Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908430499840000 |
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| author | Agarwal, Ujjwal Carloni, Sante |
| author_facet | Agarwal, Ujjwal Carloni, Sante |
| contents | We present the complete set of covariant equations that govern the locally rotationally symmetric torsion spacetimes sourced by Weyssenhoff fluid in Einstein-Cartan-Sciama-Kibble gravity. Using these equations, we can explore in detail the peculiar relationship between conformal structure and torsion. We develop a comprehensive scheme to categorize these torsional spacetimes into distinct classes. We explicitly analyze the properties of each class and obtain novel analytical solutions to the gravitational field equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_01840 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Agarwal, Ujjwal Carloni, Sante General Relativity and Quantum Cosmology Mathematical Physics We present the complete set of covariant equations that govern the locally rotationally symmetric torsion spacetimes sourced by Weyssenhoff fluid in Einstein-Cartan-Sciama-Kibble gravity. Using these equations, we can explore in detail the peculiar relationship between conformal structure and torsion. We develop a comprehensive scheme to categorize these torsional spacetimes into distinct classes. We explicitly analyze the properties of each class and obtain novel analytical solutions to the gravitational field equations. |
| title | Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2507.01840 |