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arXiv · 0912.4246

Perturbation Method for Particle-like Solutions of the Einstein-Dirac-Maxwell Equations

Simona Rota Nodari
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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 $(\frac{e}{m})^2<1$. We show that the nondegenerate solution of Choquard's equation generates a branch of solutions of the Einstein-Dirac-Maxwell equations.

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Simona Rota Nodari. 2009-12-21. Perturbation Method for Particle-like Solutions of the Einstein-Dirac-Maxwell Equations. https://arxiv.org/abs/0912.4246

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