Astrophysics and Space Science

, Volume 350, Issue 2, pp 791–797 | Cite as

Schwarzschild-NUT solution in modified teleparallel gravity theory

Original Article
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Abstract

Spherically symmetric tetrad field is applied to the field equation of modified teleparallel gravity theory. Some constraints are assumed on the resulting non-linear partial differential equations. Exact vacuum solution is derived with two constants of integration. The derived solution has a vanishing scalar torsion, i.e., T=T μ νλ S μ νλ =0 and its space-time is axially symmetric. It is shown that this solution can be rewritten as a product of three matrices, two local Lorentz transformations and one diagonal tetrad field. The local Lorentz transformations represent “so(3)” and a boost transformation and the diagonal tetrad reproduce the same metric field of the original tetrad.

Keywords

f(T) theory Spherically symmetric space-time Schwarzschild-NUT solution 
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Notes

Acknowledgements

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 Dordrecht 2014

Authors and Affiliations

  1. 1.Mathematics Department, Faculty of ScienceAin Shams UniversityCairoEgypt
  2. 2.Centre for Theoretical PhysicsThe British University in EgyptSherouk CityEgypt
  3. 3.Egyptian Relativity Group (ERG)GizaEgypt

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