Analyzing the $H_0$ tension in $F(R)$ gravity models

TL;DR

This paper investigates the Hubble constant tension within $F(R)$ gravity models, using observational data to assess how these models can explain both early inflation and late acceleration, and how data sets influence $H_0$ estimates.

Contribution

It introduces and tests exponential and power-law $F(R)$ gravity models with EDE, confronting them with diverse observational data to analyze their impact on the $H_0$ tension.

Findings

$H_0$ estimates range from 68 to 70.3 km/s/Mpc depending on data sets.

Models can describe both inflationary and late-time acceleration epochs.

Data set choice significantly affects the estimated $H_0$ value.

Abstract

The Hubble constant tension problem is analysed in the framework of a class of modified gravity, the so-called $F(R)$ gravity. To do so, we explore two models: an exponential and a power-law $F(R)$ gravities, which includes an early dark energy (EDE) term in the latter. These models can describe both an early time inflationary epoch and the late time accelerating expansion of the universe. We confront both models with recent observational data including the Pantheon Type Ia supernovae sample, the latest measurements of the Hubble parameter $H(z)$ from differential ages of galaxies (cosmic chronometers) and separately from baryon acoustic oscillations. Standard rulers data set from the Cosmic Microwave Background radiation are also included in our analysis. The estimations of the Hubble constant appear to be essentially depending on the set of observational data and vary in the range from 68 to 70{.}3 km\,/(s$\cdot$Mpc). The fits of the other free parameters of the models are also obtained, revealing interesting consequences.