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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
External document link
http://arxiv.org/abs/0906.5043v2
Date
2010
Journal name
Annales Henri Poincaré
Volume
10
Number
7
Publisher
Springer
Pages
1377-1393
Publication identifier
Metadata
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Author(s)
Rota Nodari, Simona cc
Abstract (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.
Subjects / Keywords
Einstein–Dirac equations; nonlinear Choquard equation