Absence of Static, Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang/Mills Equations with Complete Fermion Shells

Felix Finster; Joel Smoller; Shing-Tung Yau

Absence of Static, Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang/Mills Equations with Complete Fermion Shells

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arxiv gr-qc/0005028 v3 pith:377OOIVD submitted 2000-05-10 gr-qc math-phmath.APmath.MP

Felix Finster , Joel Smoller , Shing-Tung Yau This is my paper · ORCID

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keywords blackeinstein-dirac-yangequationsholemillssphericallystaticsymmetric

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We study a static, spherically symmetric system of (2j+1) massive Dirac particles, each having angular momentum j, j=1,2,..., in a classical gravitational and SU(2) Yang-Mills field. We show that for any black hole solution of the associated Einstein-Dirac-Yang/Mills equations, the spinors must vanish identically outside of the event horizon.

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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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