Mathematics – Logic
Scientific paper
Sep 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974apj...192..577l&link_type=abstract
Astrophysical Journal, vol. 192, Sept. 15, 1974, pt. 1, p. 577-579. Research supported by the National Research Council of Cana
Mathematics
Logic
Astronomical Models, Big Bang Cosmology, Universe, Curvature, Half Planes, Inequalities, Mathematical Models
Scientific paper
The half-plane defined by the deceleration parameter q and the density parameter sigma is reexamined to locate the regions appropriate to a closed big-bang universe which cannot expand without limit. Algebraic and numerical inequalities, relevant to these regions, are established for the cosmological constant, the radius of curvature of the 3-space, and the age of the universe. It is found that the permitted values of the various parameters lie within reasonably narrow limits.
Landsberg Peter T.
Pathria R. K.
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