Test of the Cosmic Distance Duality Relation (CDDR) using Galaxy Cluster Gas Mass Fraction and Supernova Data
Cosmic Distance Duality Relationship. Galaxy Cluster. Type Ia Supernovae (SNe Ia). Marcov Chain via Monte Carlo. Emcee.
In this dissertation, we will discuss a novel model-independent cosmological test for the cosmic distance duality relation (CDDR) using angular diameter (DA) distance measurements obtained via gas mass fraction (gMF) data from galaxy clusters and two sets of luminosity distances (DL) extracted from type Ia supernovae (SNe Ia) data, obtained by assuming the Hubble constant from the works of Riess et al. (H0,Riess) and Planck et al. (H0,Planck). We adopt two parameterizations for the possible redshift dependence of the CDDR and analyze them using Markov Chain via Monte Carlo (MCMC) with the emcee algorithm. We find that the SNe Ia sample, assuming H0,Planck, is consistent with the cosmic distance duality relation (CDDR), while the SNe Ia sample, assuming H0,Riess, presents a significant conflict.