Open AccessCold dark matter models with a step‐like initial power spectrum
Author(s) -
Gramann M.,
Hütsi G.
Publication year - 2000
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1046/j.1365-8711.2000.03576.x
Subject(s) - physics , spectral density , astrophysics , hubble's law , galaxy , cold dark matter , dark matter , range (aeronautics) , matter power spectrum , spectrum (functional analysis) , galaxy cluster , redshift , statistics , quantum mechanics , materials science , mathematics , composite material
We investigate the properties of clusters of galaxies in the ΛCDM models with a step‐like initial power spectrum. We examine the mass function, the peculiar velocities and the power spectrum of clusters in models with different values of the density parameter Ω 0 , the normalized Hubble constant h and the spectral parameter p that describes the shape of the initial power spectrum. The results are compared with observations. We also investigate the rms bulk velocity in the models, where the properties of clusters are consistent with the observed data. We find that the power spectrum of clusters is in good agreement with the observed power spectrum of the Abell–ACO clusters if the spectral parameter p is in the range p =0.6–0.8. The power spectrum and the rms peculiar velocity of clusters are consistent with observations only if Ω 0 <0.4. The models with Ω 0 =0.3 are consistent with the observed properties of clusters if h =0.50–0.63. For h =0.65, we find that Ω 0 =0.20–0.27.