Evolution of the galaxy cluster temperature function.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Galaxies: Clusters Of, Cosmology: Theory, X-Rays: Galaxies

Scientific paper

The evolution of the cluster temperature function in various density universes, using the mass density fluctuation field model which can explain the nearby cluster temperature function, has been examined. We have found that the amplitude of the cluster temperature function increases with increasing cluster redshift, while the amplitude of the cluster mass function is a monotonically decreasing function of the redshift at the same time. The increase in the amplitude is more significant for lower temperature clusters and in lower density universes in general. However, in a {OMEGA}_0_=0.1 universe, the increase of the amplitude is more significant in high temperature part up to a redshift of 2. These difference can be used as a good tool to discriminate between different density universes. We predict that plenty of compact, high surface mass density clusters, exist at high redshifts in low density universes. Since the compactness of the clusters relates to the gravitational lensing power of the clusters, this difference between high and low density universe models can be distinguished using gravitational lensing statistics.

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