Stationary axisymmetric SU(2) Einstein-Yang-Mills fields with restricted circularity conditions are Abelian

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Amer Physical Soc
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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.
© 2002 The American Physical Society. The present work has been supported in part by DGICYT Project PB98-0772; F.N.L. is supported by Ministerio de Educación (Spain). The authors wish to thank L. Fernández Jambrina, L. M. González-Romero, and M. J. Pareja for discussions.
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