Evolution of the hot gas cores of clusters of galaxies, n/theta/ counts and anisotropy of the cosmic background radiation

Mathematics – Logic

Scientific paper

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Anisotropy, Cosmology, Galactic Clusters, Galactic Evolution, High Temperature Gases, Relic Radiation, Background Radiation, Diameters, Microwaves, Red Shift

Scientific paper

The use of n(theta) diagrams expressing the relationship between object number and angular diameter in tracing the evolution of the hot cores of clusters of galaxies is discussed along with the possible contributions of measurements of the anisotropies induced by the hot cores in the cosmic microwave background. The n(theta) relation is calculated for various Friedmann and flat space-times as a function of the cosmological density parameter, the direction of core size evolution and the redshift of cluster birth. It is found that a finite spread in the ages of the cluster cores does not change the relation, providing that most clusters were born at redshifts greater than about 2. Spreading in cluster sizes is shown to affect significantly the number-diameter relation, although some important features remain which provide direct information on cluster evolution. The cosmological model employed is also shown to have little effect on the relation. A rather large number of objects is found to be available for observations up to a given redshift, amounting to 10,000 to 100,000 objects for a redshift of 3. Results also show that the background microwave anisotropy may be dominated by the cluster cores at scales of several arcmin, so that measurements of the anisotropy may provide information equivalent to that of the n(theta) diagram.

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