Realizing late-time cosmology in the context of Dynamical Stability Approach

TL;DR

This paper investigates a non-minimally coupled relativistic fluid and k-essence scalar field in a flat universe, demonstrating that their interaction models can produce stable late-time cosmic acceleration through dynamical stability analysis.

Contribution

It introduces a coupled framework with non-minimal interaction and analyzes its stability, showing potential for explaining late-time cosmic acceleration.

Findings

Models can produce stable late-time cosmic acceleration.

Non-minimal coupling affects scalar field and cosmological dynamics.

Dynamical stability approach confirms viability of the models.

Abstract

We examine the scenario of non-minimally coupled relativistic fluid and $k$-essence scalar field in a flat Friedmann-Lemaitre-Robertson-Walker universe. By adding a non-minimal coupling term in the Lagrangian level, we study the variation of Lagrangian with respect to independent variables, which produces modified scalar field and Friedmann equations. Using dynamical stability approach in different types of interaction models with two types of scalar field potential, we explore this coupled framework. Implementing detailed analysis, we can conclude our models can able to produce stable late-time cosmic acceleration.