FRW Cosmology with Variable G and Lambda

TL;DR

This paper explores a flat FRW cosmological model with variable gravitational and cosmological constants, analyzing its parameters and distances for different matter types, and examining statefinder parameters.

Contribution

It introduces solutions for a flat FRW universe with variable G and Lambda, analyzing their effects on cosmological parameters and distances for various matter contents.

Findings

Statefinder parameters depend only on w and epsilon.

Distances such as lookback time and luminosity distance are calculated for the model.

The model's parameters vary with different matter types.

Abstract

We have considered a cosmological model of the FRW universe with variable $G$ and $\Lambda$. The solutions have been obtained for flat model with particular form of cosmological constant. The cosmological parameters have also been obtained for dust, radiation and stiff matter. The statefinder parameters are analyzed and have shown that these depends only on $w$ and $\epsilon$. Further the lookback time, proper distance, luminosity distance and angular diameter distance have also been calculated for our model.