Self-gravitating nonlinear Dirac fields

Fuente: arXiv
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Autori principali: Zhang, Huan, He, Jingsong
Natura: Preprint
Pubblicazione: 2025
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author Zhang, Huan
He, Jingsong
author_facet Zhang, Huan
He, Jingsong
contents We consider the self-gravitating Dirac field with a scalar fermion self-interaction term. For strong enough attractive fermion self-interaction, the maximum Arnowitt-Deser-Misner mass of soliton solutions consisting of two fermions can exceed the limit of noninteracting Dirac stars classically, and the "particle-like" solutions of the system can exhibit multiplicity, multiple valid solutions for a single set of parameters, that is inherent in the nonlinear Dirac field. We also find the mass-scale separation in our system similar to that discussed in the Einstein-Dirac-Higgs system. Interestingly, the system admits parity-violated solutions. The broken parity symmetry can be restored by increasing the central redshift of the solution.
format Preprint
id arxiv_https___arxiv_org_abs_2508_11714
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Self-gravitating nonlinear Dirac fields
Zhang, Huan
He, Jingsong
General Relativity and Quantum Cosmology
We consider the self-gravitating Dirac field with a scalar fermion self-interaction term. For strong enough attractive fermion self-interaction, the maximum Arnowitt-Deser-Misner mass of soliton solutions consisting of two fermions can exceed the limit of noninteracting Dirac stars classically, and the "particle-like" solutions of the system can exhibit multiplicity, multiple valid solutions for a single set of parameters, that is inherent in the nonlinear Dirac field. We also find the mass-scale separation in our system similar to that discussed in the Einstein-Dirac-Higgs system. Interestingly, the system admits parity-violated solutions. The broken parity symmetry can be restored by increasing the central redshift of the solution.
title Self-gravitating nonlinear Dirac fields
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2508.11714