Testing the Distance-Duality Relation in the $R_h=ct$ Universe

J. Hu; F. Y. Wang

doi:10.1093/mnras/sty955

paper

Testing the Distance-Duality Relation in the $R_{h} = c t$ Universe

arXiv:1804.06606 · doi:10.1093/mnras/sty955

Abstract

In this paper, we test the cosmic distance duality (CDD) relation using the luminosity distances from joint light-curve analysis (JLA) type Ia supernovae (SNe Ia) sample and angular diameter distance sample from galaxy clusters. The $R_{h} = c t$ and $Λ$ CDM models are considered. In order to compare the two models, we constrain the CCD relation and the SNe Ia light-curve parameters simultaneously. Considering the effects of Hubble constant, we find that $η \equiv D_{A} (1 + z)^{2} / D_{L} = 1$ is valid at the 2 $σ$ confidence level in both models with $H_{0} = 67.8 \pm 0.9$ km/s/Mpc. However, the CDD relation is valid at 3 $σ$ confidence level with $H_{0} = 73.45 \pm 1.66$ km/s/Mpc. Using the Akaike Information Criterion (AIC) and the Bayesian Information Criterion (BIC), we find that the $Λ$ CDM model is very strongly preferred over the $R_{h} = c t$ model with these data sets for the CDD relation test.

arXiv comment11 pages, 4 figures, 2 tables, accepted for publication in MNRAS

Testing the Distance-Duality Relation in the $R_{h} = c t$ Universe

Abstract

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Testing the Distance-Duality Relation in the Rh​=ct Universe

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Testing the Distance-Duality Relation in the $R_{h} = c t$ Universe