SU(3) Einstein-Skyrme Solitons and Black Holes

TL;DR

This paper explores new solutions and black holes in the SU(3) Einstein-Skyrme system, revealing novel features and potential stability properties of SO(3) embeddings compared to SU(2).

Contribution

It introduces new particle-like solutions and black holes in the SU(3) Einstein-Skyrme system, especially for the SO(3) embedding, and analyzes their properties and stability conjectures.

Findings

SO(3) embedding yields new solutions with even topological charge

Existence of two solution branches forming a cusp at critical coupling

Mass of B=2 SO(3) solutions is less than twice B=1 SU(2) solutions

Abstract

In the SU(3) Einstein-Skyrme system static spherically symmetric particle-like solutions and black holes exist for both the SU(2) and the SO(3) embedding. The SO(3) embedding leads to new particle-like solutions and black holes, sharing many features with the SU(2) solutions. In particular, there are always two branches of solutions, forming a cusp at a critical coupling constant. The regular SO(3) solutions have even topological charge $B$. The mass of the $B=2$ SO(3) solutions is less than twice the mass of the $B=1$ SU(2) solutions. We conjecture, that the lowest SO(3) branches correspond to stable particle-like solutions and stable black holes.