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.

18 pages, invited talk given at the Eleventh Marcel Grossmann Meeting (Berlin, July 23 - 29, 2006), submitted to the Conference Proceedings

References in corpus (5)

• Einstein-Yang-Mills solutions in higher dimensional de Sitter spacetime
• Nonabelian solutions in AdS_4 and d=11 supergravity
• Kaluza-Klein black holes with squashed horizons and $d=4$ superposed monopoles
• Features of gravity-Yang-Mills hierarchies in d-dimensions
• Localising gravity in composite monopole brane worlds without bulk cosmological constant

Cited by in corpus (1)

• d=4+1 gravitating nonabelian solutions with bi-azimuthal symmetry