Dark energy model with higher derivative of Hubble parameter

TL;DR

This paper proposes a dark energy model where the energy density depends on the Hubble parameter and its derivatives, potentially resolving the universe's age problem by adjusting model parameters.

Contribution

It introduces a novel dark energy model involving higher derivatives of the Hubble parameter, offering a new approach to cosmic acceleration and age problem solutions.

Findings

Model can alleviate the age problem of old objects

Dark energy behavior depends on parameters α, β, γ

Expansion history is significantly affected by the model parameters

Abstract

In this letter we consider a dark energy model in which the energy density is a function of the Hubble parameter $H$ and its derivative with respect to time $\rho_{de}=3\alpha \ddot{H}H^{-1}+3\beta\dot{H}+3\gamma H^2$. The behavior of the dark energy and the expansion history of the Universe depend heavily on the parameters of the model $\alpha$, $\beta$ and $\gamma$. It is very interesting that the age problem of the well-known three old objects can be alleviated in this models.