New Regular Solutions with Axial Symmetry in Einstein-Yang-Mills Theory

Details New Regular Solutions with Axial Symmetry in Einstein-Yang-Mills Theory New Regular Solutions with Axial Symmetry in Einstein-Yang-Mills Theory

2004-10-19

arxiv.org/abs/gr-qc/0410091v1

Phys.Lett. B609 (2005) 150-156

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 7 figures

Scientific paper

10.1016/j.physletb.2005.01.038

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.

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