# A Dark Energy Quintessence Model of the Universe

## TL;DR

This paper proposes a quintessence dark energy model within the FLRW universe, featuring a time-dependent deceleration parameter that captures the universe's transition from deceleration to acceleration, consistent with observations.

## Contribution

It introduces a novel ansatz linking the deceleration parameter to the Hubble constant, modeling the universe's expansion history with a quintessence phase.

## Key findings

- Model exhibits a decelerating-accelerating transition.
- Satisfies current observational constraints.
- Describes a quintessence phase for 0 ≤ z ≤ 0.5806.

## Abstract

In this paper, we have presented a model of the FLRW universe filled with matter and dark energy fluids, by assuming an ansatz that deceleration parameter is a linear function of the Hubble constant. This results in a time-dependent DP having decelerating-accelerating transition phase of the universe. This is a quintessence model $\omega_{(de)}\geq -1$. The quintessence phase remains for the period $(0 \leq z \leq 0.5806)$. The model is shown to satisfy current observational constraints. Various cosmological parameters relating to the history of the universe have been investigated.