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GR: Gravitation und Relativitätstheorie

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

GR 201.4: Talk

Tuesday, March 21, 2006, 11:50–12:10, K

Gravitating Multi-Skyrmions — •Burkhard Kleihaus¹, Theodora Ioannidou², and Jutta Kunz¹ — ¹Universität Oldenburg — ²Aristotle University of Thessaloniki

Gravitating multi-Skyrmion configurations with either discrete platonic symmetry or axial symmetry are investigated numerically. We use the harmonic map Ansatz for the Skyrmion field and a simplified Ansatz for the metric to obtain approximate solutions of multi-Skyrmions coupled to gravity. These solutions are static and asymptotically flat. The symmetry of the solutions is imposed by the choice of the harmonic map. We present axially symmetric solutions with baryon number B=2,3,4, as well as the tetrahedral B=3 and cubic B=4 solutions. We show that for fixed baryon number (and given symmetry) two branches of gravitating multi-Skyrmions exist, which merge at a maximal value of the coupling parameter.