Finite foliations of open universes and point-like big bang

Physics

Scientific paper

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Scientific paper

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.The situation is analogous to what happens in Milne's "toy" universe, which, however, can only be filled with point particles. How, in the general case, finite slices can contain an infinite amount of matter is explained by time-reversed gravitational collapse.

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