Sheet universes and the shapes of Friedmann universes

Details Sheet universes and the shapes of Friedmann universes Sheet universes and the shapes of Friedmann universes

Jul 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989mnras.239..201l&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 239, July 1, 1989, p. 201-217.

Statistics

Computation

11

Astronomical Models, Big Bang Cosmology, Computational Astrophysics, Universe, Minkowski Space, Singularity (Mathematics), Space-Time Functions, Topology

Scientific paper

Unless Omega is greater than 1, the Big Bang did not start from a point. Consideration shows sheet universes in which matter is confined to a homogeneous universes. Sheet universes and the corresponding embeddings of FRW universes into Minkowski space are drawn. Their initial singularities are shown to be point-like for the 'closed' case, line-like for the 'flat' (Omega equals 1) case and surface-like for the 'open' case. In contrast to the cross-sections at constant comoving proper time, typical spacelike cross-sections of the 'flat' universes are closed and encounter their extensive singularities. All cross-sections of the 'closed' universe are closed, and only very special cross-sections encounter the point singularities at the Big Bang or the Big Crunch.

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