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arXiv · 2304.09291

Integrability of Dirac equations in static spherical space-times

Roberto Cianci·Stefano Vignolo·Luca Fabbri
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Abstract

We consider the Dirac equations in static spherically-symmetric space-times, and we present a type of spinor field whose structure allows the separation of elevation angle and radial coordinate in very general situations. We demonstrate that after such a separation of variables the Dirac equations reduce to two equations that can always be integrated, at least in principle. To prove that ours is a fully-working method, we find an explicit exact solution in the special case of the de Sitter universe.

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Roberto Cianci, Stefano Vignolo, Luca Fabbri. 2023-04-05. Integrability of Dirac equations in static spherical space-times. https://doi.org/10.1140/epjp/s13360-024-05126-x

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