Abstract
It is shown analytically that every static, spherically symmetric solution to the Einstein–Yang–Mills equations with SU(2) gauge group that is defined in the far field has finite ADM mass. Moreover, there can be at most two horizons for such solutions. The three types of solutions possible, Bartnik–McKinnon particle-like solutions, Reissner–Nordström-type solutions, and black hole solutions having only one horizon are distinguished by the behavior of the metric coefficients at the origin.
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