Bayesian Comparison of the Cosmic Duality Scenarios

Abstract

The cosmic distance duality relation (CDDR), D L (1+z) −2 /D A = η = 1, with D L and D A , being the luminosity and angular diameter distances, respectively, is a crucial premise in cosmological scenarios. Many investigations try to test CDDR through observational approaches, even some of these also consider a deformed CDDR, i.e., η = η(z). In this paper, we use type Ia supernovae luminosity distances and galaxy cluster measurements (their angular diameter distances and gas mass fractions) in order to perform a Bayesian model comparison between η(z) functions. We show that the data here used is unable to pinpoint, with a high degree of Bayesian evidence, which η(z) function best captures the evolution of CDDR.

On a possible cosmological evolution of galaxy cluster $Y_{\rm X}-Y_{\rm SZE}$ scaling relation

“…The Bayesian inference is a powerful statistical technique for parameter estimation and model selection extensively used in the study of Cosmology and Astronomy [58][59][60][61][62][63][64][65]. The basis of this theory is the Bayes's Theorem, which updates the probability of an event (or hypothesis), based on prior knowledge of conditions that might be related to the event in the light of newly available data (or information).…”