Abstract

This paper studies both Λ CDM and CDM models under the über gravity theory, named ü Λ CDM and üCDM 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 über characteristic parameter is z⊕=0.046-0.032+0.047 and z⊕=1.382-0.021+0.020 at 68% confidence level for ü Λ CDM and üCDM respectively. Although über gravity can successfully mimics the cosmological constant, we find that the H0 (z) diagnostic suggests the H tension is not alleviated. Finally, both models are statistically compared with Λ CDM through the Akaike and Bayesian information criteria. Both über gravity models and Λ CDM are equally preferred for most of the single samples, in particular, ü Λ CDM is not rejected by the CMB data. However, there is strong evidence against them for the joint analysis.