Mass-temperature relation of galaxy clusters: implications from the observed luminosity-temperature relation and X-ray temperature function

Abstract

We derive constraints on the mass-temperature relation of galaxy clusters from their observed luminosity-temperature relation and X-ray temperature function. Adopting the isothermal gas in hydrostatic equilibrium embedded in the universal density profile of dark matter halos, we compute the X-ray luminosity for clusters as a function of their hosting halo mass. We find that in order to reproduce the two observational statistics, the mass-temperature relation is very tightly constrained as T_{gas} = (1.5~2.0)keV (M_{vir}/10^{14}h_{70}^{-1}M_\odot)^{0.5~0.55}, and a simple self-similar evolution model (T_{gas} \propto M_{vir}^{2/3}) is strongly disfavored. In the cosmological model that we assume (a ΛCDM universe with Ω_0=0.3, λ_0=0.7 and h_{70}=1), the derived mass-temperature relation suggests that the mass fluctuation amplitude σ_8 is 0.7--0.8.

25 pages, 10 figures. Omission of scaling of 1/h**2 in several figures is corrected. Conclusions remain unchanged. ApJ 2003 June 10 issue, in press

References in corpus (22)

• The Structure of Cold Dark Matter Halos
• Profiles of dark haloes: evolution, scatter, and environment
• Mass function of dark matter halos
• Using the Evolution of Clusters to Constrain Omega
• Resolving the Structure of Cold Dark Matter Halos
• Properties of the Intracluster Medium in an Ensemble of Nearby Galaxy Clusters
• The Lx-T Relation and Temperature Function for Nearby Clusters Revisited
• The Lx-T Relation and Intracluster Gas Fractions of X-ray Clusters
• Density Profiles of Dark Matter Halo are not Universal
• Details of the mass--temperature relation for clusters of galaxies
• The Cluster Abundance in Flat and Open Cosmologies
• Semi-analytic predictions for statistical properties of X-ray clusters of galaxies in cold dark matter universes
• The X-ray virial relations for relaxed lensing clusters observed with Chandra
• Evidence for a non-zero Lambda and a low matter density from a combined analysis of the 2dF Galaxy Redshift Survey and Cosmic Microwave Background Anisotropies
• Structure of Dark Matter Halos From Hierarchical Clustering
• A New Measurement of the X-ray Temperature Function of Clusters of Galaxies
• X-ray gas density profile of clusters of galaxies from the universal dark matter halo
• Constraints on the fluctuation amplitude and density parameter from X-ray cluster number counts
• Gravitating mass profiles of nearby galaxy clusters and relations with X-ray gas temperature, luminosity and mass
• Cluster abundance normalization from observed mass-temperature relation
• Gas density and X-ray surface brightness profiles of clusters of galaxies from dark matter halo potentials: beyond the isothermal beta model
• Lensing Constraints on the Cores of Massive Dark Matter Halos

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