Evolution of the Cluster Abundance from the ROSAT Deep Cluster Survey

Mathematics – Logic

Scientific paper

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Scientific paper

We use results from the Rosat Deep Cluster Survey (RDCS, Rosati et al. 1998) to characterize the evolution of the cluster abundance out to redshift z≍ 0.8. Based on the Press--Schechter approach to follow the evolution of the mass--function and on an empirical prescription to convert masses into observed X--ray cluster fluxes, we obtain constraints on cosmological models. We apply a maximum--likelihood approach to the RDCS redshift-- and luminosity--distribution. Although the resulting constraints on Ω_0 are sensitive to the assumed X--ray luminosity--temperature relation, we find that a low--density Universe with Ω_0≍ 0.3--0.5 is in general to be preferred with respect to the Ω_0 = 1 case. A critical--density Universe would require a rather strong positive evolution of the L_X--T_X relation, which seems to be in contrast with current observations.

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