Optical geometries
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866915155762216960 |
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| author | Fino, Anna Leistner, Thomas Taghavi-Chabert, Arman |
| author_facet | Fino, Anna Leistner, Thomas Taghavi-Chabert, Arman |
| contents | We study the notion of optical geometry, defined to be a Lorentzian manifold equipped with a null line distribution, from the perspective of intrinsic torsion. This is an instance of a non-integrable version of holonomy reduction in Lorentzian geometry. These generate congruences of null curves, which play an important rôle in general relativity. Conformal properties of these are investigated. We also extend this concept to generalised optical geometries as introduced by Robinson and Trautman. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2009_10012 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Optical geometries Fino, Anna Leistner, Thomas Taghavi-Chabert, Arman Differential Geometry General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics 53C50, 53C10 (Primary) 53B30, 53C18 (Secondary) We study the notion of optical geometry, defined to be a Lorentzian manifold equipped with a null line distribution, from the perspective of intrinsic torsion. This is an instance of a non-integrable version of holonomy reduction in Lorentzian geometry. These generate congruences of null curves, which play an important rôle in general relativity. Conformal properties of these are investigated. We also extend this concept to generalised optical geometries as introduced by Robinson and Trautman. |
| title | Optical geometries |
| topic | Differential Geometry General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics 53C50, 53C10 (Primary) 53B30, 53C18 (Secondary) |
| url | https://arxiv.org/abs/2009.10012 |