Galaxy clusters and cold dark matter: A low-density unbiased universe?

Neta A. Bahcall, Renyue Cen

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162 Scopus citations


Large-scale (L = 400 h-1 Mpc) simulations of a universe dominated by cold dark matter (CDM) are tested against two fundamental properties of clusters of galaxies: the cluster mass function and the cluster correlation function. We find that standard biased CDM models (Ω = 1) are inconsistent with these observations for any bias parameter b. A low-density, low-bias (Ω ∼ 0.25, b ∼ 1) CDM-type model, with or without a cosmological constant, appears to be consistent with both the cluster mass function and the cluster correlations. The low-density model agrees well with the observed correlation function of the Abell, Automatic Plate Measuring Facility (APM), and Edinburgh-Durham cluster catalogs. The model is in excellent agreement with the observed dependence of the correlation strength on cluster mean separation, reproducing the measured universal dimensionless cluster correlation, ξcc = 0.2(r/d)-1.8. The low-density model is also consistent with other large-scale structure observations, including the APM angular galaxy correlations, and for Λ = 1 - Ω, with the COBE results of the microwave background radiation fluctuations.

Original languageEnglish (US)
Pages (from-to)L81-L84
JournalAstrophysical Journal
Issue number2 PART 2
StatePublished - Oct 20 1992

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Space and Planetary Science


  • Cosmology: theory
  • Dark matter
  • Galaxies: clustering
  • Large-scale structure of universe
  • Methods: numerical


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