Solvable K-essence Cosmologies and Modified Chaplygin Gas Unified Models of Dark Energy and Dark Matter

TL;DR

This paper explores the connection between solvable k-essence cosmologies and modified Chaplygin gas models, demonstrating their viability in describing various dark energy behaviors such as cosmological constant, quintessence, or phantom phases.

Contribution

It introduces a new approach to relate k-essence and Chaplygin gas models, analyzing their equations of state for specific parameters and potential forms.

Findings

The universe can exhibit cosmological constant, quintessence, or phantom behavior depending on parameter n.

Graphical analysis of equations of state reveals diverse dark energy scenarios.

The relationship between k-essence and Chaplygin gas models is viable for dark energy modeling.

Abstract

This paper is devoted to the investigation of modified Chaplygin gas model in the context of solvable k-essence cosmologies. For this purpose, we construct equations of state parameter of this model for some particular values of the parameter $n$. The graphical behavior of these equations are also discussed by using power law form of potential. The relationship between k-essence and modified Chaplygin gas model shows viable results in the dark energy scenario. We conclude that the universe behaves as a cosmological constant, quintessence phase or phantom phase depending upon $n$.