Cosmologicalmodelindependent Tests for the DistanceDuality Relation from Galaxy Clusters and Type Ia Supernova
Abstract
We perform a cosmologicalmodelindependent test for the distanceduality (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 cluster samples compiled by De Filippis et al. and Bonamente 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 1σ confidence level (CL) for the De Filippis et al. sample and at 3σ CL for the Bonamente 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 et al. and the Bonamente et al. samples at 1σ and 2σ CLs, respectively. Thus, we conclude that the DD relation is compatible with present observations.
 Publication:

The Astrophysical Journal
 Pub Date:
 March 2011
 DOI:
 10.1088/20418205/729/1/L14
 arXiv:
 arXiv:1101.5255
 Bibcode:
 2011ApJ...729L..14L
 Keywords:

 cosmic background radiation;
 distance scale;
 galaxies: clusters: general;
 supernovae: general;
 Xrays: galaxies: clusters;
 Astrophysics  Cosmology and Extragalactic Astrophysics;
 Astrophysics  Galaxy Astrophysics;
 General Relativity and Quantum Cosmology
 EPrint:
 typos corrected, version published in APJL