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arXiv · 1105.3659

Black hole solutions in f(R) gravity coupled with non-linear Yang-Mills field

S. Habib Mazharimousavi·M. Halilsoy
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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.

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S. Habib Mazharimousavi, M. Halilsoy. 2011-09-23. Black hole solutions in f(R) gravity coupled with non-linear Yang-Mills field. https://doi.org/10.1103/physrevd.84.064032

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