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Cluster Abundance as Test of the Primordial Perturbation Spectrum

Published online by Cambridge University Press:  26 July 2016

V. Müller
V. Müller*
Affiliation:
Astrophysical Institute Potsdam, D-14482 Potsdam, Germany

Abstract

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The Press-Schechter formalism is used to derive the abundance of rich galaxy clusters in dependence on the cluster mass or the corresponding X-ray temperature of the hot gas confined in the cluster potential wells. We consider a characteristic double inflation spectrum in the standard CDM model leading to a hierarchical clustering scenario. Normalising the amplitude to the COBE-quadrupole, and supposing a biasing b ≈ 2, we get a reasonable fit both to the amplitude and the slope of the X-ray temperature function of Edge et al. (1990) and Henry & Arnaud (1991). In the considered model the cluster abundance changes strongly with redshift.

Type
Part Thirteen: Properties and Clustering of Galaxies and Clusters
Information
Symposium - International Astronomical Union , Volume 161: Astronomy from Wide-Field Imaging , 1994 , pp. 664 - 666
Copyright
Copyright © Kluwer 1994 

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