Holographic dark energy with varying gravitational constant in Horava-Lifshitz cosmology

TL;DR

This paper explores how holographic dark energy models behave within Hořava-Lifshitz gravity when the gravitational constant varies, deriving evolution equations and analyzing low-redshift cosmological implications.

Contribution

It derives an exact differential equation for dark energy evolution including G variation in Hořava-Lifshitz gravity and discusses its cosmological implications.

Findings

Derived the evolution equation for dark energy density with G variation

Analyzed the dark energy equation of state at low redshifts

Discussed the impact of G variation on cosmological models

Abstract

We investigate the holographic dark energy scenario with a varying gravitational constant in a flat background in the context of Ho\v{r}ava-Lifshitz gravity. We extract the exact differential equation determining the evolution of the dark energy density parameter, which includes $G$ variation term. Also we discuss a cosmological implication of our work by evaluating the dark energy equation of state for low redshifts containing varying $G$ corrections.