Nonlinear spinor field with Lyras geometry: Bianchi type-VI space-time
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912980279492608 |
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| author | Saha, Bijan |
| author_facet | Saha, Bijan |
| contents | In the context of a Bianchi type-VI space-time characterized by Lyras geometry, we investigate the influence of a nonlinear spinor field on the evolution of the Universe. Our previous research has examined the nonlinear spinor field within Bianchi diagonal models, revealing that the spinor field exhibits non-trivial non-diagonal components of the energy-momentum tensor. These components impose various constraints on both the space-time geometry and the spinor field itself. The incorporation of Lyras geometry into the framework does not alleviate these constraints; however, it alters the preservation of the energy-momentum tensor. Furthermore, this integration complicates the relationship between the invariants of the spinor field and the space-time, ultimately affecting the outcomes of our analysis. Moreover, in this case energy-momentum tensor does not preserve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23062 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nonlinear spinor field with Lyras geometry: Bianchi type-VI space-time Saha, Bijan General Relativity and Quantum Cosmology In the context of a Bianchi type-VI space-time characterized by Lyras geometry, we investigate the influence of a nonlinear spinor field on the evolution of the Universe. Our previous research has examined the nonlinear spinor field within Bianchi diagonal models, revealing that the spinor field exhibits non-trivial non-diagonal components of the energy-momentum tensor. These components impose various constraints on both the space-time geometry and the spinor field itself. The incorporation of Lyras geometry into the framework does not alleviate these constraints; however, it alters the preservation of the energy-momentum tensor. Furthermore, this integration complicates the relationship between the invariants of the spinor field and the space-time, ultimately affecting the outcomes of our analysis. Moreover, in this case energy-momentum tensor does not preserve. |
| title | Nonlinear spinor field with Lyras geometry: Bianchi type-VI space-time |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2603.23062 |