Abundance of rich clusters of galaxies - A test for cosmological parameters

Statistics – Computation

Scientific paper

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Abundance, Computational Astrophysics, Galactic Clusters, Mass Distribution, Astronomical Models, Cosmology, Dark Matter, Distribution Functions, X Ray Spectra

Scientific paper

The Press-Schechter formalism for deriving distribution functions for mass and X-ray temperature (or velocity dispersion) of rich clusters of galaxies in hierarchical clustering scenarios is extended to general cosmologies with arbitrary values of cosmological density parameter and cosmological constant. These distribution functions are shown to provide important diagnostics for both the fluctuation spectrum and for the fundamental cosmological parameters. The distribution functions for low-density CDM models fall less steeply off at the high end compared with the 'standard' CDM model. This brings them closer to the observational results. However, CDM models with Omega(0) = 0.2 and H(0) = 100 km/s Mpc might need an antibias of the galaxy fluctuations relative to the mass fluctuations to reproduce the X-ray temperature function of Henry and Arnaud (1991) in the 3-10 keV range.

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