https://doi.org/10.1140/epjc/s10052-013-2394-x
Regular Article - Theoretical Physics
Local Lorentz transformation and exact spherically symmetric vacuum solutions in f(T) gravity theories
1
Centre for Theoretical Physics, The British University in Egypt, P.O. Box 43, Sherouk City, 11837, Egypt
2
Mathematics Department, Faculty of Science, Ain Shams University, Cairo, 11566, Egypt
* e-mail: nashed@bue.edu.eg
Received:
18
December
2012
Revised:
21
March
2013
Published online:
12
April
2013
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.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013