SLOWLY ROTATING NON-ABELIAN BLACK-HOLES

It is shown that the well-known non-Abelian static SU(2) black hole so lutions have rotating generalizations, provided that the hypothesis of linearization stability is accepted. Surprisingly, this rotating bran ch has an asymptotically Abelian gauge field with an electric charge t hat is proportional to the angular momentum, although the nonrotating limit is uncharged. We argue that this may be related to our second fi nding, namely that there are no globally regular slowly rotating excit ations of the particlelike Bartnik-McKinnon solutions.