EXACT SOLUTIONS OF THE SELF-DUALITY EQUATIONS ON THE MINKOWSKI SPACE-TIME

A SU(2) Gauge Theory with spherical symmetry over the Minkowski space-time is considered. The self-duality equation of the gauge fields are written and their solutions are obtained. Two exact solutions, one of which is statical and another of dynamical type are given. All the calculations are performed using an analytical program written in GRTensor computer algebra package, which runs on the MapleV platform.

On distal and equicontinuous compact right topological groups

W. Ruppert has studied, and given examples of, compact left topological groups for which the left translation flow(λG,G)is equicontinuous. Recently, we considered an analogous distal condition that applies to the groups of dynamical type; for these the topological centre is dense, so the translation flow is equicontinuous only in the trivial case whenGis topological. In the present paper, we continue this work, exhibiting new characterizations of equicontinuity and distality of(λG,G); we also discuss examples and study some related matters.