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

Chris A. Hooley; David G. Dritschel; Keith Horne; Peter E. D. Leith

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

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arxiv 2002.02747 v1 pith:VNZW2I7S submitted 2020-02-07 gr-qc hep-thquant-ph

Peter E. D. Leith , Chris A. Hooley , Keith Horne , David G. Dritschel This is my paper · ORCID

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keywords fermionsgeometrylocalizedopticalself-trappinganalyzeangularbecome

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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.

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Multishell Dirac fermions in the Einstein-Dirac system
gr-qc 2025-07 conditional novelty 6.0 of 10

Multishell solutions of the spherically symmetric Einstein-Dirac system are constructed for 2, 6, 12, and 20 fermions.

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