Spinor fields in spherical symmetry: Einstein–Dirac and other space-times
| Autor: | Bijan Saha, Yu. P. Rybakov, K. A. Bronnikov |
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| Rok vydání: | 2020 |
| Předmět: |
Condensed Matter::Quantum Gases
Physics Spinor 010308 nuclear & particles physics Scalar (physics) FOS: Physical sciences General Physics and Astronomy General Relativity and Quantum Cosmology (gr-qc) Space (mathematics) 01 natural sciences General Relativity and Quantum Cosmology symbols.namesake Spinor field 0103 physical sciences symbols Tensor Circular symmetry Einstein 010306 general physics Scalar field Mathematical physics |
| Zdroj: | The European Physical Journal Plus. 135 |
| ISSN: | 2190-5444 |
| Popis: | We discuss the static spherically symmetric Einstein-spinor field system in the possible presence of various spinor field nonlinearities. We take into account that the spinor field energy-momentum tensor (EMT) has in general some off-diagonal components, whose vanishing due to the Einstein equations substantially affects the form of the spinor field itself and the space-time geometry. In particular, the EMT structure with any spinor field nonlinearities turns out to be the same as that of the EMT of a minimally coupled scalar field with a self-interaction potential. Therefore many results previously obtained for systems with such scalar fields are directly extended to the Einstein-spinor field system. Some special solutions are obtained and discussed, in particular, a solution for the Einstein-Dirac system (which lack asymptotic flatness) and some examples with spinor field nonlinearities. Comment: 9 pages, 2 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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