Berlin 2005 – scientific programme

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GR: Gravitation und Relativitätstheorie

GR 7: Einstein-Yang-Mills-Higgs

GR 7.2: Talk

Friday, March 4, 2005, 18:30–18:45, TU BH262

Gravitating Monopole-Antimonopole Chains and Vortex Rings — •Burkhard Kleihaus, Jutta Kunz, and Yasha Shnir — University of Oldenburg

We construct monopole-antimonopole chain and vortex solutions in Yang-Mills-Higgs theory coupled to Einstein gravity. The solutions are static, axially symmetric and asymptotically flat. They are characterized by two integers (m,n) where m is related to the polar angle and n to the azimuthal angle. Solutions with n=1 and n=2 correspond to chains of m monopoles and antimonopoles. Here the Higgs field vanishes at m isolated points along the symmetry axis. Larger values of n give rise to vortex solutions, where the Higgs field vanishes on one or more rings, centered around the symmetry axis. When gravity is coupled to the flat space solutions, a branch of gravitating monopole-antimonopole chain or vortex solutions arises, and bifurcates at a maximal value of the coupling constant with a second branch of solutions. This second branch has no flat space limit. Instead in the limit of vanishing coupling constant and thus vanishing Higgs field, it either ends in known Einstein-Yang-Mills solutions or, for m>4, n>4, it ends in new Einstein-Yang-Mills solutions, and, in this case, further branches of solutions appear.