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

Understand

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.