A Consistent Test of the Distance-Duality Relation with Galaxy Clusters and Type Ia Supernave

Details A Consistent Test of the Distance-Duality Relation with Galaxy Clusters and Type Ia Supernave A Consistent Test of the Distance-Duality Relation with Galaxy Clusters and Type Ia Supernave

2011-04-13

arxiv.org/abs/1104.2497v2

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

5 pages, 3 figures, 1 table

Scientific paper

In this letter, we propose a new consistent method to revisit tests of the distance-duality (DD) relation which related angular diameter distances ($D_{A}$) to the luminosity distances ($D_{L}$) in a cosmology-independent way. In order to avoid any bias brought by redshift incoincidence between galaxy clusters and Type Ia Supernave (SNe Ia), as well as to ensure the integrity of the ADDs from galaxy clusters samples, we obtain the luminosity distance of one certain SN Ia point at the same redshift of the corresponding galaxy cluster by interpolating from the nearby SNe Ia. With the observational data at the same redshifts of the ADDs from the galaxy cluster sample for the spherical model and the corrected luminosity distances interpolated from the Union2 set, we find that $\eta \equiv {D_{L}}{(1+z)}^{-2}/{D_{A}}=1$ is satisfied within $2\sigma$ confidence level for various parameterizations of $\eta(z)$, which are more stringent than previous testing results with redshift bias. We conclude that the DD relation is compatible with current observations of galaxy clusters for the spherical model and the Union2 set of SNe Ia.

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