Limiting masses of solutions of the Einstein-Yang/Mills equations

The first main result of this paper is that the masses of any sequence of distinct, globally defined, spherically symmetric solutions of the SU(2) Einstein-Yang/Mills equations (i.e., particle-like solutions) converge to 2. In addition, if one considers black-hole solutions of these equations, defined for r > rho, where rho is the radius of the black-hole (the event horizon), then it is shown that the masses of any sequence of distinct black-hole solutions converge to rho + 1/rho if rho > 1, and to 2, if rho less than or equal to 1.