Brans-Dicke gravity with a cosmological constant smoothes out $\Lambda$CDM tensions
Joan Sola, Adria Gomez-Valent, Javier de Cruz Perez, and Cristian, Moreno-Pulido

TL;DR
This paper demonstrates that Brans-Dicke gravity with a cosmological constant better fits current cosmological data than standard Lambda-CDM, resolving key tensions like the Hubble constant and matter fluctuation amplitude.
Contribution
It introduces and tests a Brans-Dicke gravity model with a cosmological constant against observational data, showing it alleviates existing cosmological tensions.
Findings
BD-ΛCDM model is favored over ΛCDM by data.
Resolves the H0 and σ8 tensions present in ΛCDM.
Mimics quintessence near current epoch.
Abstract
We analyze Brans-Dicke gravity with a cosmological constant, , and cold dark matter (BD-CDM for short) in the light of the latest cosmological observations on distant supernovae, Hubble rate measurements at different redshifts, baryonic acoustic oscillations, large scale structure formation data, gravitational weak-lensing and the cosmic microwave background under full Planck 2015 CMB likelihood. Our analysis includes both the background and perturbations equations. We find that BD-CDM is observationally favored as compared to the concordance CDM model, which is traditionally defined within General Relativity (GR). In particular, some well-known persisting tensions of the CDM with the data, such as the excess in the mass fluctuation amplitude and specially the acute -tension with the local measurements, essentially disappear…
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