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Spinors in Cylindrically Symmetric Space–Time

by 1,2
1
Laboratory of Information Technologies, Joint Institute for Nuclear Research, 141980 Dubna, Russia
2
Peoples’ Friendship University of Russia (RUDN University), 117198 Moscow, Russia
Universe 2020, 6(9), 152; https://doi.org/10.3390/universe6090152
Received: 12 August 2020 / Revised: 8 September 2020 / Accepted: 11 September 2020 / Published: 15 September 2020
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. View Full-Text
Keywords: spinor field; cylindrical symmetry; energy-momentum tensor spinor field; cylindrical symmetry; energy-momentum tensor
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MDPI and ACS Style

Saha, B. Spinors in Cylindrically Symmetric Space–Time. Universe 2020, 6, 152. https://doi.org/10.3390/universe6090152

AMA Style

Saha B. Spinors in Cylindrically Symmetric Space–Time. Universe. 2020; 6(9):152. https://doi.org/10.3390/universe6090152

Chicago/Turabian Style

Saha, Bijan. 2020. "Spinors in Cylindrically Symmetric Space–Time" Universe 6, no. 9: 152. https://doi.org/10.3390/universe6090152

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