Abstract
We have examined a solution to the FRW model of the Einstein and de Sitter Universe, often termed the standard model of cosmology, using wide values for the normalized cosmic constant (Ω∧) and spacetime curvature (Ω k ) with proposed values of normalized matter density. These solutions were evaluated using a combination of the third type of elliptical equations and were found to display critical points for redshift z, between 1 and 3, when Ω∧ is positive. These critical points occur at values for normalized cosmic constant higher than those currently thought important, though we find this solution interesting because the Ω∧ term may increase in dominance as the Universe evolves bringing this discontinuity into importance. We also find positive Ω∧tends towards attractive at values of z which are commonly observed for distant galaxies.
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Öztaş, A.M., Smith, M.L. Elliptical Solutions to the Standard Cosmology Model with Realistic Values of Matter Density. Int J Theor Phys 45, 896–907 (2006). https://doi.org/10.1007/s10773-006-9082-7
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DOI: https://doi.org/10.1007/s10773-006-9082-7