Abstract
We prove the existence of infinitely-many globally defined singularity-free solutions, to the EYM equations withSU(2) gauge group. The solutions are indexed by a coupling constant, have distinct winding numbers, and their corresponding Einstein metrics decay at infinity to the flat Minkowski metric. Each solution has a finite (ADM) mass; these masses are derived from the solutions, and arenot arbitrary constants.
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Communicated by S.-T. Yau
Both authors supported in part by the NSF, Contract No. DMS 89-05205
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Smoller, J.A., Wasserman, A.G. Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations. Commun.Math. Phys. 151, 303–325 (1993). https://doi.org/10.1007/BF02096771
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DOI: https://doi.org/10.1007/BF02096771