Statefinder Parameter for Varying G in Three Fluid System

TL;DR

This paper investigates the effects of a varying gravitational constant G on the statefinder parameters within a flat FRW universe containing dark energy, dark matter, and radiation, considering both interacting and non-interacting scenarios.

Contribution

It introduces a model for analyzing the impact of a variable G on cosmological parameters in a three-fluid system with and without interactions.

Findings

Derived expressions for deceleration and statefinder parameters with variable G.

Analyzed the influence of fluid interactions on cosmological parameters.

Calculated statefinder parameters for constant and variable pressure cases.

Abstract

In this work, we have considered variable G in flat FRW universe filled with the mixture of dark energy, dark matter and radiation. If there is no interaction between the three fluids, the deceleration parameter and statefinder parameters have been calculated in terms of dimensionless density parameters which can be fixed by observational data. Also the interaction between three fluids has been analyzed due to constant $G$. The statefinder parameters also calculated in two cases: pressure is constant and pressure is variable.