Gravitating Sphaleron-Antisphaleron Systems
Rustam Ibadov, Burkhard Kleihaus, Jutta Kunz, Michael Leissner

TL;DR
This paper introduces new static, axially symmetric solutions in Einstein-Yang-Mills-Higgs theory, including sphaleron-antisphaleron pairs, chains, and vortex rings, with Higgs fields vanishing at specific points or rings.
Contribution
It presents novel gravitating sphaleron-antisphaleron configurations, expanding the understanding of classical solutions in Einstein-Yang-Mills-Higgs theory.
Findings
Solutions include sphaleron-antisphaleron pairs, chains, and vortex rings.
Higgs field vanishes on isolated points or rings on the symmetry axis.
Comparison made between these solutions and gravitating monopole-antimonopole systems.
Abstract
We present new classical solutions of Einstein-Yang-Mills-Higgs theory, representing gravitating sphaleron-antisphaleron pair, chain and vortex ring solutions. 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. We compare these solutions to gravitating monopole-antimonopole systems, associating monopole-antimonopole pairs with sphalerons.
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