The interaction of Dirac particles with non-abelian gauge fields and gravity – bound states Original Research Article

We consider a spherically symmetric, static system of a Dirac particle interacting with classical gravity and an SU(2) Yang–Mills field. The corresponding Einstein–Dirac–Yang–Mills equations are derived. Using numerical methods, we find different types of soliton-like solutions of these equations and discuss their properties. Some of these solutions are stable even for arbitrarily weak gravitational coupling.