Einstein-Yang-Mills solitons: towards new degrees of freedom

Details Einstein-Yang-Mills solitons: towards new degrees of freedom Einstein-Yang-Mills solitons: towards new degrees of freedom

1998-08-03

arxiv.org/abs/gr-qc/9808002v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Extended version of a talk given at the International Workshop "Mathematical Cosmology", Potsdam, March 30 - April 4, 1998, La

Scientific paper

A recent progress in obtaining non-spherical and non-static solitons in the four-dimensional Einstein--Yang--Mills (EYM) theory is discussed, and a non-perturbative formulation of the stationary axisymmetric problem is attempted. First a 2D dilaton gravity model is derived for the spherically symmetric time-dependent configurations. Then a similar Euclidean representation is constructed for the stationary axisymmetric non-circular SU(2) EYM system using the (2+1)+1 reduction scheme suggested by Maeda, Sasaki, Nakamura and Miyama. The crucial role in this reduction is played by the extra terms entering the reduced Yang--Mills and Kaluza--Klein two-forms similarly to Chern--Simons terms in the theories with higher rank antisymmetric tensor fields. We also derive a simple 2D action describing static axisymmetric magnetic EYM configurations and discuss a possibility of existence of cylindrical EYM sphalerons.

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