2mass-allsky

Measuring Ωm with the ROSAT Deep Cluster Survey

November 2001 • 2001ApJ...561...13B

Authors • Borgani, Stefano • Rosati, Piero • Tozzi, Paolo • Stanford, S. A. • Eisenhardt, Peter R. • Lidman, Chris • Holden, Bradford • Della Ceca, Roberto • Norman, Colin • Squires, Gordon

Abstract • 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 ergs s-1 cm-2 (RDCS-3) in the [0.5-2.0] keV energy band, with a high-redshift extension containing four clusters at 0.90<=z<=1.26 and brighter than Flim=1×10-14 ergs s-1 cm-2 (RDCS-1). We assume cosmological models to be specified by the matter density parameter Ωm, the rms fluctuation amplitude at the 8 h-1 Mpc scale σ8, and the shape parameter for the cold dark matter-like power spectrum Γ. Model predictions for the cluster mass function are converted into the X-ray luminosity function in two steps. First, we convert mass into intracluster gas temperature by assuming hydrostatic equilibrium. Then, temperature is converted into X-ray luminosity by using the most recent data on the LX-TX relation for nearby and distant clusters. These include the Chandra data for six distant clusters at 0.57<=z<=1.27. From RDCS-3 we find Ωm=0.35+0.13-0.10 and σ8=0.66+0.06-0.05 for a spatially flat universe with a cosmological constant, with no significant constraint on Γ (errors correspond to 1 σ confidence levels for three fitting parameters). Even accounting for both theoretical and observational uncertainties in the mass-X-ray luminosity conversion, an Einstein-de Sitter model is always excluded at far more than the 3 σ level. We also show that the number of X-ray-bright clusters in RDCS-1 at z>0.9 is expected from the evolution inferred at z<0.9 data.

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Gordon Squires

Senior Scientist