Evolution of clusters in a hybrid hot dark matter universe

Mathematics – Logic

Scientific paper

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Cosmology, Dark Matter, Galactic Clusters, Galactic Evolution, Universe, Cosmic X Rays, Gravitational Effects, Power Spectra, Red Shift

Scientific paper

The evolution of clusters of galaxies in a cosmological model where the large-scale structure is formed by gravitational instability in a hot dark matter universe with initial adiabatic Harrsion-Zel'dovich fluctuations, but with a lower than usual normalization, is analyzed. The normalization of the power spectrum is possibly too low to form galaxies, so that small-scale structures may be formed by some other short-range process. The analysis is based on the statistics of peaks in a random Gaussian field and the spherical infall model. While the typical mass, virial temperature, and X-ray luminosity change little with redshift, the evolution of the comoving number density of clusters is dramatic. The evolution is especially severe for high values of the Hubble constant and for low values of the present number density of clusters (low normalizations).

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