• DOI:10.1088/2041-8205/729/1/L14
• Corpus ID: 118628003

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}
}

• Zhengxiang Li, Puxun Wu, Hongwei Yu
• Published 27 January 2011
• Physics
• The Astrophysical Journal Letters

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 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) = η0 + η1z and η(z) = η0 + η1z/(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.