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arXiv · 2508.11714

Self-gravitating nonlinear Dirac fields

Huan Zhang·Jingsong He
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Abstract

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.

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Huan Zhang, Jingsong He. 2025-08-14. Self-gravitating nonlinear Dirac fields. https://doi.org/10.1140/epjc%2Fs10052-025-14609-9

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