Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989ap%26ss.159..317s&link_type=abstract
Astrophysics and Space Science, Volume 159, Issue 2, pp.317-331
Astronomy and Astrophysics
Astrophysics
Scientific paper
The geometries of both variants of Einstein's models are different. In order to prove this, the authors use descriptive and analytic geometries in four and five dimensions. In this way the derived figures visually and clearly show the distinctiveness of both variants, and the partial congruence of Einstein's hyperspherical model with de Sitter's models designated asB andC. For this second evidence, the modified relation of-ix 4=ct is applied, and the full sense of the factori = sqrt { - 1} is noeticaly explained. In view of explanation mentioned here, the proper significance of de Sitter's modelB is a hole in our space, and the absence of mass in it is more intelligible in this context. Some geometrical properties of these four primordial models were not sufficiently known and came to be confused with each other, which perhaps was the cause of controversies about their diverse consequences in the past; and this situation has partly lasted up to the present.
Souĉek Jaroslav
Soucek Vladimir
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