Mathematics – Logic
Scientific paper
Jun 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999ncimb.114..661t&link_type=abstract
Nuovo Cimento B, Vol. 114B, No. 6, p. 661 - 681
Mathematics
Logic
1
Cosmological Models: Density
Scientific paper
This work extends a previous study of the flatness problem in the context of the pulsating model of the universe. It is shown that there are actually two principal density parameters: Ω (total) and Ω (ponderable matter), and the former is less than the latter. Both parameters exhibit minima that are always greater than unity. Curves illustrating the behavior of both parameters as a function of the expansion are given. There is further discussion of the Hubble and deceleration parameters together with illustrative curves. Estimates are made, under various assumptions, of the bounce size, maximum total energy density and maximum CMB temperature. Under a conservative assumption, based on the observed CMB anisotropy, the estimated background temperature at the bounce is so low that baryon-antibaryon and monopole production are excluded. The strong energy and dominant energy conditions are shown to be violated in succession as the expansion (looking backwards in time) nears the bounce. Some of the problems remaining for the pulsating model, such as its disagreement with present astronomical observations that apparently support an open universe, are discussed.
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