Rigidity results for stochastically complete maximal hypersurfaces in Generalized Robertson-Walker spacetimes
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917913789726720 |
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| author | Medina, María Á. Pelegrín, José A. S. |
| author_facet | Medina, María Á. Pelegrín, José A. S. |
| contents | In this article we obtain new rigidity results for stochastically complete maximal hypersurfaces in Generalized Robertson-Walker spacetimes that satisfy the Null Energy Condition. Under appropiate geometric assumptions we prove new parametric uniqueness and nonexistence results as well as obtain a Calabi-Bernstein type result for the maximal hypersurface equation in these ambient spacetimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03054 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rigidity results for stochastically complete maximal hypersurfaces in Generalized Robertson-Walker spacetimes Medina, María Á. Pelegrín, José A. S. Differential Geometry 53C24, 53C42, 53C80 In this article we obtain new rigidity results for stochastically complete maximal hypersurfaces in Generalized Robertson-Walker spacetimes that satisfy the Null Energy Condition. Under appropiate geometric assumptions we prove new parametric uniqueness and nonexistence results as well as obtain a Calabi-Bernstein type result for the maximal hypersurface equation in these ambient spacetimes. |
| title | Rigidity results for stochastically complete maximal hypersurfaces in Generalized Robertson-Walker spacetimes |
| topic | Differential Geometry 53C24, 53C42, 53C80 |
| url | https://arxiv.org/abs/2502.03054 |