Codimension two spacelike submanifolds into null hypersurfaces of generalized Robertson-Walker spacetimes
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866918127273508864 |
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| author | Alias, Luis J. Melendez, Josue Navarro, Matias Solis, Didier A. |
| author_facet | Alias, Luis J. Melendez, Josue Navarro, Matias Solis, Didier A. |
| contents | We study codimension two spacelike submanifolds contained into a general class of null hypersurfaces in generalized Robertson-Walker spacetimes, refer to as nullcones. In particular we analyze light cones and lightlike cylinders in Lorentz-Minkowski spacetime, as well as null cones in de Sitter spacetime. We give conditions on a radial coordinate that guarantee that such a spacelike submanifold is conformally diffeomorphic to the hyperbolic space, a round cylinder a sphere; respectively. We also provide some non-existence results for weakly trapped submanifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_13852 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Codimension two spacelike submanifolds into null hypersurfaces of generalized Robertson-Walker spacetimes Alias, Luis J. Melendez, Josue Navarro, Matias Solis, Didier A. Differential Geometry 53C40, 53C42 We study codimension two spacelike submanifolds contained into a general class of null hypersurfaces in generalized Robertson-Walker spacetimes, refer to as nullcones. In particular we analyze light cones and lightlike cylinders in Lorentz-Minkowski spacetime, as well as null cones in de Sitter spacetime. We give conditions on a radial coordinate that guarantee that such a spacelike submanifold is conformally diffeomorphic to the hyperbolic space, a round cylinder a sphere; respectively. We also provide some non-existence results for weakly trapped submanifolds. |
| title | Codimension two spacelike submanifolds into null hypersurfaces of generalized Robertson-Walker spacetimes |
| topic | Differential Geometry 53C40, 53C42 |
| url | https://arxiv.org/abs/2508.13852 |