A covariant (1+1+2) formalism is developed for the Dirac field in LRS space-times, yielding analytical and numerical solutions for self-gravitating configurations.
Dirac Theory in Hydrodynamic Form
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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.
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The Dirac field in LRS space-times: a covariant approach
A covariant (1+1+2) formalism is developed for the Dirac field in LRS space-times, yielding analytical and numerical solutions for self-gravitating configurations.
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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.