Static Spherically Symmetric Solution of (R +- {\mu}^4/R) Gravity
General Relativity and Quantum Cosmology
2015-05-18 v1
Abstract
The static spherically symmetric solution for (R +- {\mu}^4/R) model of f(R)gravity is investigated. We obtain the metric for space-time in the solar system that reduces to the Schwarzschild metric, when {\mu} tends to zero. For the obtained metric, the deviation from Einstein gravity is very small. This result is different from the other results have been obtained by equivalence between f(R) gravity and scalar tensor theory. Also it is shown that the vacuum solution in the solar system depends on the shape of matter distribution which differ from the Einstein's gravity.
Keywords
Cite
@article{arxiv.1001.4149,
title = {Static Spherically Symmetric Solution of (R +- {\mu}^4/R) Gravity},
author = {Kh. Saaidi and A. Vaji and A. Aghamomammadi},
journal= {arXiv preprint arXiv:1001.4149},
year = {2015}
}