Statefinder hierarchy of bimetric and galileon models for concordance cosmology

TL;DR

This paper applies the Statefinder hierarchy method to distinguish between various modified gravity models and { extLambda}CDM in cosmology, demonstrating that certain Statefinder parameters effectively differentiate these models based on late-time universe expansion.

Contribution

It introduces the use of the Statefinder hierarchy to compare bimetric, galileon, and DGP models, highlighting S2 as a key discriminant for dark energy models.

Findings

Statefinder hierarchy can distinguish dark energy models from { extLambda}CDM.

Statefinder S2 effectively discriminates between modified gravity and standard cosmology.

Comparison between bimetric and DGP models shows distinct signatures in Statefinder parameters.

Abstract

In this paper, we use Statefinder hierarchy method to distinguish between bimetric theory of massive gravity, galileon modified gravity and DGP models applied to late time expansion of the universe. We also carry out comparison between bimetric and DGP models using Statefinder pairs {r, s} and {r, q}. We show that statefinder diagnostic can differentiate between {\Lambda}CDM and above mentioned cosmological models of dark energy, and finally show that Statefinder S2 is an excellent discriminant of {\Lambda}CDM and modified gravity models.