A Type of Levi-Civita's Solution in Modified Gauss-Bonnet Gravity
General Relativity and Quantum Cosmology
2014-02-18 v2 High Energy Physics - Theory
Abstract
In this letter we obtain an exact solution for cylindrically symmetric modified Gauss Bonnet gravity. This metric is a generalization of the vacuum solution of the Levi-Civita in the general relativity. It describes an isotropic perfect fluid one parameter family of the gravitational configurations which can be interpreted as the exterior metric of a cosmic string. By setting the Gauss-Bonnet coupling parameter to zero, we recover the vacuum solution in the Einstein gravity as well.
Keywords
Cite
@article{arxiv.1212.4488,
title = {A Type of Levi-Civita's Solution in Modified Gauss-Bonnet Gravity},
author = {M. E. Rodrigues and M. J. S. Houndjo and D. Momeni and R. Myrzakulov},
journal= {arXiv preprint arXiv:1212.4488},
year = {2014}
}
Comments
5 pages, revtex4 format, Accepted for publication in CJP