Statefinder Parameters for Different Dark Energy Models with Variable G Correction in Kaluza-Klein Cosmology

TL;DR

This paper analyzes various dark energy models within Kaluza-Klein cosmology, incorporating variable gravitational constant G, and computes key parameters like deceleration and statefinder to distinguish these models.

Contribution

It introduces a method to calculate statefinder and EoS parameters for multiple dark energy models with variable G in Kaluza-Klein cosmology, using observable parameters.

Findings

Derived expressions for statefinder parameters in terms of observable quantities.

Compared different dark energy models within the Kaluza-Klein framework.

Provided insights into the evolution of the universe with variable G corrections.

Abstract

In this work, we have calculated the deceleration parameter, statefinder parameters and EoS parameters for different dark energy models with variable $G$ correction in homogeneous, isotropic and non-flat universe for Kaluza-Klein Cosmology. The statefinder parameters have been obtained in terms of some observable parameters like dimensionless density parameter, EoS parameter and Hubble parameter for holographic dark energy, new agegraphic dark energy and generalized Chaplygin gas models.