  The multidimensional gravity on principal bundle with structural SU(2) gauge
group is considered. The Lorentzian wormhole solution disposed between two null
surfaces is founded in this case. As the nondiagonal components are similar to
a gauge fields (in Kaluza - Klein's sense) then in some sense this solution is
dual to the black hole in 4D Einstein - Yang - MIlls gravity: 4D black hole has
the stationary area outside of event horizon but multidimensional wormhole
inside null surface (on which $ds^2=0$).
