Cylindrical Solutions in Modified f(T) Gravity
General Physics
2013-01-15 v2 General Relativity and Quantum Cosmology
Abstract
We investigate static cylindrically symmetric vacuum solutions in Weyl coordinates in the framework of f(T) theories of gravity, where T is the torsion scalar. The set of modified Einstein equations is presented and the fourth coming equations are established. Specific physical expressions are assumed for the algebraic function f(T) and solutions are obtained. Moreover, general solution is obtained with finite values of u(r) on the axis r = 0, and this leads to a constant torsion scalar. Also, cosmological constant is introduced and its relation to Linet-Tian solution in GR is commented.
Keywords
Cite
@article{arxiv.1206.3938,
title = {Cylindrical Solutions in Modified f(T) Gravity},
author = {M. J. S. Houndjo and D. Momeni and R. Myrzakulov},
journal= {arXiv preprint arXiv:1206.3938},
year = {2013}
}
Comments
13 pages; Accepted for publication in International Journal of Modern Physics D (IJMPD)