Journal
EUROPEAN PHYSICAL JOURNAL C
Volume 80, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1140/epjc/s10052-020-7926-6
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Funding
- FONDECYT [3190873, 3200884, 1200022, 1181047]
- Conacyt [A1-S-11548]
- Chilean Government through the Centers of Excellence Base Financing Program of Conicyt
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We construct the first analytic self-gravitating Skyrmions with higher Baryon charge in four dimensions for the SU(3)-Skyrme-Einstein-? theory by combining the generalized hedgehog ansatz with the approach developed by Balachandran et al. to describe the first (numerical) example of a non-embedded solution. These are genuine SU(3) analytic solutions instead of trivial embeddings of SU(2) into SU(3) and its geometry is that of a Bianchi IX Universe. The Skyrme ansatz is chosen in such a way that the Skyrme field equations are identically satisfied in the sector with Baryon charge 4. The field equations reduce to a dynamical system for the three Bianchi IX scale factors. Particular solutions are explicitly analyzed. Traversable wormholes with NUT-AdS asymptotics supported by a topologically non-trivial SU(3)-sigma soliton are also constructed. The self-gravitating solutions admit also a suitable flat limit giving rise to Skyrmions of charge 4 confined in a box of finite volume maintaining the integrability of the SU(3) Skyrme field equations. This formalism discloses a novel transition at finite Baryon density arising from the competition between embedded and non-embedded solutions in which the non-embedded solutions prevail at high density while are suppressed at low densities.
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