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New regular solutions with axial symmetry in Einstein-Yang-Mills theory. (English) Zbl 1247.83022

Summary: We construct new regular solutions in Einstein-Yang-Mills theory. They are static, axially symmetric and asymptotically flat. They are characterized by a pair of integers \((k,n)\), where \(k\) is related to the polar angle and \(n\) to the azimuthal angle. The known spherically and axially symmetric EYM solutions have \(k=1\). For \(k>1\) new solutions arise, which form two branches. They exist above a minimal value of \(n\), that increases with \(k\). The solutions on the lower mass branch are related to certain solutions of Einstein-Yang-Mills-Higgs theory, where the nodes of the Higgs field form rings.

MSC:

83C15 Exact solutions to problems in general relativity and gravitational theory
81T13 Yang-Mills and other gauge theories in quantum field theory

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References:

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