Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gregr..15..181p&link_type=abstract
General Relativity and Gravitation, vol. 15, Feb. 1983, p. 181-185
Astronomy and Astrophysics
Astronomy
6
Big Bang Cosmology, Size (Dimensions), Universe, Astronomical Models, Flux Density, Integral Equations
Scientific paper
Analytical arguments are presented to show that considerations of the size of the universe at the present time by modeling it as a hypersurface of homogeneity produces distances which are not geodesics of the enveloping space-time. If, instead, the hypersurface is generated by geodesics orthogonally intersecting the present world line, the model will correspond with a Friedmann model for a hypersurface with an edge at the initial singularity. It is shown that the latter hypersurface of simultaneity will predict a finite universe for all Friedmann universes, i.e., when k = +1, 0, or -1. The size of an anisotropic universe is then the length of the longest inextensible geodesic orthogonal to the world line at the present time when k = +1.
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