Nan Liang, Shuo Cao, Kai Liao, Zong-Hong Zhu
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.
View original:
http://arxiv.org/abs/1104.2497
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