Department of Mathematical and Statistical Sciences,

University of Alberta,

Edmonton,

T6G 2G1 CANADA

E-mail: HP.Kunzle@UAlberta.ca

**Symmetries of generalized Einstein-Yang-Mills-Higgs
fields**

**Abstract:**

The classical interaction of gravitational and gauge fields in the
form of Einstein-Yang-Mills theory has been studied quite extensively over
the last almost 20 years. Most of the work was done in the spherically
symmetric case and has led to some interesting new phenomena like the coloured
black holes. In this talk, which is on joint work with Todd A. Oliynyk,
the notion of spherical (and more general) symmetry groups on systems with
quite general gauge and generalized Higgs fields will be discussed in the
mathematical framework of group actions of principal and associated fibre
bundles. The possible spherically symmetric models are classified and the
corresponding field equations analyzed.