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

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

2002-01-24

arxiv.org/abs/gr-qc/0201082v1

Phys.Rev. D65 (2002) 064010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.65.064010

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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