SU(3) Einstein-Skyrme solitons and black holes

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.