Bayesian Model Comparison of $R_h=ct$ versus $\Lambda$CDM using HII galaxy Hubble diagram

Abstract

We complement a recent analysis comparing $R_{\mathrm{h}}=ct$ with $\Lambda$CDM/$w$CDM using HII galaxies and giant extragalactic HII regions, by carrying out Bayesian model comparison. For this purpose, we calculate the Bayes factors for $R_{\mathrm{h}}=ct$ compared to flat $\Lambda$CDM/$w$CDM using the same dataset. When we use uniform priors on cosmological parameters, we find that the Bayes factors are close to 1, implying that $R_{\mathrm{h}}=ct$ is equally favored compared to $\Lambda$CDM/$w$CDM. However, when we use normal priors on cosmological parameters based on Planck cosmology, we find that $R_{\mathrm{h}}=ct$ is strongly favored over flat $\Lambda$CDM, while $R_{\mathrm{h}}=ct$ is marginally favored over flat $w$CDM.

9 pages, 3 figures. Accepted for publication in Physics Letters A

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