Variable G correction to statefinder parameters of dark energy

TL;DR

This paper investigates how a time-varying gravitational constant G(t) affects the statefinder parameters across four dark energy models, providing insights into the dynamic nature of dark energy and gravity.

Contribution

It introduces a correction to the statefinder parameters accounting for variable G in four distinct dark energy models, expanding the understanding of dark energy diagnostics.

Findings

Derived G(t) corrections for each dark energy model

Analyzed impact of G variability on cosmological diagnostics

Enhanced the characterization of dark energy models with variable G

Abstract

Motivated by several observational and theoretical developments concerning the variability of Newton's gravitational constant with time $G(t)$, we calculate the varying $G$ correction to the statefinder parameters for four models of dark energy namely interacting dark energy, holographic dark energy, new-agegraphic dark energy and generalized Chaplygin gas.