Quintessence Model and Observational Constraints

TL;DR

This paper explores a quintessence model of dark energy, deriving a general relation between energy density and scale factor, and analyzes observational constraints on cosmic acceleration transition.

Contribution

It introduces a generalized relation between quintessence potential and kinetic energy, encompassing hyperbolic and exponential potentials, and examines observational constraints.

Findings

Model satisfies current observational constraints

Transition from deceleration to acceleration is consistent with data

Includes analysis of hyperbolic and exponential potentials

Abstract

The recent observations of type Ia supernovae strongly support that the universe is accelerating now and decelerated in the recent past. By assuming a general relation between the quintessence potential and the quintessence kinetic energy, a general relation is found between the quintessence energy density and the scale factor. The potential includes both the hyperbolic and the double exponential potentials. A detailed analysis of the transition from the deceleration phase to the acceleration phase is then performed. We show that the current constraints on the transition time, the equation of state and the energy density of the quintessence field are satisfied in the model.