Strong lensing systems and galaxy cluster observations as probe to the cosmic distance duality relation

  title={Strong lensing systems and galaxy cluster observations as probe to the cosmic distance duality relation},
  author={Rodrigo F.L. Holanda and F. S. Lima and Akshay Rana and Deepak Jain},
  journal={The European Physical Journal C},
In this paper, we use large scale structure observations to test the redshift dependence of cosmic distance duality relation (CDDR), DL(1+z)-2/DA=η(z)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$D_\mathrm{L}(1+z)^{-2}/D_\mathrm{A}=\eta (z)$$\end{document}, with DL\documentclass[12pt]{minimal} \usepackage{amsmath… 
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