Some exact solutions in K-essence theory isotropic cosmology

TL;DR

This paper derives exact solutions in a specific K-essence cosmological model with a particular kinetic term form, applied to isotropic FRW universe, advancing understanding of scalar field dynamics in cosmology.

Contribution

It introduces a new exact solution approach for K-essence models with a specific kinetic function in isotropic cosmology.

Findings

Multiple exact solutions found for the chosen kinetic term form

Demonstrates the applicability of the method to homogeneous and isotropic models

Provides insights into scalar field behavior in K-essence cosmology

Abstract

We use a simple form of the K-essence theory and apply it to the classic isotropic cosmological model and seek exact solutions. The particular form of the kinetic term that we choose is $K \left(\phi, X \right)= K_0(\phi)X^m +K_1$. The resulting field equations in the homogeneous and isotropic cosmology (FRW)is considered. Several exact solutions are obtained.