Existence theorems for hairy black holes in \(\mathfrak{su}(N)\) Einstein-Yang-Mills theories. (English) Zbl 0929.53056
We establish the existence of hairy black holes in \({\mathfrak {su}}(N)\) Einstein-Yang-Mills theories, described by \(N-1\) parameters, corresponding to the nodes of the gauge field functions. The method used to prove the main theorem of this paper is remarkably simple, drawing only on elementary topological ideas.
MSC:
53Z05 | Applications of differential geometry to physics |
83C57 | Black holes |
81T20 | Quantum field theory on curved space or space-time backgrounds |
83C75 | Space-time singularities, cosmic censorship, etc. |
81T13 | Yang-Mills and other gauge theories in quantum field theory |
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