Statefinder analysis of scale-dependent cosmology

TL;DR

This paper analyzes the statefinder parameters in a scale-dependent gravity cosmological model, deriving analytical expressions and comparing them with standard models to understand their behavior at moderate redshifts.

Contribution

It introduces analytical expressions for statefinder parameters in a scale-dependent gravity model, enhancing numerical convergence and comparison with $ ext{Lambda}$CDM.

Findings

Derived analytical statefinder expressions for the model

Improved numerical convergence of solutions

Compared model predictions with $ ext{Lambda}$CDM at moderate redshift

Abstract

We study the statefinder parameters of a cosmological model based on scale-dependent gravity. The effective Einstein field equations come from an average effective action. From the dynamical system, we derive analytical expressions that improve the convergence of the numerical solutions. We determine the statefinder parameters for moderate redshift and compare them with well-known alternatives to $\Lambda$CDM.