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Publikováno v:
Letters in Mathematical Physics. 113
In this work, we prove a synthetic splitting theorem for globally hyperbolic Lorentzian length spaces with global non-negative timelike curvature containing a complete timelike line. Just like in the case of smooth spacetimes, we construct complete,
We extend both the Hawking-Penrose Theorem and its generalisation due to Galloway and Senovilla to Lorentzian metrics of regularity $C^1$. For metrics of such low regularity, two main obstacles have to be addressed. On the one hand, the Ricci tensor
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f18f08af235d0d762f56b0426bc323c
https://phaidra.univie.ac.at/o:1624664
https://phaidra.univie.ac.at/o:1624664