Fermion self-trapping in the optical geometry of Einstein-Dirac solitons

Abstract

We analyze gravitationally localized states of multiple fermions with high angular momenta, in the formalism introduced by Finster, Smoller, and Yau [Phys Rev. D 59, 104020 (1999)]. We show that the resulting soliton-like wave functions can be naturally interpreted in terms of a form of self-trapping, where the fermions become localized on shells the locations of which correspond to those of `bulges' in the optical geometry created by their own energy density.

12 pages, 5 figures

References in corpus (5)

• The Schrödinger-Newton equation as non-relativistic limit of self-gravitating Klein-Gordon and Dirac fields
• Asymptotically flat scalar, Dirac and Proca stars: discrete vs. continuous families of solutions
• Optical reference geometry and inertial forces in Kerr-de Sitter spacetimes
• Optical reference geometry of the Kerr-Newman spacetimes
• Perturbing the ground state of Dirac stars

Cited by in corpus (7)

• Traversable wormholes in Einstein-Dirac-Maxwell theory
• Einstein-Dirac system in semiclassical gravity
• Nonlinear effects in the excited states of many-fermion Einstein-Dirac solitons
• Gravitationally localized states of two neutral fermions interacting with a Higgs field
• Time-dependent Spinor field in a static cylindrically-symmetric space-time
• 'Stealth' singularities from self-gravitating fermions
• Self-gravitating nonlinear Dirac fields