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

Rota Nodari, Simona

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

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Type

Article accepté pour publication ou publié

Date

2010

Journal name

Annales Henri Poincaré

Volume

Number

Publisher

Springer

Pages

1377-1393

CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]

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

Particle-like solutions; Einstein-Dirac equations; perturbation method