Platonic Gravitating Skyrmions

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.

13 pages, 4 figures

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Cited by in corpus (12)

• Spontaneous scalarisation of charged black holes
• Hedgehog ansatz and its generalization for self-gravitating Skyrmions
• Static Einstein-Maxwell black holes with no spatial isometries in AdS space
• Generalized Skyrmions and hairy black holes in asymptotically AdS${}_4$ spacetime
• Gravitating sphalerons in the Skyrme model
• Solitons and Black Holes in a Generalized Skyrme Model with Dilaton-Quarkonium field
• Static black holes with axial symmetry in asymptotically AdS${}_4$ spacetime
• Extensions of the generalized hedgehog ansatz for the Einstein-nonlinear $\sigma$-model system: black holes with NUT, black strings and time-dependent solutions
• Time Evolution of the Radial Perturbations and Linear Stability of Solitons and Black Holes in a Generalized Skyrme Model
• Dynamics of gravitating hadron matter in Bianchi-IX cosmological model
• Chemical potential as a source of stability for gravitating Skyrmions
• Experimental and Theoretical Evidence for Extended Particle Models