Testing the distance-duality relation in the Rh = ct universe

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 Lambda 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 eta = D-A(1 + z)(2)/D-L = 1 is valid at the 2 sigma confidence level in both models with H-0 = 67.8 +/- 0.9 km(-1)s(-1) Mpc. However, the CDD relation is valid at 3 sigma confidence level with H-0= 73.45 +/- 1.66 km(-1)s(-1)Mpc. Using the Akaike Information Criterion and the Bayesian Information Criterion, we find that the Lambda CDM model is very stongly preferred over the R-h = ct model with these data sets for the CDD relation test.