Yang–Mills solutions on Minkowski space via non-compact coset spaces

We find a two-parameter family of solutions the Yang–Mills equations for gauge group SO(1,3) on Minkowski space by foliating different parts it with non-compact coset spaces isometry. The interior lightcone is foliated hyperbolic H3≅SO(1,3)/SO(3), while exterior employs de Sitter dS≅3SO(1,3)/SO(1,2). itself parametrized SO(1,3)/ISO(2) in nilpotent fashion. Equivariant reduction system first two yields mechanical inverted double-well potential and foliation parameter serving as an evolution parameter. Its known analytic are periodic or runaway except kink. On lightcone, only vacuum solution remains. constructed field strength singular across infinite action due to noncompact cosets. energy-momentum tensor takes very simple form, energy density opposite signs inside outside lightcone.