Charged SU(N) Einstein-Yang-Mills black holes

Abstract We consider asymptotically flat static spherically symmetric black hole solutions in SU(N) Einstein-Yang-Mills theory. Embedding the N-dimensional representation of su(2) in su(N), the purely magnetic gauge field ansatz contains N−1 functions. When one or more of these gauge field functions are identically zero, magnetically charged EYM black hole solutions emerge, consisting of a neutral and a charged gauge field part, based on non-abelian subalgebras and the Cartan subalgebra of su(N), respectively. We classify these charged black hole solutions in general and present numerical solutions for SU(5) EYM theory.