Pure kinetic k-essence as the cosmic speed-up

TL;DR

This paper explores three parametric k-essence models, deriving exact solutions that demonstrate their capability to produce cosmic acceleration, contributing to understanding dark energy mechanisms.

Contribution

It provides exact analytical solutions for three types of k-essence models, showing their potential to explain cosmic acceleration.

Findings

K-essence models can induce cosmic acceleration

Exact solutions for equations of motion are derived

Models demonstrate viability as dark energy candidates

Abstract

In this paper, we consider three types of k-essence. These k-essence models were presented in the parametric forms. The exact analytical solutions of the corresponding equations of motion are found. It is shown that these k-essence models for the presented solutions can give rise to cosmic acceleration.