Curvature bounds, regularity and inextendibility of spacetimes
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866908905325461504 |
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| author | Beran, Tobias Harvey, John Sämann, Clemens |
| author_facet | Beran, Tobias Harvey, John Sämann, Clemens |
| contents | We provide a completely new relation between curvature bounds and definiteness of the causal character of maximizers by exploiting the robust notion of synthetic curvature. This enables us to relate low-regularity inextendibility of spacetimes to unboundedness of curvature - which is at present unattainable using classical methods - thereby strengthening and complementing the results of Grant-Kunzinger-Saemann (2019) significantly. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_20802 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Curvature bounds, regularity and inextendibility of spacetimes Beran, Tobias Harvey, John Sämann, Clemens General Relativity and Quantum Cosmology Mathematical Physics Differential Geometry Metric Geometry 53C50, 51K10, 53C23, 53B30, 53C80, 83C99 We provide a completely new relation between curvature bounds and definiteness of the causal character of maximizers by exploiting the robust notion of synthetic curvature. This enables us to relate low-regularity inextendibility of spacetimes to unboundedness of curvature - which is at present unattainable using classical methods - thereby strengthening and complementing the results of Grant-Kunzinger-Saemann (2019) significantly. |
| title | Curvature bounds, regularity and inextendibility of spacetimes |
| topic | General Relativity and Quantum Cosmology Mathematical Physics Differential Geometry Metric Geometry 53C50, 51K10, 53C23, 53B30, 53C80, 83C99 |
| url | https://arxiv.org/abs/2603.20802 |