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

Abstract

{In this paper, we use large scale structure observations to test the redshift dependence of cosmic distance duality relation (CDDR), $D_{\mathrm{L}}(1+z{)}^{-2}/D_{\mathrm{A}}=\eta (z)$}, with $D_{\mathrm{L}}$ and $D_{\mathrm{A}}$, being the luminosity and angular diameter distances, respectively. In order to perform the test, the following data set are considered: strong lensing systems and galaxy cluster measurements (gas mass fractions). No specific cosmological model is adopted, only a flat universe is assumed. { By considering two $\eta (z)$ parametrizations, It is observed that the CDDR remain redshift independent within $1.5\sigma$ which is in full agreement with other recent tests involving cosmological data}. It is worth to comment that our results are independent of the baryon budget of galaxy clusters.

7 pages, two figs, one table, EPJC Accepted

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• Testing the Distance Duality Relation with Cosmological Observations at high Redshift using Artificial Neural Network
• A model-independent test of speed of light variability with cosmological observations