A note on spinor fields in spherical symmetry

By employing the polar re-formulation, we show that there are no solutions of the Dirac equations in spherical symmetry when the spinor is required to satisfy the same symmetries as the spacetime via the Lie derivative.

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Publication Details

Journal
International Journal of Geometric Methods in Modern Physics
Published
2025-10-17
DOI
https://doi.org/10.1142/s0219887826500544
Primary Topic
Relativity and Gravitational Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

A note on spinor fields in spherical symmetry

Luca Fabbri, Stefano Vignolo
International Journal of Geometric Methods in Modern Physics
Relativity and Gravitational Theory
article

A note on spinor fields in spherical symmetry

Luca Fabbri, Stefano Vignolo
article en

Abstract

By employing the polar re-formulation, we show that there are no solutions of the Dirac equations in spherical symmetry when the spinor is required to satisfy the same symmetries as the spacetime via the Lie derivative.

International Journal of Geometric Methods in Modern Physics
Istituto Nazionale di Alta Matematica Francesco Severi (IT), Istituto Nazionale di Fisica Nucleare, Sezione di Genova (IT), University of Genoa (IT)
Openalex Percentile: Top 79%
Relativity and Gravitational Theory
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