Abstract
We give a complete classification of all static, spherically symmetric solutions of the SU(2) Einstein-Yang-Mills theory with a positive cosmological constant. Our classification proceeds in two steps. We first extend solutions of the radial field equations to their maximal interval of existence. In a second step we determine the Carter-Penrose diagrams of all 4-dimensional space-times constructible from such radial pieces. Based on numerical studies we sketch a complete phase space picture of all solutions with a regular origin.
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Communicated by G.W. Gibbons
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Breitenlohner, P., Forgács, P. & Maison, D. Classification of Static, Spherically Symmetric Solutions of the Einstein-Yang-Mills Theory with Positive Cosmological Constant. Commun. Math. Phys. 261, 569–611 (2006). https://doi.org/10.1007/s00220-005-1427-1
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DOI: https://doi.org/10.1007/s00220-005-1427-1