Spinors in Cylindrically Symmetric Space–Time
We studied the behavior of nonlinear spinor field within the scope of a static cylindrically symmetric space–time. It is found that the energy-momentum tensor (EMT) of the spinor field in this case possesses nontrivial non-diagonal components. The presence of non-diagonal components of the EMT impos...
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MDPI AG
2020-09-01
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Online Access: | https://www.mdpi.com/2218-1997/6/9/152 |
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author | Bijan Saha |
author_facet | Bijan Saha |
author_sort | Bijan Saha |
collection | DOAJ |
description | We studied the behavior of nonlinear spinor field within the scope of a static cylindrically symmetric space–time. It is found that the energy-momentum tensor (EMT) of the spinor field in this case possesses nontrivial non-diagonal components. The presence of non-diagonal components of the EMT imposes three-way restrictions either on the space–time geometry or on the components of the spinor field or on both. It should be noted that the analogical situation occurs in cosmology when the nonlinear spinor field is exploited as a source of gravitational field given by the Bianchi type-I cosmological model. |
first_indexed | 2024-03-10T16:19:16Z |
format | Article |
id | doaj.art-1c4539b27b7d46efa09d9d247ef7d5c5 |
institution | Directory Open Access Journal |
issn | 2218-1997 |
language | English |
last_indexed | 2024-03-10T16:19:16Z |
publishDate | 2020-09-01 |
publisher | MDPI AG |
record_format | Article |
series | Universe |
spelling | doaj.art-1c4539b27b7d46efa09d9d247ef7d5c52023-11-20T13:47:10ZengMDPI AGUniverse2218-19972020-09-016915210.3390/universe6090152Spinors in Cylindrically Symmetric Space–TimeBijan Saha0Laboratory of Information Technologies, Joint Institute for Nuclear Research, 141980 Dubna, RussiaWe studied the behavior of nonlinear spinor field within the scope of a static cylindrically symmetric space–time. It is found that the energy-momentum tensor (EMT) of the spinor field in this case possesses nontrivial non-diagonal components. The presence of non-diagonal components of the EMT imposes three-way restrictions either on the space–time geometry or on the components of the spinor field or on both. It should be noted that the analogical situation occurs in cosmology when the nonlinear spinor field is exploited as a source of gravitational field given by the Bianchi type-I cosmological model.https://www.mdpi.com/2218-1997/6/9/152spinor fieldcylindrical symmetryenergy-momentum tensor |
spellingShingle | Bijan Saha Spinors in Cylindrically Symmetric Space–Time Universe spinor field cylindrical symmetry energy-momentum tensor |
title | Spinors in Cylindrically Symmetric Space–Time |
title_full | Spinors in Cylindrically Symmetric Space–Time |
title_fullStr | Spinors in Cylindrically Symmetric Space–Time |
title_full_unstemmed | Spinors in Cylindrically Symmetric Space–Time |
title_short | Spinors in Cylindrically Symmetric Space–Time |
title_sort | spinors in cylindrically symmetric space time |
topic | spinor field cylindrical symmetry energy-momentum tensor |
url | https://www.mdpi.com/2218-1997/6/9/152 |
work_keys_str_mv | AT bijansaha spinorsincylindricallysymmetricspacetime |