Perturbation method for particle-like solutions of the Einstein-Dirac-Maxwell equations [Une méthode de perturbation pour les solutions localisées des équations d'Einstein-Dirac-Maxwell]

摘要

The aim of this Note is to prove by a perturbation method the existence of solutions of the coupled Einstein-Dirac-Maxwell equations for a static, spherically symmetric system of two fermions in a singlet spinor state and with the electromagnetic coupling constant (e/m)~2<1. We show that the nondegenerate solution of Choquard's equation generates a branch of solutions of the Einstein-Dirac-Maxwell equations.