Model comparison of $$\Lambda $$CDM vs $$R_h=ct$$ using cosmic chronometers

Singirikonda, Haveesh and Desai, Shantanu (2020) Model comparison of $$\Lambda $$CDM vs $$R_h=ct$$ using cosmic chronometers. The European Physical Journal C, 80 (8). ISSN 1434-6044

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Abstract

In 2012, Bilicki and Seikel (Mon Not R Astron Soc 425:1664, 2012) showed that H(z) data reconstructed using Gaussian Process Regression from cosmic chronometers and baryon acoustic oscillations, conclusively rules out the Rh= ct model. These results were disputed by Melia and collaborators in two different works (Melia and Maier in Mon Not R Astron Soc 432:2669, 2013; Melia and Yennapureddy in JCAP 2018:034, 2018), who showed using both an unbinned analysis and Gaussian Process reconstructed H(z) data from chronometers, that Rh= ct is favored over Λ CDM model. To resolve this imbroglio, we carry out model comparison of Λ CDM versus Rh= ct by independently reproducing the above claims using the latest chronometer data. We perform model selection between these two models using Bayesian model comparison. We find that no one model between Λ CDM and Rh= ct is decisively favored when uniform priors on Λ CDM parameters are used. However, if we use priors centered around the Planck best-fit values, then Λ CDM is very strongly preferred over Rh= ct.

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