Evolutionary Phase of Universe in $f(R,L_m,T)$ Gravity: The Dynamical System Analysis

TL;DR

This paper uses dynamical system analysis to explore the evolution of the universe within $f(R,L_m,T)$ gravity, revealing critical points that correspond to different cosmological phases.

Contribution

It introduces a novel dynamical system framework for $f(R,L_m,T)$ gravity with a scalar field, analyzing stability and cosmological implications.

Findings

Identifies critical points representing various universe evolution phases.

Analyzes stability of these points via eigenvalues.

Derives cosmological parameters like deceleration and equation of state.

Abstract

In this paper, the dynamical system analysis has been performed to analyze the dynamical behavior of the Universe in $f(R,L_m,T)$ gravity with a scalar field. A well motivated potential function and the linear form of the functional $f(R,L_m,T)$ have been incorporated into the Friedmann equation, and the autonomous dynamical system has been framed by introducing dimensionless variables. The stability behavior of the critical points is obtained and analyzed based on their corresponding eigenvalues. Moreover, cosmological parameters such as the deceleration parameter and the dynamical parameters such as equation of state and density parameters are obtained using the dimensionless variables. It has been observed that the system provides critical points that describe different evolutionary phases of the Universe.