Testing X-ray Measurements of Galaxy Cluster Gas Mass Fraction Using the Cosmic Distance-Duality Relation

Abstract

We propose a consistency test of some recent X-ray gas mass fraction ($f_{\mathrm{gas}}$) measurements in galaxy clusters, using the cosmic distance-duality relation, $η_{\rm{theory}}=\dl(1+z)^{-2}/\da$, with luminosity distance ($\dl$) data from the Union2 compilation of type Ia supernovae. We set ${\eta }_{\mathrm{theory}}\equiv 1$, instead of assigning any redshift parameterizations to it, and constrain the cosmological information preferred by $f_{\mathrm{gas}}$ data along with supernova observations. We adopt a new binning method in the reduction of the Union2 data, in order to minimize the statistical errors. Four data sets of X-ray gas mass fraction, which are reported by Allen et al. (2 samples), LaRoque et al. and Ettori et al., are detailedly analyzed against two theoretical modelings of $f_{\mathrm{gas}}$. The results from the analysis of Allen et al.'s samples prove the feasibility of our method. It is found that the preferred cosmology by LaRoque et al.'s sample is consistent with its reference cosmology within 1-$\sigma$ confidence level. However, for Ettori et al.'s $f_{\mathrm{gas}}$ sample, the inconsistency can reach more than 3-$\sigma$ confidence level and this dataset shows special preference to an $\Ol=0$ cosmology.

11 pages, 3 figures, 2 tables

References in corpus (14)

• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• A 3% Solution: Determination of the Hubble Constant with the Hubble Space Telescope and Wide Field Camera 3
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Cosmological Parameters from Observations of Galaxy Clusters
• Testing X-ray Measurements of Galaxy Clusters with Cosmological Simulations
• X-ray and Sunyaev-Zel'dovich Effect Measurements of the Gas Mass Fraction in Galaxy Clusters
• Testing the Distance-Duality Relation with Galaxy Clusters and Type Ia Supernovae
• Cosmological-model-independent tests for the distance-duality relation from Galaxy Clusters and Type Ia Supernova
• Constraints on Distance Duality Relation from Sunyaev Zel'dovich Effect and Chandra X-ray measurements
• Morphology of Galaxy Clusters: A Cosmological Model-Independent Test of the Cosmic Distance-Duality Relation
• Testing the cosmic distance duality with X-ray gas mass fraction and supernovae data
• Probing the Cosmic Distance Duality Relation with the Sunyaev-Zeldovich Effect, X-rays Observations and Supernovae Ia
• Constraining $H_0$ from Sunyaev-Zel'dovich effect, Galaxy Clusters X-ray data, and Baryon Oscillations
• The Universal Gas Mass Fraction in Clusters of Galaxies

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