The cluster abundance in double inflation models.

Physics

Scientific paper

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Clusters Of Galaxies: Inflationary Universe, Clusters Of Galaxies: Space Distribution, Large-Scale Structure: Universe

Scientific paper

The Press-Schechter formalism is used to derive the mass function of galaxy clusters. The author considers a typical double inflation perturbation 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, the author obtains a reasonable fit both to the amplitude and to the slope of the X-ray temperature function. In the considered model the cluster abundance diminishes strongly with redshift.

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