Anisotropic Bianchi-I cosmological model with SU(2) - symmetric Yang- Mills field of the magneto-electric type

An anisotropic cosmological model with a gauge field, presented by spatially homogeneous SU(2)- symmetric Yang–Mills potentials, is considered. Bianchi-I model with axial symmetry is analyzed; a new exact solution, which describes the early Universe on the stage of domination of the gauge field of the magneto-electric type, is obtained.