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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Main Author: Bijan Saha
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Universe
Subjects:
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.
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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