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General Relativity and Gravitation

, Volume 45, Issue 10, pp 1887–1899 | Cite as

A special exact spherically symmetric solution in f(T) gravity theories

  • Gamal G. L. Nashed
Research Article

Abstract

A non-diagonal spherically symmetric tetrad field, involving four unknown functions of radial coordinate \(r\), is applied to the equations of motion of f(T) gravity theory. A special exact vacuum solution with one constant of integration is obtained. The scalar torsion related to this special solution vanishes. To understand the physical meaning of the constant of integration we calculate the energy associated with this solution and show how it is related to the gravitational mass of the system.

Keywords

f(T) Theory of gravity Exact spherically symmetric solution Translational momentum 2-form Energy 

Notes

Acknowledgments

This work is partially supported by the Egyptian Ministry of Scientific Research under project ID 24-2-12.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Centre for Theoretical PhysicsThe British University in EgyptNew CairoEgypt
  2. 2.Egypt Egyptian Relativity Group (ERG), Mathematics Department, Faculty of ScienceAin Shams UniversityCairoEgypt
  3. 3.Basic Science Department, Faculty of EngineeringThe British University in EgyptSheroukEgypt

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