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Rotating solitons and non-rotating, non-static black holes

O. Brodbeck, M. Heusler, N. Straumann, M. Volkov

gr-qcarXiv:gr-qc/9707057

Abstract

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

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