Rotating Solitons and Nonrotating, Nonstatic Black Holes

It is shown that the non-Abelian black hole solutions have stationary generalizations which are parametrized by their angular momentum and electric Yang-Mills charge. In particular, there exists a nonstatic class of stationary black holes with vanishing angular momentum. It is also argued that the particlelike Bartnik-McKinnon solutions admit slowly rotating, globally regular excitations. In agreement with the non-Abelian version of the staticity theorem, these nonstatic soliton excitations carry electric charge, although their nonrotating limit is neutral.