We present a model of gauge theory based on the symmetry group G×SU(2) where G is the gravitational gauge group and SU(2) is the internal group of symmetry.We employ the spacetime of four-dimensional Minkowski,endowed with spherical coordinates,and describe the gauge fields by gauge potentials.The corresponding strength field tensors are calculated and the field equations are written.A solution of these equations is obtained for the case that the gauge potentials have a particular form with spherical symmetry.The solution for the gravitational potentials induces a metric of Schwarzschild type on the gravitational gauge group space.
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