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

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.

5 pages, RevTeX. To be published in Phys. Rev. D

References in corpus (1)

• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields

Cited by in corpus (2)

• Rotating Dilaton Black Holes with Hair
• Generalizations and challenges for the spacetime block-diagonalization