Astronomy and Astrophysics – Astrophysics
Scientific paper
2000-07-27
Mon.Not.Roy.Astron.Soc. 321 (2001) L7-L13
Astronomy and Astrophysics
Astrophysics
6 pages, 7 figures; replacement to match the published version
Scientific paper
10.1046/j.1365-8711.2001.04185.x
We show that the distribution of the sizes and temperatures of clusters can be used to constrain cosmological models. The size-temperature (ST) distribution predicted in a flat Gaussian cluster-abundance-normalized Omega_0=0.3 model agrees well with the fairly tight ST relation observed. A larger power-spectrum amplitude sigma_8 would give rise to a larger scatter about the ST relation as would a larger value of Omega_0 and/or long non-Gaussian high-density tails in the probability density function. For Gaussian initial conditions, the ST distribution suggests a constraint sigma_8 Omega_0^{0.26} \simeq 0.76. The ST relation is expected to get tighter at high redshifts. In the process, we derive a simple formula for the halo formation-redshift distribution for non-Gaussian models. We also suggest that the discrepancy between the naive zero-redshift ST relation and that observed may be due, at least in part, to the fact that lower-mass clusters form over a wider range of redshifts. An Appendix derives an equation for the formation-redshift distribution of halos.
Benson Andrew J.
Kamionkowski Marc
Mohr Joseph John
Verde Licia
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