Stationary axisymmetric SU(2) Einstein-Yang-Mills fields with restricted circularity conditions are Abelian
F. J. Chinea, F. Navarro-Lerida
Abstract
In this paper we prove that in a stationary axisymmetric SU(2) Einstein-Yang-Mills theory the most reasonable circularity conditions that can be considered for the Yang-Mills fields imply in fact that the field is of embedded Abelian type, or else that the metric is not asymptotically flat.
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