Spinor Field in FLRW Cosmology
Within the scope of a Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmological model we study the role of a nonlinear spinor field in the evolution of the universe. In doing so, we exploit the FLRW models given in both Cartesian and spherical coordinates. It is found that if the FLRW model is given i...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/9/5/243 |
| _version_ | 1797598164725792768 |
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| author | Bijan Saha |
| author_facet | Bijan Saha |
| author_sort | Bijan Saha |
| collection | DOAJ |
| description | Within the scope of a Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmological model we study the role of a nonlinear spinor field in the evolution of the universe. In doing so, we exploit the FLRW models given in both Cartesian and spherical coordinates. It is found that if the FLRW model is given in the spherical coordinates the energy-momentum tensor (EMT) of the spinor field possesses nontrivial non-diagonal components, which is not the case for Cartesian coordinates. These non-diagonal components do not depend on either the spinor field nonlinearity or the parameter <i>k</i> that defines the type of curvature of the FLRW model. The presence of such components imposes some restrictions on the spinor field. The problem is studied for open, flat and close geometries and the spinor field is used to simulate different types of sources including dark energies. Some qualitative numerical solutions are given. |
| first_indexed | 2024-03-11T03:15:29Z |
| format | Article |
| id | doaj.art-837f542ded904bd68f183a52fbcf702d |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-11T03:15:29Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-837f542ded904bd68f183a52fbcf702d2023-11-18T03:35:10ZengMDPI AGUniverse2218-19972023-05-019524310.3390/universe9050243Spinor Field in FLRW CosmologyBijan Saha0Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, 141980 Moscow, RussiaWithin the scope of a Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmological model we study the role of a nonlinear spinor field in the evolution of the universe. In doing so, we exploit the FLRW models given in both Cartesian and spherical coordinates. It is found that if the FLRW model is given in the spherical coordinates the energy-momentum tensor (EMT) of the spinor field possesses nontrivial non-diagonal components, which is not the case for Cartesian coordinates. These non-diagonal components do not depend on either the spinor field nonlinearity or the parameter <i>k</i> that defines the type of curvature of the FLRW model. The presence of such components imposes some restrictions on the spinor field. The problem is studied for open, flat and close geometries and the spinor field is used to simulate different types of sources including dark energies. Some qualitative numerical solutions are given.https://www.mdpi.com/2218-1997/9/5/243Alexander Friedmannexpanding universeaccelerated expansiondark energyspinor fieldenergy-momentum tensor |
| spellingShingle | Bijan Saha Spinor Field in FLRW Cosmology Universe Alexander Friedmann expanding universe accelerated expansion dark energy spinor field energy-momentum tensor |
| title | Spinor Field in FLRW Cosmology |
| title_full | Spinor Field in FLRW Cosmology |
| title_fullStr | Spinor Field in FLRW Cosmology |
| title_full_unstemmed | Spinor Field in FLRW Cosmology |
| title_short | Spinor Field in FLRW Cosmology |
| title_sort | spinor field in flrw cosmology |
| topic | Alexander Friedmann expanding universe accelerated expansion dark energy spinor field energy-momentum tensor |
| url | https://www.mdpi.com/2218-1997/9/5/243 |
| work_keys_str_mv | AT bijansaha spinorfieldinflrwcosmology |