Gravitation

Abstract

Gravitation is introduced as a gauge field that couples to the impulsion in the Lagrangian approach to the classical mechanics. The equations of motion in a central static field yield an amazing result: a repulsive gravitational potential appears at short distance. As a consequence black holes would have a stable and finite size, thus eliminating gravitational singularities. The expansion of the universe and its acceleration could be explained without recourse to a hypothetical dark energy.