### 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 Broadhurst et al. (1990) turns out to be maximally periodic in the calculated spatial distance. In a previous work, Paál et al. (1992) have demonstrated that among the flat 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 Ω_{0}=ρ_{0}/ρ_{crit} and λ_{0}=Λ/3 H_{0}^{2} acceptable periodicity is obtained for all points of the parameter plane within the strip between the parallel lines 0.83Ω_{0}-0.30<λ_{0}(Ω_{0})<0.83Ω_{0}+0.85(Ω_{0}<1.8), whilst the best periodicities appear along the line λ_{0}=0.83Ω_{0}+0.39 fitting to the previous optimum at Ω_{0}=1/3, λ_{0}=2/3. Any nonpositive value of λ_{0} gives bad periodicity unless the space curvature is strongly negative and Ω_{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 time-scale longer than usually expected.

Original language | English |
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Pages (from-to) | 111-120 |

Number of pages | 10 |

Journal | Astrophysics and Space Science |

Volume | 198 |

Issue number | 1 |

DOIs | |

Publication status | Published - dec. 1 1992 |

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### ASJC Scopus subject areas

- Astronomy and Astrophysics
- Space and Planetary Science

### Cite this

*Astrophysics and Space Science*,

*198*(1), 111-120. https://doi.org/10.1007/BF00644305