Modified gravity for surveys

TL;DR

This paper introduces a new parameterization for the dark energy equation of state that closely mimics $f(R)$ gravity models, facilitating their testing against observational data in cosmological surveys.

Contribution

A novel EoS parameterization that accurately reproduces $f(R)$-like evolution and can be efficiently used in surveys to test modified gravity models.

Findings

Achieves 0.5-0.8% accuracy in reproducing $f(R)$ evolution.

Can represent various viable $f(R)$ models.

Suitable for implementation in cosmological surveys.

Abstract

We present a new parameterization for the equation of state (EoS) $\omega_X=P_X/\rho_X$, which can reproduce a $f(R)$-like evolution with a precision between $[0.5\%-0.8\%]$ over the numerical solutions. Also, our proposal can render a variety of popular $f(R)$ models that are considered as viable candidates for the cosmic late time acceleration. By using observational data from baryonic acoustic oscillations, supernovae and cosmic chronometers we investigate the constraints on the new EoS parameters. This proposal set a EoS formulation which can be used in an efficient way and makes a good candidate to be implemented in a variety of surveys in order to test the $f(R)$ generic behaviour.