Abstract
Clusters of galaxies are rare objects and as such, their properties are particularlysensitive to the underlying density fluctuations. Therefore, the cluster populationprovides very stringent constraints on models of galaxy formation. We here showhow self-consistent modeling of x-ray galaxy clusters can be used to constrainthe power spectrum of the initial density perturbations assumed to seed galaxyformation. We also demonstrate that the combined knowledge of the redshiftdistribution of x-ray selected galaxy clusters and that of the x-ray luminosity-temperaturecorrelation at high redshifts offers a powerful method to constrainthe mean density of the universe. Considering its large effective area, SODARTaboard SPECTRUM-RG is extremely well suited to temperature measurement ofdistant clusters and the Ω0 test we propose is well within the capabilities of thenear future x-ray telescopes.
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