Constraints on a nonGaussian (χm2) cold dark matter model
Abstract
We consider constraints on the structure formation model based on nonGaussian fluctuations generated during inflation, which have χm2 distributions. Using three data sets, the abundance of the clusters at z=0, moderate z and the correlation length, we show that constraints on the nonGaussianity and the amplitude of fluctuations and the density parameter can be obtained. We obtain an upper bound for Ω_{m}, and a lower bound for the nonGaussianity and the amplitude of the fluctuations. Using the abundance of clusters at z~0.6, for the spectrum parametrized by cold dark matter (CDM) shape parameter Γ=0.23, we obtain an upper bound for the density parameter of Ω_{m}~0.5 and lower bounds for the amplitude of σ_{8}~0.7 and for the nonGaussianity of fluctuations of G~2 (m~200), where G=1 for Gaussian.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 December 1999
 DOI:
 10.1046/j.13658711.1999.03033.x
 arXiv:
 arXiv:astroph/9903027
 Bibcode:
 1999MNRAS.310.1111K
 Keywords:

 GALAXIES: CLUSTERS: GENERAL;
 COSMOLOGY: THEORY;
 DARK MATTER;
 Astrophysics
 EPrint:
 7 pages, 3 figures, MNRAS in press