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We study the static spherically symmetric Einstein-Yang-Mills equations with SU (2) gauge group and find numerical solutions which are nonsingular and asymptotically flat. These solutions have a high-density interior region with sharp boundary, a near-field region where the metric is approximately Reissner-Nrdstrom with Dirac monopole curvature source, and a far-field region where the metric is approximately Schwarzschild.
Bartnik et al. (Mon,) studied this question.