Compact space-times and the no-return theorem.

Details Compact space-times and the no-return theorem. Compact space-times and the no-return theorem.

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18.1181n&link_type=abstract

General Relativity and Gravitation, Volume 18, Issue 11, pp.1181-1186

Computer Science

3

General Relativity:Space-Time

Scientific paper

It is shown that, as a consequence of the no-return theorem of Tipler, a
generic non-spacelike convergent compact space-time cannot admit a
closed embedded edgeless spacelike hypersurface. Such a space-time
cannot therefore be spatially isotropic and so cannot provide a
satisfactory model of the universe.

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