2018/04/17 by Jian Hu, J. Hu, F. Y. Wang
Physics and Astronomy · #Akaike information criterion #Astrophysics #Bayesian information criterion #Cold dark matter #Cosmology #Cosmology and Gravitation Theories #Dark energy #Galaxies: Formation, Evolution, Phenomena #Galaxy #Gamma-ray bursts and supernovae #Hubble's law #Luminosity #Physics #Shape of the universe #Statistics #Universe #astro-ph.CO
paper · pdf · doi:10.1093/mnras/sty955
11 pages, 4 figures, 2 tables, accepted for publication in MNRAS
openalex publication_date 2018/04/17 · arxiv created 2018/04/18 · arxiv updated 2018/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 Rh = 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 ≡ DA(1 + z)2/DL = 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 Rh = ct model with these data sets for the CDD relation test.