Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measuring $\Omega_m$ with the ROSAT Deep Cluster Survey   We analyze the ROSAT Deep Cluster Survey (RDCS) to derive cosmological
constraints from the evolution of the cluster X-ray luminosity distribution.
The sample contains 103 galaxy clusters out to z=0.85 and flux-limit Flim=3
10^{-14} cgs (RDCS-3) in the [0.5-2.0] keV energy band, with a high-z extension
containing four clusters at 0.90<z<1.26 and F>1 10^{-14} cgs (RDCS-1). Model
predictions for the cluster mass function are converted into the X-ray
luminosity function in two steps. First we convert mass into intra-cluster gas
temperature by assuming hydrostatic equilibrium. Then temperature is converted
into X-ray luminosity by using the most recent data on the Lx-T relation for
nearby and distant clusters. These include the Chandra data for seven distant
clusters at 0.57<z<1.27. From RDCS-3 we find \Omega_m=0.35+/-0.12 and
\sigma_8=0.66+/-0.06 for a spatially flat Universe with cosmological constant,
with no significant constraint on \Gamma . Even accounting for theoretical and
observational uncertainties in the mass/X-ray luminosity conversion, an
Einstein-de-Sitter model is always excluded at far more than the 3sigma level.

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The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom