No solutions exist for the Dirac equations in spherical symmetry when the spinor satisfies spacetime symmetries via the Lie derivative, as shown by polar re-formulation.
Spinor fields in spherical symmetry: Einstein-Dirac and other space-times
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A note on spinor fields in spherical symmetry
No solutions exist for the Dirac equations in spherical symmetry when the spinor satisfies spacetime symmetries via the Lie derivative, as shown by polar re-formulation.