Geometry of the De-Sitter Universe

Details Geometry of the De-Sitter Universe Geometry of the De-Sitter Universe

Feb 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974ijtp....9..117l&link_type=abstract

International Journal of Theoretical Physics, Volume 9, Issue 2, pp.117-127

Physics

3

Scientific paper

By making use of the fact that the de-Sitter metric corresponds to a hyperquadric in a five-dimensional flat space, it is shown that the three Robertson-Walker metrics for empty spacetime and positive cosmological constant, corresponding to 3-space of positive, negative and zero curvative, are geometrically equivalent. The 3-spaces correspond to intersections of the hyperquadric by hyperplanes, and the time-like geodesics perpendicular to them correspond to intersections by planes, in all three cases.

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