Slowly Rotating Non-Abelian Black Holes

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