Cosmological-model-independent tests for the distance-duality relation from Galaxy Clusters and Type Ia Supernova

Zhengxiang Li; Puxun Wu; Hongwei Yu

doi:10.1088/2041-8205/729/1/L14

paper

Cosmological-model-independent tests for the distance-duality relation from Galaxy Clusters and Type Ia Supernova

arXiv:1101.5255 · doi:10.1088/2041-8205/729/1/L14

Abstract

We perform a cosmological-model-independent test for the distance-duality (DD) relation $η (z) = D_{L} (z) (1 + z)^{- 2} / D_{A} (z)$ , where $D_{L}$ and $D_{A}$ are the luminosity distance and angular diameter distance respectively, with a combination of observational data for $D_{L}$ taken from the latest Union2 SNe Ia and that for $D_{A}$ provided by two galaxy clusters samples compiled by De Filippis {\it et al.} and Bonamente {\it et al.}. Two parameterizations for $η (z)$ , i.e., $η (z) = 1 + η_{0} z$ and $η (z) = 1 + η_{0} z / (1 + z)$ , are used. We find that the DD relation can be accommodated at $1 σ$ confidence level (CL) for the De Filippis {\it et al.} sample and at $3 σ$ CL for the Bonamente {\it et al.} sample. We also examine the DD relation by postulating two more general parameterizations: $η (z) = η_{0} + η_{1} z$ and $η (z) = η_{0} + η_{1} z / (1 + z)$ , and find that the DD relation is compatible with the results from the De Filippis {\it et al.} and the Bonamente {\it et al.} samples at $1 σ$ and $2 σ$ CLs, respectively. Thus, we conclude that the DD relation is compatible with present observations.

typos corrected, version published in APJL

Cosmological-model-independent tests for the distance-duality relation from Galaxy Clusters and Type Ia Supernova

Abstract

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