Solution of the de-Sitter gauge theory

The de-Sitter gauge theory with SO(1,4) as symmetry group is considered. A real parameter that determines a deformation of the Lie algebra of this group is introduced. It determines the cosmological constant of the model. When this parameter vanishes we obtain the Poincare gauge theory of the gravitational field without cosmological constant. Solutions of the gravitational field equations are obtained considering a model with spherically symmetric gauge potentials. In particular, the case of gravitational field created by a point-like mass having a constant electric charge is considered. The duality property is also studied considering a magnetic monopole with non-null mass as source of the gravitational field. Our de-Sitter gauge theory of gravitation has the Minkowski space-time as base manifold and its geometrical structure is not affected anymore by the gauge transformations. (author)