Spacetime singularities and curvature blow-ups
| Autor: | Rácz, István |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Gen Relativ Gravit 55, 3 (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10714-022-03053-9 |
| Popis: | The singularity theorems of Penrose, Hawking, and Geroch predict the existence of incomplete inextendible causal geodesics in a wide range of physically adequate spacetimes modeling the gravitational collapse of stars and the expanding universe. Here, using results on spacetime extensions, it is shown that if a suitable low regular form of the strong cosmic censor hypothesis holds, then parallelly propagated blow-up of either the tidal force or frame-drag part of the curvature must occur in ``generic'' timelike geodesically incomplete maximal Cauchy developments. Comment: 25 pages, no figure |
| Databáze: | arXiv |
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