A deSitter gauge theory of gravitation over a spherical symmetric Minkowski space–time is developed. The "passive" point of view is adapted, i.e., the space–time coordinates are not affected by group transformations; only the fields change under the action of the symmetry group. A particular ansatz for the gauge fields is chosen and the components of the strength tensor are computed. An analytical solution of Schwarzschild–deSitter type is obtained in the case of null torsion. It is concluded that the deSitter group can be considered as a "passive" gauge symmetry for gravitation. Because of their complexity, all the calculations, inclusive of the integration of the field equations, are performed using an analytical program conceived in GRTensorII for MapleV. The program allows one to compute (without using a metric) the strength tensor [Formula: see text], Riemann tensor [Formula: see text], Ricci tensor [Formula: see text], curvature scalar [Formula: see text], field equations, and the integration of these equations.

A de-Sitter gauge theory of the gravitational field is developed using a spherical symmetric Minkowski space-time as base manifold. The gravitational field is described by gauge potentials and the mathematical structure of the underlying space-time is not affected by physical events. The field equations are written and their solutions without singularities are obtained by imposing some constraints on the invariants of the model. An example of such a solution is given and its dependence on the cosmological constant is studied. A comparison with results obtained in General Relativity theory is also presented.

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Abstract. Spinning black holes are presented in terms of gauge fields in a commutative gauge theory of gravitation. The field strength tensor comes as a consequence of the particular ansatz for gauge fields. In order to obtain spinning black holes in a noncommutative gauge theory of gravitation is used an analytical procedure conceived in GRTensorII. To calculate the leading noncommutative corrections and to choose an appropriate noncommutative parameter are used recursive relations. The gauge fields and the field strength tensor for a spinning mass preserves some features of other cosmological solutions in the gauge theory of gravitation and the noncommutative corrections are expected to provide some important physical insights.