Platonic Gravitating Skyrmions
Theodora Ioannidou, Burkhard Kleihaus, and Jutta Kunz
TL;DR
This paper constructs regular gravitating Skyrmions with discrete symmetries like tetrahedral and cubic, using an improved harmonic map ansatz and comparing solutions in different gravity models.
Contribution
It introduces a new approach to modeling gravitating Skyrmions with discrete symmetries and provides numerical solutions within this framework.
Findings
Existence of regular gravitating Skyrmions with tetrahedral and cubic symmetry
Comparison of solutions in Einstein and dilaton gravity models
Use of an improved harmonic map ansatz for parametrization
Abstract
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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