Physically permitted cosmological models with nonzero cosmological constant

Details Physically permitted cosmological models with nonzero cosmological constant Physically permitted cosmological models with nonzero cosmological constant

Dec 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...382..369m&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 382, Dec. 1, 1991, p. 369-376.

Statistics

Computation

8

Astronomical Models, Computational Astrophysics, Cosmology, Relativity, Evolution (Development), Hubble Constant

Scientific paper

Cosmological models with nonzero cosmological constant Lambda are reconsidered. It is shown that the classification for such models which is usually presented in not complete. For Lambda less than zero, the results are the same as those found by Robertson (1933). For positive Lambda, depending on the value of the density parameter, it is found that there are one or two particular values of lambda(0) which separate the different types of models. Models with lambda(0) less than lambda(M) oscillate independently of the value of the curvature parameter. The end of the expansion phase occurs at y greater than 1 and therefore are physically permitted models. When lambda (M) is positive, models with lambda(0) between lambda(M) and lambda(C) are of the inflexional type. The expansion never ends and goes through an inflationary phase for large y. Models with lambda(0) larger than lambda(C) oscillate if they start at y = 0; otherwise, they are of the inflexional type.

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