Platonic Gravitating Skyrmions

Details Platonic Gravitating Skyrmions Platonic Gravitating Skyrmions

2006-01-24

arxiv.org/abs/gr-qc/0601103v1

Phys.Lett. B635 (2006) 161-167

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 4 figures

Scientific paper

10.1016/j.physletb.2006.02.049

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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