paper

Testing the Distance-Duality Relation with Galaxy Clusters and Type Ia Supernovae

arXiv:1005.4458 · doi:10.1088/2041-8205/722/2/L233

Abstract

In this letter we propose a new and model-independent cosmological test for the distance-duality (DD) relation, η=D_{L}(z)(1+z)^{-2}/D_{A}(z)=1, where D_{L} and D_{A} are, respectively, the luminosity and angular diameter distances. For we consider two sub-samples of SNe type Ia taken from Constitution data (2009) whereas distances are provided by two samples of galaxy clusters compiled by De Fillipis et al. (2005) and Bonamente et al. (2006) by combining Sunyaev-Zeldovich effect (SZE) and X-ray surface brightness. The SNe Ia redshifts of each sub-sample were carefully chosen to coincide with the ones of the associated galaxy cluster sample (Δz<0.005) thereby allowing a direct test of DD relation. Since for very low redshifts, D_{A}(z) \approxeq D_{L}(z), we have tested the DD relation by assuming that is a function of the redshift parametrized by two different expressions: η(z) = 1 + η_{0}z and η(z) = 1 + η_{0}z/(1+z), where η_0 is a constant parameter quantifying a possible departure from the strict validity of the reciprocity relation (η_0=0). In the best scenario (linear parametrization) we obtain η_{0} = -0.28^{+ 0.44}_{- 0.44} (2σ, statistical + systematic errors) which is clearly incompatible with the duality-distance relation.

16 pages, 6 figures, Version accepted for publication in The Astrophysical Journal Letters

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