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Particlelike Solutions of the Einstein-Yang-Mills Equations

Robert BartnikCentre for Mathematical Analysis, Australian National University, Canberra, A.C.T. 2601, AustraliaJ. J. McKinnonCentre for Mathematical Analysis, Australian National University, Canberra, A.C.T. 2601, Australia
1988en
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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-N\o{}rdstrom with Dirac monopole curvature source, and a far-field region where the metric is approximately Schwarzschild.

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