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We prove that there are no magnetically charged particle-like solutions for Abelian models in Einstein Yang-Mills, but for non-Abelian models the possibility remains open.
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Todd Oliynyk, The static spherically symmetric Einstein-Yang-Mills equations , Ph.D. thesis, University of Alberta, 2002
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Todd A. Oliynyk and H. P. Künzle, Local existence proofs for the boundary value problem for static spherically symmetric Einstein-Yang-Mills fields with compact gauge groups , J. Math. Phys. 43
2002
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Todd A. Oliynyk and H. P. Künzle, On all possible static spherically symmetric EYM solitons and black holes , Classical Quantum Gravity 19
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Burkhard Kleihaus, Jutta Kunz, and Abha Sood, SU ( 3 ) {\rm SU}(3) Einstein-Yang-Mills sphalerons and black holes , Phys. Lett. B 354
1995
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Anthony M. Bloch, P. S. Krishnaprasad, Jerrold E. Marsden, and Richard M. Murray, Nonholonomic mechanical systems with symmetry , Arch. Rational Mech. Anal. 136
1996
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Michael Forger, Invariant polynomials and Molien functions , J. Math. Phys. 39
1998
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2003
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Robert Bartnik, Mark Fisher, and Todd A. Oliynyk, Static spherically symmetric solutions of the SO ( 5 ) \mathrm{SO}(5) Einstein Yang–Mills equations , J. Math. Phys. 51
2010
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Mark Fisher, The Einstein-Yang-Mills equations – Particle-like Solutions for Non-Abelian Models , Ph.D. thesis, Monash University, 2010
2010
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