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.

arXiv comment12 pages, 5 figures

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Cited by in corpus (7)

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• 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