An existence proof for the gravitating BPS monopole

Oliynyk, Todd A.

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An existence proof for the gravitating BPS monopole

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Oliynyk, Todd A.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Oliynyk, T. A. (2006). An existence proof for the gravitating BPS monopole. Annales Henri Poincare, 7(2), 199-232.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4A91-6

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/c2 to an EYMH solution.