Holographic Dark Energy with Time Varying n^2 Parameter in Non-Flat Universe

TL;DR

This paper proposes a holographic dark energy model with a slowly varying parameter n, deriving its evolution equations for flat and non-flat universes, and analyzing how n influences the dark energy equation of state.

Contribution

It introduces a generalized holographic dark energy model with a time-varying parameter n, extending previous models to include non-flat geometries and dynamic n evolution.

Findings

Derived differential equations for $A9_d$ in flat and non-flat universes

Showed the dependence of the equation of state on the parameter n

Provided insights into the evolution of dark energy density over time

Abstract

We consider a holographic dark energy model, with a varying parameter, n, which evolves slowly with time. We obtain the differential equation describing evolution of the dark energy density parameter, $\Omega_d$, for the flat and non-flat FRW universes. The equation of state parameter in this generalized version of holographic dark energy depends on n.