Perturbation Method for Particle-like Solutions of the Einstein-Dirac-Maxwell Equations
Analysis of PDEs
2009-12-22 v1
Abstract
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 . We show that the nondegenerate solution of Choquard's equation generates a branch of solutions of the Einstein-Dirac-Maxwell equations.
Cite
@article{arxiv.0912.4246,
title = {Perturbation Method for Particle-like Solutions of the Einstein-Dirac-Maxwell Equations},
author = {Simona Rota Nodari},
journal= {arXiv preprint arXiv:0912.4246},
year = {2009}
}