Cosmology Independent Measurement of the Gas Mass Fraction Using Chandra X-ray and Sunyaev-Zel'dovich Effect Measurements of High Redshift Clusters

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Galaxy Clusters - Cosmology

Scientific paper

We present a joint Chandra and Sunyaev Zel'dovich Array (SZA) analysis method to determine the gas mass fraction independent of cosmology and demonstrate on Abell 2204. The advantage of using X-ray and Sunyaev Zel'dovich Effect observations is that it allows us to directly determine the angular diameter distance. We use a generalized form of the Navarro-Frenk-White (NFW) dark matter distribution together with a polytropic model for the hot plasma density, to determine an analytical solution for the density and temperature profiles. We then use these models to obtain the cluster mass of Abell 2204 using a Monte Carlo Markov Chain technique, and produce good fits at large radii. This is the first steps towards a measurement of the gas mass fraction as a function of redshift that can be used for the Allen et. al. (2008) method to constrain dark energy.

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