Quasi-local spin-angular momentum and the construction of axial vector fields
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866918143118540800 |
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| author | Rácz, István |
| author_facet | Rácz, István |
| contents | A novel procedure is presented which allows the construction of all axial vector fields on Riemannian two-spheres. Using these axial vector fields and the centre-of-mass unit sphere reference systems, a constructive definition of quasi-local spin-angular momentum is introduced. Balance relations are also derived, with respect to arbitrary Lie-propagated unit sphere reference systems, to characterize the angular momentum transports in spacetimes without symmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14251 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasi-local spin-angular momentum and the construction of axial vector fields Rácz, István General Relativity and Quantum Cosmology Mathematical Physics Differential Geometry A novel procedure is presented which allows the construction of all axial vector fields on Riemannian two-spheres. Using these axial vector fields and the centre-of-mass unit sphere reference systems, a constructive definition of quasi-local spin-angular momentum is introduced. Balance relations are also derived, with respect to arbitrary Lie-propagated unit sphere reference systems, to characterize the angular momentum transports in spacetimes without symmetries. |
| title | Quasi-local spin-angular momentum and the construction of axial vector fields |
| topic | General Relativity and Quantum Cosmology Mathematical Physics Differential Geometry |
| url | https://arxiv.org/abs/2401.14251 |