Measuring Omega_m using clusters evolution

Abstract

The constraints obtained by several authors (Eke et al. 1998; Henry 2000) on the estimated values of ${\Omega }_{\mathrm{m}}$, $n$ and ${\sigma }_8$ are revisited in the light of recent theoretical developments: 1) new theoretical mass functions; 2) a more accurate mass-temperature relation, also determined for arbitrary ${\Omega }_{\mathrm{m}}$ and ${\Omega }_{\mathrm{\Lambda }}$. I re-derive the X-ray Temperature Function (XTF), similarly to Henry (2000) and Eke et al. (1999), re-obtaining the constraints on ${\Omega }_{\mathrm{m}}$, $n$, ${\sigma }_8$. The result shows that changes in the mass function and M-T relation produces an increase in ${\Omega }_{\mathrm{m}}$ of $\simeq 20$ and similar results in ${\sigma }_8$ and $n$.

13 pages, 3 figs

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