Abstract
Abstract Galaxy clusters are good targets for examining our understanding of cosmology. Apart from numerical simulations and gravitational lensing, X-ray observation is the most common and conventional way to analyze the gravitational structures of galaxy clusters. Therefore, it is valuable to have simple analytical relations that can connect the observed distribution of the hot, X-ray-emitting gas to the structure of the dark matter in the clusters as derived from simulations. In this article, we apply a simple framework that can analytically connect the hot gas empirical parameters with the standard parameters in the cosmological cold dark matter model. We have theoretically derived two important analytic relations, r s ≈ 3 r c and ρ s ≈ 9 β kT / 8 π Gm g r c 2 , which can easily relate the dark matter properties in galaxy clusters with the hot gas properties. This can give a consistent picture describing gravitational astrophysics for galaxy clusters by the hot gas and cold dark matter models.
Highlights
Analyzing galaxy clusters is an important way to study the gravitational physics and structure formation in cosmology
We have applied a simple framework describing the gravitational astrophysics in galaxy clusters
We have derived two important analytic relations that ca√n connect the parameters of cluster hot gas with the parameters of the cold dark matter (CDM) model: rs ≈ 3rc and ρs ≈ 9βkT /8πGmgrc2
Summary
Analyzing galaxy clusters is an important way to study the gravitational physics and structure formation in cosmology. X-ray observation of the hot gas is the most conventional way to study galaxy clusters, which can tell us about the hot gas distribution and probe the dark matter content. Current X-ray observations can accurately measure the brightness profiles of hot gas in many galaxy clusters (Reiprich & Bohringer 2002; Chen et al 2007; Cavagnolo et al 2009). The standard framework of the hot gas analysis (the hot gas framework) can probe the dark matter content based on these parameters (Reiprich & Bohringer 2002; Chen et al 2007). Where ρs and rs are the scale density and scale radius of the dark matter density respectively It seems that there is no trivial relation connecting the parameters obtained from the hot gas framework with that obtained from the CDM model (e.g. the relation between rc and rs). The resultant relations can provide an easy way to connect the empirical data from X-ray observations to the theories in the CDM model
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