Cosmological Parameters and Redshift Periodicity
Abstract
This work is the continuation of the search for such a cosmological model using which the observed redshift distribution of galaxies in the sample of Broadhurstet al. (1990) turns out to be maximally periodic in the calculated spatial distance. In a previous work, Paálet al. (1992) have demonstrated that among theflat models with nonnegative cosmological constant (e.e., vacuum density) the one with a vacuum: dust ratio 2:1 provides the optimum. Now we extend that study to the case of arbitrary space curvature and find equally good periodicity in a surprisingly wide range of models. By use of the dimensionless parameters ?_{0}=ρ _{0}/ρ _{crit} andλ _{0}=Λ/3H {_{0}/^{2}} acceptable periodicity is obtained forall points of the parameter plane within the strip between the parallel lines 0.83?_{0}0.30<λ _{0}(?_{0})<0.83?_{0}+0.85(?_{0}<1.8), whilst the best periodicities appear along the lineλ _{0}=0.83?_{0}+0.39 fitting to the previous optimum at ?_{0}=1/3,λ _{0}=2/3. Any nonpositive value ofλ _{0} gives bad periodicity unless the space curvature is strongly negative and ?_{0}<0.4. Fairly good periodicity is observed only in the range of the deceleration parameter 1.2≤q _{0}<0.2, corresponding to a small or even negative total gravitational attraction and an expansion timescale longer than usually expected.
 Publication:

Astrophysics and Space Science
 Pub Date:
 December 1992
 DOI:
 10.1007/BF00644305
 Bibcode:
 1992Ap&SS.198..111H
 Keywords:

 Astronomical Models;
 Cosmic Dust;
 Periodic Variations;
 Red Shift;
 Gravitational Fields;
 Metric Space;
 Space Density;
 Astrophysics