Integrability of Dirac equations in static spherical space-times
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914792037416960 |
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| author | Cianci, Roberto Vignolo, Stefano Fabbri, Luca |
| author_facet | Cianci, Roberto Vignolo, Stefano Fabbri, Luca |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_09291 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Integrability of Dirac equations in static spherical space-times Cianci, Roberto Vignolo, Stefano Fabbri, Luca General Relativity and Quantum Cosmology Mathematical Physics 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. |
| title | Integrability of Dirac equations in static spherical space-times |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2304.09291 |