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- W2022752766 abstract "We summarize what is currently known about the future evolution and final state of closed universes: in mathematical language, those which have a compact Cauchy surface. We show that the existence of a maximal hypersurface (a time of maximum expansion) is a necessary and sufficient condition for the existence of an all-encompassing final singularity in a universe with a compact Cauchy surface. The only topologies which can admit maximal hypersurfaces are |$S^3 ,text{and} ,S^2 times S^1,$| together with more complicated topologies formed from these two types of 3-manifold by connected summation and certain identifications. The relevance of these results to inflation is also discussed." @default.
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- W2022752766 date "1985-09-01" @default.
- W2022752766 modified "2023-10-05" @default.
- W2022752766 title "Closed universes: their future evolution and final state*" @default.
- W2022752766 doi "https://doi.org/10.1093/mnras/216.2.395" @default.
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