Exact solutions of wormhole type in Einstein–Yang–Mills-systems with extra space-time dimensions

We consider an Einstein–Yang–Mills-system in multidimentional space-time $E=R\times S^{3}\times G_{2,5}$ and derive euclideanized equations of motion in the sector of $SO(4)\times SO(5)$-symmetric gauge fields for the case of the gauge group $SU(m)$. Both static and time-dependent exact wormhole type solutions to these equations are explicitly found.