Can $f(R)$ gravity relieve $H_0$ and ${\sigma }_8$ tensions?

Abstract

To investigate whether $f(R)$ gravity can relieve current $H_0$ and ${\sigma }_8$ tensions, we constrain the Hu-Sawicki $f(R)$ gravity with Planck-2018 cosmic microwave background and redshift space distortions observations. We find that this model fails to relieve both $H_0$ and ${\sigma }_8$ tensions, and that its two typical parameters ${\log }_{10}{f}_{R0}$ and $n$ are insensitive to other cosmological parameters. Combining the cosmic microwave background, baryon acoustic oscillations, Type Ia supernovae, cosmic chronometers with redshift space distortions observations, we give our best constraint ${\log }_{10}{f}_{R0}<-6.75$ at the $2\sigma$ confidence level.

9 pages, 7 figures. Accepted in EPJC

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• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• Observational Constraints on $f(T)$ Gravity from Model-Independent Data
• New late-time constraints on $f(R)$ gravity
• Hubble tension in a nonminimally coupled curvature-matter gravity model
• Pantheon+ constraints on dark energy and modified gravity: An evidence of dynamical dark energy
• Cosmological Distances And Hubble Tension In Einstein-Cartan Theory
• Is cosmological data suggesting a nonminimal coupling between matter and gravity?
• Fast simulation mapping: from standard to modified gravity cosmologies using the bias assignment method
• Testing Exponential $f(R)$ Gravity with CMB, DESI-DR2, and Supernova Data
• Density perturbations in nonminimally coupled gravity: symptoms of Lagrangian density ambiguity
• Toward testing gravity with LSST using $E_G$