Reconstructing Dark Energy Potentials From Parameterized Deceleration Parameters

TL;DR

This paper explores dark energy properties using parameterized deceleration parameters, reconstructs dark energy potentials, and analyzes their evolution, revealing that potentials diverge as the universe evolves.

Contribution

It introduces two new parameterizations of the deceleration parameter to reconstruct dark energy potentials and analyze their evolution.

Findings

Dark energy potentials diverge over cosmic time.

Reconstructed potentials depend on the chosen parameterization.

The evolution of dark energy parameters aligns with accelerating universe models.

Abstract

In this paper, the properties of dark energy are investigated according to the parameterized deceleration parameter $q(z)$, which is used to describe the extent of the accelerating expansion of the universe. The potential of dark energy $V(\phi)$ and the cosmological parameters, such as the dimensionless energy density $\Omega_{\phi}$, $\Omega_{m}$, and the state parameter $w_\phi$, are connected to it. Concretely, by giving two kinds of parameterized deceleration parameters $q(z)=a+\frac{bz}{1+z}$ and $q(z)=1/2+\frac{az+b}{(1+z)^2}$, the evolution of these parameters and the reconstructed potentials $V(\phi)$ are plotted and analyzed. It's found that the potentials run away with the evolution of universe.