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Session 37 - Clusters of Galaxies - X-Rays.
Display session, Tuesday, January 14
Metropolitan Ballroom,

[37.04] Semi-Analytical Predictions of ROSAT X-Ray Cluster Abundances for a Wide Range of Cosmological Models

B. Mathiesen, A. E. Evrard (Univ. of Michigan)

\def\gtrsim\mathrel\hbox\rlap\hbox\lower4pt\hbox\sim\hbox> We examine the likelihoods of different cosmological models by comparing semi-analytical predictions of X-ray cluster number counts to observational data compiled from the ROSAT all-sky survey (RASS). We model the cluster abundance as a function of mass and redshift using a Press-Schechter distribution of dark matter halos (1974). By assuming that the luminosity-mass relationship for clusters follows a power law form we convert the underlying Press-Schechter abundance into a distribution in luminosity and redshift. We then numerically integrate the abundance function to obtain statistical descriptors of the cluster population such as the logN--logS.

We examine a large number of models using this method, spanning the following ranges of cosmological parameters: 0.05 \leq Ømega_0 \leq 1.0 and spectral index n = 0, -1, -2 for both open (\lambda_0 = 0) and flat (\lambda_0 + Ømega_0 = 1) models. In addition we look at all of the above models under a wide range in the free parameter s, which measures the degree of positive evolution with redshift in the X-ray luminosity. The results demonstrate a strong dependence on Ømega_0 and s, with lesser importance given to \lambda_0 and n, in determining the logN--logS. A low-density universe clearly prefers a small degree of evolution in the cluster population, overproducing clusters relative to the observed numbers for s \gtrsim 3. Likewise, a universe with Ømega_0 = 1 contains fewer clusters than is observed if s is small, but does quite well if there is strong evolution.

Program listing for Tuesday