Constraining uber gravity with recent observations and studying the H₀ problem

This paper studies both Lambda CDM and CDM models under the uber gravity theory, named u Lambda CDM and uCDM respectively. We report bounds over their parameter phase-space using several cosmological data, in particular, the recent Pantheon+ sample. Based on the joint analysis, the best fit value of the uber characteristic parameter is z(circle plus)=0.046(-0.032)(+0.047) and z(circle plus)=1.382(-0.021)(+0.020) at 68% confidence level for u Lambda CDM and uCDM respectively. Although uber gravity can successfully mimics the cosmological constant, we find that the H0(z) diagnostic suggests the H-0 tension is not alleviated. Finally, both models are statistically compared with Lambda CDM through the Akaike and Bayesian information criteria. Both uber gravity models and Lambda CDM are equally preferred for most of the single samples, in particular, u Lambda CDM is not rejected by the CMB data. However, there is strong evidence against them for the joint analysis.