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Local Lorentz transformation and exact spherically symmetric vacuum solutions in f(T) gravity theories

  • Gamal G. L. NashedEmail author
Regular Article - Theoretical Physics

Abstract

In this paper a non-diagonal, spherically symmetric, tetrad field that contains an arbitrary function, S(r), which corresponds to a local Lorentz transformation, is applied to the field equations of f(T) gravity theories. Analytic vacuum solutions with integration constants are derived. These constants are studied by calculating the total conserved charge associated with each solution. The study shows that the obtained solutions represent the Schwarzschild–Ads spacetime.

Keywords

Field Equation Cosmological Constant Gravity Theory Weyl Tensor Energy Momentum Tensor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2013

Authors and Affiliations

  1. 1.Centre for Theoretical PhysicsThe British University in EgyptSherouk CityEgypt
  2. 2.Mathematics Department, Faculty of ScienceAin Shams UniversityCairoEgypt

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