Constraining cosmological models with cluster power spectra
Abstract
Using extensive Nbody simulations we estimate redshift space power spectra of clusters of galaxies for different cosmological models (SCDM, TCDM, CHDM, ΛCDM, OCDM, BSI, τCDM) and compare the results with observational data for AbellACO clusters. Our mock samples of galaxy clusters have the same geometry and selection functions as the observational sample which contains 417 clusters of galaxies in a double cone of galactic latitude b>30° up to a depth of 240 h^{1} Mpc. The power spectrum has been estimated for wave numbers k in the range 0.03≲k≲0.2 h Mpc^{1}. For k>k_{max}≃0.05 h Mpc^{1} the power spectrum of the AbellACO clusters has a powerlaw shape, P(k)∝k^{n}, with n≈1.9, while it changes sharply to a positive slope at k<k_{max}. By comparison with the mock catalogues SCDM, TCDM (n=0.9), and also OCDM with Ω_{0}=0.35 are rejected. Better agreement with observation can be found for the ΛCDM model with Ω_{0}=0.35 and h=0.7 and the CHDM model with two degenerate neutrinos and Ω_{HDM}=0.2 as well as for a CDM model with broken scale invariance (BSI) and the τCDM model. As for the peak in the AbellACO cluster power spectrum, we find that it does not represent a very unusual finding within the set of mock samples extracted from our simulations.
 Publication:

New Astronomy
 Pub Date:
 December 1998
 DOI:
 10.1016/S13841076(98)000347
 arXiv:
 arXiv:astroph/9709044
 Bibcode:
 1998NewA....3..631R
 Keywords:

 95.35;
 98.80;
 98.65.Dx;
 Superclusters;
 largescale structure of the Universe;
 Astrophysics
 EPrint:
 LaTeX, 27 pages, 8 figures (EPS). Revised version (title changed, CHDM model added, discussion expanded). Accepted by NewA