Testing the gas mass density profile of galaxy clusters with distance duality relation

Abstract

In this paper, assuming the validity of distance duality relation, $\eta =D_L(z)(1+z{)}^{-2}/D_A(z)=1$, where $D_A(z)$ and $D_L(z)$ are the angular and the luminosity distance respectively, we explore two kinds of gas mass density profiles of clusters: the isothermal $\beta$ model and the non-isothermal double-$\beta$ model. In our analysis, performed on 38 massive galaxy clusters observed by \textit{Chandra} (within the redshift range of $0.14<z<0.89$), we use two types of cluster gas mass fraction data corresponding to different mass density profiles fitted to the X-ray data. Using two general parameterizations of $\eta (z)$ (phenomenologically allowing for distance duality violation), we find that the non-isothermal double-$\beta$ model agrees better with the distance duality relation, while the isothermal $\beta$ model tends to be marginally incompatible with the Etherington theorem at 68.3% CL. However, current accuracy of the data does not allow to distinguish between the two models for the gas-density distribution at a significant level.

7 pages, 6 figures, accepted for publication in MNRAS

References in corpus (7)

• Cosmology and Astrophysics from Relaxed Galaxy Clusters II: Cosmological Constraints
• X-ray and Sunyaev-Zel'dovich Effect Measurements of the Gas Mass Fraction in Galaxy Clusters
• Cosmology with Strong Lensing Systems
• Constraints on Distance Duality Relation from Sunyaev Zel'dovich Effect and Chandra X-ray measurements
• Testing power-law cosmology with galaxy clusters
• New Constraints on the Variable Equation of State Parameter from X-Ray Gas Mass Fractions and SNe Ia
• Updated reduced CMB data and constraints on cosmological parameters

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