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Finite foliations of open FRW universes and the point-like big bang. (English) Zbl 1154.83303

Summary: Every open FRW universe can be completely foliated by spacelike slices of finite volume, each intersecting every fundamental worldline. The volumes tend to zero in the past, suggesting a point-like big bang. Embedding diagrams confirm this. How finite slices can contain an infinite amount of matter is explained by time-reversed gravitational collapse.

MSC:

83C15 Exact solutions to problems in general relativity and gravitational theory
83F05 Relativistic cosmology
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[1] Lynden-Bell, D.; Katz, J.; Redmount, I. H., Mon. Not. R. Astron. Soc., 239, 201 (1989)
[2] Rindler, W., Essential Relativity (1997), Springer: Springer New York · Zbl 0198.31102
[3] Page, D. N., Gen. Relativ. Gravit., 15, 181 (1983)
[4] Hawking, S. W.; Ellis, G. F.R., The Large Scale Structure of Space-Time (1973), Cambridge University Press: Cambridge University Press Cambridge · Zbl 0265.53054
[5] Robertson, H. P., Proc. Natl. Acad. Sci, 15, 822 (1929)
[6] Schücking, E. L., Ann. NY Acad. Sci, 655, 340 (1992)
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