Mathematics – Logic
Scientific paper
Jun 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998ncimb.113..785t&link_type=abstract
Nuovo Cimento B, Vol. 113B, No. 6, p. 785 - 804
Mathematics
Logic
2
Cosmological Models: Pulsations
Scientific paper
This work continues the study of a pulsating model of the universe which belongs to the FLRW class of cosmologies. In addition to cold dust, the source consists of two traceless tensors, one with positive-energy density, the other with negative-energy density. The latter is a possible substitute for the cosmological term, while the former is related to the CMB radiation, and other massless radiation. It is proposed that the negative-energy density is to be obtained from a suitable sum over momentum states of a filled band of gravitationally observable, negative-energy states of a massless neutrino-like particle. A cut-off EA is necessary, bounds on which, at the present epoch, are shown to be -0.53×10-3eV > EA > -5.5×10-3eV in the CMB frame. In an appendix, it is shown that if the source consists of only dust plus positive-energy radiation, the expansion parameter a goes through time loops, whose widths exceed ≡3.2×103h100-4y for a closed or a flat universe, and ≡4.8×103h100-4y for an open universe; a also becomes negative during the time-reversed motion. Four figures are given that illustrate the time-dependence of the expansion parameter for various cases. In addition, the case of a pure, positive-energy radiation universe with its corresponding time loop is briefly discussed and contrasted with the pulsating model's absence of such a solution from the standpoint of Mach's principle.
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