  We consider the Einstein/Yang-Mills equations in $3+1$ space time dimensions
with $\SU(2)$ gauge group and prove rigorously the existence of a globally
defined smooth static solution. We show that the associated Einstein metric is
asymptotically flat and the total mass is finite. Thus, for non-abelian gauge
fields the Yang/Mills repulsive force can balance the gravitational attractive
force and prevent the formation of singularities in spacetime.
