Gravitating non-Abelian solitons and hairy black holes in higher dimensions
Abstract
This is a short review of classical solutions with gravitating Yang-Mills fields in D>4 spacetime dimensions. The simplest SO(4) symmetric particlelike and SO(3) symmetric vortex type solutions in the Einstein-Yang-Mills theory in D=5 are considered, and their various generalizations with or without an event horizon, for other symmetries, in more general theories, and also in D>5 are described. In addition, supersymmetric solutions with gravitating Yang-Mills fields in string theory are discussed.
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