Cosmological parameters and redshift periodicity
- Cite this article as:
- Holba, Á., Horváth, I., Lukács, B. et al. Astrophys Space Sci (1992) 198: 111. doi:10.1007/BF00644305
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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 non-negative 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 Ω0=ρ0/ρcrit andλ0=Λ/3H02 acceptable periodicity is obtained forall points of the parameter plane within the strip between the parallel lines 0.83Ω0−0.30<λ0(Ω0)<0.83Ω0+0.85(Ω0<1.8), whilst the best periodicities appear along the lineλ0=0.83Ω0+0.39 fitting to the previous optimum at Ω0=1/3,λ0=2/3. Any nonpositive value ofλ0 gives bad periodicity unless the space curvature is strongly negative and Ω0<0.4. Fairly good periodicity is observed only in the range of the deceleration parameter −1.2≤q0<0.2, corresponding to a small or even negative total gravitational attraction and an expansion time-scale longer than usually expected.