Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 32, Issue 7, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/32/7/075012
Keywords
singularity theorems; low regularity; regularisation; causality theory
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Funding
- Austrian Science Fund (FWF) [P 23714, P 25326] Funding Source: researchfish
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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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