G-corrected holographic dark energy model

TL;DR

This paper explores a holographic dark energy model within FRW cosmology considering a time-varying gravitational constant, analyzing its effects on cosmic acceleration, the equation of state, and compatibility with observations.

Contribution

It introduces a G-corrected holographic dark energy model and examines its implications on cosmic evolution and observational consistency.

Findings

Phantom regime can be achieved at present time.

G variation influences the transition from deceleration to acceleration.

G-corrected model aligns better with observational data in the s-r plane.

Abstract

Here we investigate the holographic dark energy model in the framework of FRW cosmology where the Newtonian gravitational constant,$G$, is varying with cosmic time. Using the complementary astronomical data which support the time dependency of $G$, the evolutionary treatment of EoS parameter and energy density of dark energy model are calculated in the presence of time variation of $G$. It has been shown that in this case, the phantom regime can be achieved at the present time. We also calculate the evolution of $G$- corrected deceleration parameter for holographic dark energy model and show that the dependency of $G$ on the comic time can influence on the transition epoch from decelerated expansion to the accelerated phase. Finally we perform the statefinder analysis for $G$- corrected holographic model and show that this model has a shorter distance from the observational point in $s-r$ plane compare with original holographic dark energy model.