Self-duality equations for spherically symmetric SU(2) gauge fields
arXiv:hep-th/0201212 · doi:10.1140/epja/i2002-10046-4
Abstract
A model of spherically symmetric SU(2) gauge theory is considered. The self-duality equations are written and it is shown that they are compatible with the Einstein-Yang-Mills equations. It is proven that this property is true for any gauge theory with curved base space-time and having a compact Lie group as structural group.
8 pages