Anisotropic Brane Cosmology with Variable $G$ and $\Lambda$

TL;DR

This paper explores how varying gravitational constant G and cosmological term Lambda over time influence brane world cosmology, analyzing different bulk cosmological constant scenarios and their effects on universe expansion.

Contribution

It introduces a model where G and Lambda vary with time in brane cosmology, extending previous models with constant parameters and analyzing their implications.

Findings

Scale factors exhibit different behaviors depending on the sign of the bulk cosmological constant.

Time variation of G and Lambda affects the evolution of kinematical parameters.

The model provides insights into possible cosmological dynamics with variable fundamental constants.

Abstract

In this work, the cosmological implications of brane world scenario are investigated when the gravitational coupling $G$ and the cosmological term $\Lambda$ are not constant but rather there are time variation of them. From observational point of view, these time variations are taken in the form $\frac{\dot{G}}{G}\sim H$ and $\Lambda \sim H^{2}$. The behavior of scale factors and different kinematical parameters are investigated for different possible scenarios where the bulk cosmological constant $\Lambda_{5}$ can be zero, positive or negative.