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Dirac stars supported by nonlinear spinor fields

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arxiv 1811.07500 v2 pith:Y33RYGG3 submitted 2018-11-19 gr-qc

classification gr-qc
keywords configurationsconstantdiracfieldslambdaspinorstarssystems
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abstract

We study configurations consisting of a gravitating spinor field $\psi$ with a nonlinearity of the type $\lambda\left(\bar\psi\psi\right)^2$. To ensure spherical symmetry of the configurations, we use two spin-$\frac{1}{2}$ fields forming a spin singlet. For such systems, we find regular stationary asymptotically flat solutions describing compact objects. For negative values of the coupling constant $\lambda$, it is shown that, by choosing physically reasonable values of this constant, it is possible to obtain configurations with masses comparable to the Chandrasekhar mass. It enables us to speak of an astrophysical interpretation of the obtained systems, regarding them as Dirac stars.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. 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.

  2. Charged Dirac stars

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Charged Dirac stars exist as gravitationally bound solutions only for charge-to-mass ratio q/m<1; supercritical q>m solutions are all unbound, and the mass-frequency curve inherits the boson-star spiral.

  3. Boson Stars in Bumblebee Gravity and Their Gravitational Waveforms from Extreme-Mass-Ratio Inspirals

    gr-qc 2025-12 conditional novelty 5.0 of 10

    In bumblebee gravity, the Lorentz-violating parameter ℓ makes mini-boson stars more compact for positive ℓ and produces LISA-detectable, sustained EMRI waveforms for penetrating orbits.

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