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Compact space-times and the no-return theorem - MaRDI portal

Compact space-times and the no-return theorem (Q1081135)

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scientific article; zbMATH DE number 3969593
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Compact space-times and the no-return theorem
scientific article; zbMATH DE number 3969593

    Statements

    Compact space-times and the no-return theorem (English)
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    1986
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    The no-return theorem of \textit{F. J. Tipler} [Essays in general relativity (Academic Press 1980; Zbl 0443.00020), pp. 21-37] is used to prove the following theorem: Let (M,g) be a non-spacelike convergent, generic space-time, with M compact. Then M admits no closed embedded edgeless spacelike hypersurface. This is taken as a reason for the dismissal of compact space-times as satisfactory models of the universe.
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    no-return theorem
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    non-spacelike convergent
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    generic space-time
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    spacelike hypersurface
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    compact space-times
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