# COSMOLOGICAL-MODEL-INDEPENDENT TESTS FOR THE DISTANCE–DUALITY RELATION FROM GALAXY CLUSTERS AND TYPE Ia SUPERNOVA

@article{Li2011COSMOLOGICALMODELINDEPENDENTTF, title={COSMOLOGICAL-MODEL-INDEPENDENT TESTS FOR THE DISTANCE–DUALITY RELATION FROM GALAXY CLUSTERS AND TYPE Ia SUPERNOVA}, author={Zhengxiang Li and Puxun Wu and Hongwei Yu}, journal={The Astrophysical Journal Letters}, year={2011}, volume={729} }

We perform a cosmological-model-independent test for the distance–duality (DD) relation η(z) = DL(z)(1 + z)−2/DA(z), where DL and DA are the luminosity distance and angular diameter distance, respectively, with a combination of observational data for DL taken from the latest Union2 SNe Ia and that for DA provided by two galaxy cluster samples compiled by De Filippis et al. and Bonamente et al. Two parameterizations for η(z), i.e., η(z) = 1 + η0z and η(z) = 1 + η0z/(1 + z), are used. We find…

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