Bonn 2001 – wissenschaftliches Programm

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GR: Gravitation und Relativitätstheorie

GR 8: Schwarze Löcher

GR 8.2: Fachvortrag

Mittwoch, 28. März 2001, 14:30–14:45, VII

Monopole-Antimonopole Solutions of Einstein-Yang-Mills-Higgs Theory — •Burkhard Kleihaus1 and Jutta Kunz21Department on Mathematical Physics, University College, Dublin, Dublin 4, Ireland — 2Fachbereich Physik, Universität Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany

We consider static axially symmetric solutions of SU(2) Einstein-Yang-Mills-Higgs theory, representing gravitating monopole-antimonopole pairs (MAPs) [1,2]. With increasing gravitational coupling strength α a branch of gravitating MAP solutions emerges from the flat space MAP. When gravity becomes too strong for regular MAP solutions to persist, a second branch of solutions emerges, extending back to α=0. Along this branch the MAP solutions shrink to zero size, as α→ 0, and approach the Bartnik-McKinnon solution with one node (after rescaling). Excited solutions with k nodes of the gauge field functions exist, representing k MAPs located on the symmetry axis. These solutions do not possess a flat space limit with finite energy. Imposing a regular event horizon centered at the origin, between the MAPs, we obtain static axially symmetric neutral black hole solutions with hair, which coincide with the globally regular MAP solutions in the limit of vanishing horizon radius. The masses of the black holes solutions are simply related to the masses of the corresponding globally regular solutions.
[1] Kleihaus and Kunz, Phys. Rev. Lett. 85(2000)2430-2433, (hep-th/0006148)
[2] Kleihaus and Kunz, Phys. Lett. B 494(2000)130-134, (hep-th/0008034)

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