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GR: Gravitation und Relativitätstheorie

GR 201: Einstein-Yang-Mills-Higgs, Skyrmionen und Bosonensterne

GR 201.2: Talk

Tuesday, March 21, 2006, 11:10–11:30, K

Gravitating stationary dyons and rotating vortex rings — •Ulrike Neemann, Burkhard Kleihaus und Jutta Kunz — Universität Oldenburg

We discuss dyons and electrically charged monopole-antimonopole pairs and vortex rings in Einstein-Yang-Mills-Higgs theory. The solutions are stationary, axially symmetric and asymptotically flat. In monopole-antimonopole pair solutions the Higgs field vanishes at two discrete points along the symmetry axis. In vortex solutions the Higgs field vanishes on a ring, centered around the symmetry axis. The dyons with magnetic charge n ≥ 2 represent non-static solutions with vanishing angular momentum. In contrast to the dyons the monopole-antimonopole pairs and vortex rings possess vanishing magnetic charge, but finite angular momentum, equaling n times their electric charge. We observe that two branches of solutions cross at a certain value of the coupling constant α_cr before they merge. Monopole-antimonopole pairs with doubly charged poles show a transition to vortex rings at a value α_vr.