Black hole solutions in fðRÞ gravity coupled with nonlinear Yang-Mills field

  • S. Habib Mazharimousavi, M. Halilsoy
  • Published 2011

Abstract

S. Habib Mazharimousavi* and M. Halilsoy Department of Physics, Eastern Mediterranean University, G. Magusa, north Cyprus, via Mersin 10, Turkey (Received 24 May 2011; revised manuscript received 22 June 2011; published 21 September 2011) It is shown that in the static, spherically symmetric spacetime, the problem of metric fðRÞ gravity coupled with nonlinear Yang-Mills (YM) field constructed from the Wu-Yang ansatz as source can be solved in all dimensions. By nonlinearity 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 fðRÞ can be obtained, in general numerically. In 6-dimensional case we obtain an exact solution given by fðRÞ 1⁄4 ffiffiffiffi R p

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Cite this paper

@inproceedings{Mazharimousavi2011BlackHS, title={Black hole solutions in fðRÞ gravity coupled with nonlinear Yang-Mills field}, author={S. Habib Mazharimousavi and M. Halilsoy}, year={2011} }