Abstract.
We prove the existence of the gravitating BPS monopole in Einstein-Yang-Mills-Higgs (EYMH) theory. Existence is established using a Newtonian perturbation argument which shows that a Yang-Mills-Higgs BPS monopole solution can be be continued analytically in powers of 1/c 2 to an EYMH solution.
Communicated by Sergiu Klainerman
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submitted 2/04/04, accepted 29/08/05
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Oliynyk, T.A. An Existence Proof for the Gravitating BPS Monopole. Ann. Henri Poincaré 7, 199–232 (2006). https://doi.org/10.1007/s00023-005-0247-3
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DOI: https://doi.org/10.1007/s00023-005-0247-3