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The subject of this dissertation consists in analyzing a recent proposition,advanced by C.C.Barros, in which the non gravitational interactions can affectthe space-time metric as in gravity. In fact, in the context of theSchwarzschild solution, the hydrogen atom is described in a completely new way: instead of following the usual approach to describe the electron under theCoulomb potential by using the minimal coupling, the "proton-electron"interaction is rather incorporated in the metric. In this context, we reproducein this dissertation the same equations as predicted in Dirac theory for theweak potential approximation. Contrary to the statement made by Barros,claiming that he brought an insignificant correction to the electron levels, atthe end of our analysis, we assert that this new approach has the merit ofreproducing the relativistic spectrum as known in the Dirac theory. Thesespectacular results incite us to wonder about the role of the Principle ofEquivalence in the foundations of the general theory of relativity.

Les potentiels non gravitationnels et la structure de l'espace-temps