Reconstruction of f(R) gravity models from observations

TL;DR

This paper discusses how future precise large scale structure observations can enable the reconstruction of general f(R) gravity models, which are essential for understanding cosmic acceleration.

Contribution

It presents a method to reconstruct f(R) gravity models from observational data, emphasizing the potential of upcoming measurements to specify these models accurately.

Findings

Reconstruction of f(R) models is feasible with 5% accuracy large scale structure data.

Current lack of first principles necessitates observational approaches.

Future observations can specify general f(R) models effectively.

Abstract

We investigate the method for the reconstruction of f(R) gravity models both from the background evolution observations and from the large scale structure measurements. Due to the lack of the first principles, one needs to rely on the observations to build the $f(R)$ gravity models. We show that the general $f(R)$ models can be specified if the 5\% accuracy level large scale structure formation observations will be available in the near future.