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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.16912 |
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| _version_ | 1866911767674748928 |
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| author | Pelegrín, José A. S. |
| author_facet | Pelegrín, José A. S. |
| contents | In this article we obtain new rigidity results for spacelike submanifolds of arbitrary codimension in Generalized Robertson-Walker spacetimes. Namely, under appropriate assumptions such as parabolicity we prove by means of some maximum principles that they must be contained in a spacelike slice. This enables us to characterize extremal and weakly trapped submanifolds in these ambient spacetimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16912 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extremal and weakly trapped submanifolds in Generalized Robertson-Walker spacetimes Pelegrín, José A. S. General Relativity and Quantum Cosmology Differential Geometry In this article we obtain new rigidity results for spacelike submanifolds of arbitrary codimension in Generalized Robertson-Walker spacetimes. Namely, under appropriate assumptions such as parabolicity we prove by means of some maximum principles that they must be contained in a spacelike slice. This enables us to characterize extremal and weakly trapped submanifolds in these ambient spacetimes. |
| title | Extremal and weakly trapped submanifolds in Generalized Robertson-Walker spacetimes |
| topic | General Relativity and Quantum Cosmology Differential Geometry |
| url | https://arxiv.org/abs/2401.16912 |