This paper studies both ΛCDM and CDM models under the \"uber gravity theory, named \"uΛCDM 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⊕=0.046−0.032+0.047 and z⊕=1.382−0.021+0.020 at 68\% confidence level for \"uΛCDM and \"uCDM respectively. Although \"uber gravity can successfully mimics the cosmological constant, we find that the H0(z) diagnostic suggests the H0 tension is not alleviated. Finally, both models are statistically compared with ΛCDM through the Akaike and Bayesian information criteria. Both \"uber gravity models and ΛCDM are equally preferred for most of the single samples, in particular, \"uΛCDM is not rejected by the CMB data. However, there is strong evidence against them for the joint analysis.
@article{arxiv.2301.07044,
title = {Constraining uber gravity with recent observations and studying the $H_0$ problem},
author = {Gustavo A. Concha Valdez and Claudia Quintanilla and Miguel A. García-Aspeitia and A. Hernández-Almada and V. Motta},
journal= {arXiv preprint arXiv:2301.07044},
year = {2023}
}