General Relativity and Teleparallel Gravity. This feature can be shown by calculating some invariants of curvature and torsion tensors. Furthermore, we calculate the total energy of these black holes using the energy-momentum tensor. Finally, we show that these charged black hole solutions violate the first law of thermodynamics in agreement with previous results.

Keywords

Black Holes Spacetime Singularities 

Notes

Open Access

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© The Author(s) 2017

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Center for Theoretical PhysicsBritish University of EgyptSherouk CityEgypt
  2. 2.Department of Physics, School of Sciences and EngineeringAmerican University in CairoCairoEgypt
  3. 3.Department of Mathematics, Faculty of ScienceAin Shams UniversityCairoEgypt
  4. 4.Dipartimento di Fisica “E. Pancini”Università di Napoli “Federico II”, Complesso Universitario di Monte Sant’AngeloNapoliItaly
  5. 5.Istituto Nazionale di Fisica Nucleare (INFN), Sezione di NapoliComplesso Universitario di Monte Sant’AngeloNapoliItaly
  6. 6.Gran Sasso Science InstituteL’AquilaItaly

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