Non-Abelian Black Holes in Higher Derivative Gravity

The static spherically symmetric black hole solutions in R+αR² gravity coupled to a massive Yang-Mills field, namely, a Proca field are studied. Through the numerical integrations, it is shown that for positive α, there exist two distinct classes of solutions which have the horizon. One class approaches the Schwarzschild solution and the other may be interpreted as black holes with the new hair due to the αR² term.