Holographic dark energy with varying gravitational constant

TL;DR

This paper explores how a varying gravitational constant affects holographic dark energy models in different geometries, deriving equations and parameters that describe the evolution of dark energy.

Contribution

It introduces exact differential equations for dark energy evolution incorporating G-variation, extending holographic dark energy models to include a dynamic gravitational constant.

Findings

Derived differential equations with G-variation corrections.

Expressed dark energy parameters as functions of current densities and G-variation.

Analyzed low-redshift behavior of the dark energy equation of state.

Abstract

We investigate the holographic dark energy scenario with a varying gravitational constant, in flat and non-flat background geometry. We extract the exact differential equations determining the evolution of the dark energy density-parameter, which include $G$-variation correction terms. Performing a low-redshift expansion of the dark energy equation of state, we provide the involved parameters as functions of the current density parameters, of the holographic dark energy constant and of the $G$-variation.