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• W4309261682 abstract "We identify certain general geometric conditions on a foliation of a spacetime (M,g) by timelike curves that will impede the existence of null geodesic lines, especially if (M,g) possesses a compact Cauchy hypersurface. The absence of such lines, in turn, yields well-known restrictions on the geometry of cosmological spacetimes, in the context of Bartnik's splitting conjecture. Since the (non)existence of null lines is actually a conformally invariant property, such conditions only need to apply for some suitable conformal rescaling of g." @default.
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• W4309261682 date "2022-11-01" @default.
• W4309261682 modified "2023-10-16" @default.
• W4309261682 title "Omniscient foliations and the geometry of cosmological spacetimes" @default.
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• W4309261682 doi "https://doi.org/10.1007/s10714-022-03033-z" @default.
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