Higher order curvature generalizations of Bartnick–McKinnon and coloured black hole solutions in d=5

We construct globally regular as well as non-Abelian black hole solutions of a higher-order curvature Einstein–Yang–Mills (EYM) model in d=5 dimensions. This model consists of the superposition of the first two members of the gravitational hierarchy (Einstein plus first Gauss–Bonnet (GB)) interacting with the superposition of the first two members of the SO(d) Yang–Mills hierarchy.