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Journal Articles Comptes Rendus. Mathématique Year : 2010

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

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 $\left(\frac{e}{m}\right)^2<1$. 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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Dates and versions

hal-00442453 , version 1 (21-12-2009)

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Simona Rota Nodari. Perturbation Method for Particle-like Solutions of the Einstein-Dirac-Maxwell Equations. Comptes Rendus. Mathématique, 2010, 348, pp.Pages 791-794. ⟨10.1016/j.crma.2010.06.003⟩. ⟨hal-00442453⟩
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