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

Rota Nodari, Simona (2010), Perturbation Method for Particle-like Solutions of the Einstein–Dirac Equations, Annales Henri Poincaré, 10, 7, p. 1377-1393. http://dx.doi.org/10.1007/s00023-009-0015-x

Type
Article accepté pour publication ou publié
Lien vers un document non conservé dans cette base
http://arxiv.org/abs/0906.5043v2
Date
2010
Nom de la revue
Annales Henri Poincaré
Volume
10
Numéro
7
Éditeur
Springer
Pages
1377-1393
Identifiant publication
Métadonnées
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Auteur(s)
Rota Nodari, Simona cc
Résumé (EN)
The aim of this work is to prove by a perturbation method the existence of solutions of the coupled Einstein–Dirac equations for a static, spherically symmetric system of two fermions in a singlet spinor state. We relate the solutions of our equations to those of the nonlinear Choquard equation and we show that the nondegenerate solution of Choquard’s equation generates solutions of the Einstein–Dirac equations.
Mots-clés
Einstein–Dirac equations; nonlinear Choquard equation