SIMBAD references

In this paper, we test the cosmic distance-duality (CDD) relation using the luminosity distances from joint light-curve analysis Type Ia supernovae (SNe Ia) sample and angular diameter distance sample from galaxy clusters. The R_h = ct and Λ cold dark matter (CDM) models are considered. In order to compare the two models, we constrain the CDD relation and the SNe Ia light-curve parameters simultaneously. Considering the effects of Hubble constant, we find that η ≡ D_A(1 + z)²/D_L = 1 is valid at the 2σ confidence level in both models with H₀= 67.8 ± 0.9 km ^–1s^–1 Mpc. However, the CDD relation is valid at 3σ confidence level with H₀= 73.45 ± 1.66 km ^–1s^–1Mpc. Using the Akaike Information Criterion and the Bayesian Information Criterion, we find that the ΛCDM model is very stongly preferred over the R_h = ct model with these data sets for the CDD relation test.