Local regularity of spacetimes under Ricci curvature and Lie derivative conditions
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908587558699008 |
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| author | Chen, Bing-Long |
| author_facet | Chen, Bing-Long |
| contents | In this paper, we derive a general regularity estimate for any 4-d spacetime, in terms of a priori bounds of the Ricci curvature and Lie derivative of the Lorentzian metric with respect to an arbitrary timelike vector field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_09946 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local regularity of spacetimes under Ricci curvature and Lie derivative conditions Chen, Bing-Long Differential Geometry Primary 53c50, Secondary 83c20 In this paper, we derive a general regularity estimate for any 4-d spacetime, in terms of a priori bounds of the Ricci curvature and Lie derivative of the Lorentzian metric with respect to an arbitrary timelike vector field. |
| title | Local regularity of spacetimes under Ricci curvature and Lie derivative conditions |
| topic | Differential Geometry Primary 53c50, Secondary 83c20 |
| url | https://arxiv.org/abs/2510.09946 |