Testing $f(R)$ dark energy model with the large scale structure

TL;DR

This paper examines $f(R)$ gravity models that replicate $\\Lambda$CDM background expansion, analyzing their large-scale structure formation and testing against observations using MCMC methods.

Contribution

It provides a detailed analysis of structure formation in $f(R)$ models with exact background mimicry of $\\Lambda$CDM, including observational constraints.

Findings

$f(R)$ models can match $\\Lambda$CDM background expansion.

Large-scale structure formation in $f(R)$ models is consistent with observations.

Constraints on $f(R)$ parameters are derived from current data.

Abstract

In this work, we further investigate the family of $f(R)$ dark energy models that can exactly mimic the same background expansion history as that of the $\Lambda$CDM model. We study the large scale structure in the $f(R)$ gravity using the full set cosmological perturbation equations. We investigate the structure formation in both the spatially flat and curved Universe. We also confront our model with the latest observations and conduct a Markov Chain Monte Carlo analysis on the parameter space.