Testing the cosmic distance duality with X-ray gas mass fraction and supernovae data

R. S. Goncalves; R. F. L. Holanda; J. S. Alcaniz

doi:10.1111/j.1745-3933.2011.01192.x

paper

Testing the cosmic distance duality with X-ray gas mass fraction and supernovae data

arXiv:1109.2790 · doi:10.1111/j.1745-3933.2011.01192.x

Abstract

In this paper we discuss a new cosmological model-independent test for the cosmic distance duality relation (CDDR), $η = D_{L} (L) (1 + z)^{- 2} / D_{A} (z) = 1$ , where $D_{A} (z)$ and $D_{L} (z)$ are the angular and luminosity distances, respectively. Using the general expression for X-ray gas mass fraction ( $f_{g a s}$ ) of galaxy clusters, $f_{g a s} \propto D_{L} D_{A}^{1/2}$ , we show that $f_{g a s}$ observations jointly with type Ia supernovae (SNe Ia) data furnish a validity test for the CDDR. To perform our analysis we use 38 $f_{g a s}$ measurements recently studied by two groups considering different assumptions to describe the clusters (La Roque {\it{et al.}} 2006 and Ettori {\it{et al.}} 2009) and two subsamples of SNe Ia distance luminosity extracted from the Union2 compilation. In our test we consider the $η$ parameter as a function of the redshift parameterized by two different functional forms. It is found that the La Roque {\it{et al.}} (2006) sample is in perfect agreement with the duality relation ( $η = 1$ ) whereas the Ettori {\it{et al.}} (2009) sample presents a significant conflict.

5 pages, 2 figures, 1 table, Letter to MNRAS (in press)

Testing the cosmic distance duality with X-ray gas mass fraction and supernovae data

Abstract

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