Characterizing the linear growth rate of cosmological density perturbations in an f(R) model

TL;DR

This paper analyzes the linear growth rate of cosmological density perturbations in an f(R) gravity model, providing an analytic formula and exploring constraints from future weak lensing surveys.

Contribution

It introduces a simple analytic formula for the growth rate in the scalar-tensor regime of an f(R) model and assesses potential observational constraints.

Findings

Growth rate characterized by a simple analytic formula

Potential to constrain the Compton wavelength scale with future surveys

Numerical and analytical agreement in the scalar-tensor regime

Abstract

We investigate the linear growth rate of cosmological matter density perturbations of a viable f(R) model both numerically and analytically. We find that the growth rate in the scalar-tensor regime can be characterized by a simple analytic formula. We also investigate a prospect of constraining the Compton wavelength scale of the f(R) model with a future weak lensing survey.