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Platonic Gravitating Skyrmions

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arxiv gr-qc/0601103 v1 pith:P2UQ3HQX submitted 2006-01-24 gr-qc

Theodora Ioannidou , Burkhard Kleihaus , Jutta Kunz This is my paper · ORCID
classification gr-qc
keywords skyrmionsansatzgravitatingobtainedapproximationcomparedconsistencyconstruct
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We construct globally regular gravitating Skyrmions, which possess only discrete symmetries. In particular, we present tetrahedral and cubic Skyrmions. The SU(2) Skyrme field is parametrized by an improved harmonic map ansatz. Consistency then requires also a restricted ansatz for the metric. The numerical solutions obtained within this approximation are compared to those obtained in dilaton gravity.

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