2009/12/21 by Nodari, Simona Rota
#Analysis of PDEs (math.AP) #FOS: Mathematics
paper · doi:10.48550/arxiv.0912.4246
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.