München 2009 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 5: Klassische Allgemeine Relativitätstheorie II

GR 5.1: Talk

Tuesday, March 10, 2009, 16:45–17:05, A214

Gravitating Sphaleron-Antisphaleron Systems — Rustam Ibadov¹, Burkhard Kleihaus², Jutta Kunz², and •Michael Leissner² — ¹Department of Theoretical Physics and Computer Science, Samarkand State University, Samarkand, Uzbekistan — ²Institut für Physik, Universität Oldenburg, D-26111 Oldenburg, Germany

The configuration space of the bosonic sector of Yang-Mills-Higgs theory possesses non-trivial topology. This gives rise to a plethora of unstable classical solutions, such as the Klinkhamer-Manton sphaleron. Representing a saddlepoint of the energy functional between two topologically inequivalent vacua, its existence permits processes, which violate baryon number conservation.

We here present new solutions to Einstein-Yang-Mills-Higgs theory, representing gravitating sphaleron-antisphaleron pairs, chains and vortex rings. In these static axially symmetric solutions, the Higgs field vanishes on isolated points on the symmetry axis, or on rings centered around the symmetry axis.