REGULAR AND BLACK-HOLE SOLUTIONS OF EINSTEIN-YANG-MILLS DILATON THEORY

We present numerical and analytical results on static spherically symm etric solutions of an SU(2) Yang-Mills field coupled to the gravitatio nal field and to a dilaton. For any value of the dilaton coupling cons tant we find a discrete family of globally regular solutions of finite mass. In addition our analysis indicates the existence of a similar d iscrete family of black hole solutions for any given radius r(h) of th eir horizon. All these solutions turn out to be unstable in linearized perturbation theory.