A GENERALIZED BIRKHOFF THEOREM FOR THE EINSTEIN-YANG-MILLS SYSTEM

Some results of a systematic study of the coupled Einstein-Yang-Mills (EYM) equations for arbitrary gauge groups are presented herein. In a first step a group theoretical analysis of spherically symmetric EYM fields is given. This will lead to a concise description of a large class of principal bundles for which the spherically symmetric solutions of the EYM equations have to be static (generalized Birkhoff theorem) and the metric must be of the Reissner-Nordstrom-type.