Black hole solutions in f(R) gravity coupled with non-linear Yang-Mills field
Abstract
It is shown that in the static, spherically symmetric spacetime the problem of metric f(R) gravity coupled with non-linear Yang-Mills (YM) field constructed from the Wu-Yang ansatz as source, can be solved in all dimensions. By non-linearity it is meant that the YM Lagrangian depends arbitrarily on its invariant. A particular form is considered to be in the power-law form with limit of the standard YM theory. The formalism admits black hole solutions with single or double horizons in which f(R) can be obtained, in general numerically. In 6-dimensional case we obtain an exact solution given by f(R)=\surdR gravity that couples with the YM field in a consistent manner.
Keywords
Cite
@article{arxiv.1105.3659,
title = {Black hole solutions in f(R) gravity coupled with non-linear Yang-Mills field},
author = {S. Habib Mazharimousavi and M. Halilsoy},
journal= {arXiv preprint arXiv:1105.3659},
year = {2011}
}
Comments
12 pages, 8 figures, revised version with major changes including expanded references. Dedicated to the memory of Yavuz Nutku (1943-2010)