A test of cosmic distance duality relation using SPT-SZ galaxy clusters, Type Ia supernovae, and cosmic chronometers
Kamal Bora, S. Desai
Abstract
Abstract We carry out a test of the cosmic distance duality relation using a sample of 52 SPT-SZ clusters, along with X-ray measurements from XMM-Newton. To carry out this test, we need an estimate of the luminosity distance (D L ) at the redshift of the cluster. For this purpose, we use three independent methods: directly using D L from the closest Type Ia Supernovae from the Union 2.1 sample, non-parametric reconstruction of D L using the same Union 2.1 sample, and finally using H(z) measurements from cosmic chronometers and reconstructing D L using Gaussian Process regression. We use four different functions to characterize the deviations from CDDR. All our results for these (4 × 3) analyses are consistent with CDDR to within 1σ.