期刊
CLASSICAL AND QUANTUM GRAVITY
卷 32, 期 7, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/32/7/075012
关键词
singularity theorems; low regularity; regularisation; causality theory
类别
资金
- Austrian Science Fund (FWF) [P 23714, P 25326] Funding Source: researchfish
We provide a detailed proof of Hawking's singularity theorem in the regularity class C-1,C-1, i.e., for spacetime metrics possessing locally Lipschitz continuous first derivatives. The proof uses recent results in C-1,C-1-causality theory and is based on regularisation techniques adapted to the causal structure.
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