Gravitation as an internal gauge theory of the Poincaré group

Abstract

We describe a gauge theory of gravitation based on the poincaré group treated as an internal symmetry group acting on five-dimensional fiber spaces. One special feature of the theory is that the metric structure of the manifold which serves as the base space appears as a natural consequence of the formalism and is not imposed a priori. The theory encompasses general relativity and the Einstein–Cartan theory as particular cases, as well as other gravitation theories with torsium which have been recent proposed.