Dynamical analysis of generalised $f(R,\mathcal{L})$ theories

TL;DR

This paper employs a dynamical system approach to evaluate the viability of generalized $f(R, ext{L})$ theories as dark energy models, comparing them with nonminimal coupled $f(R)$ theories and analyzing specific functional forms to constrain parameters.

Contribution

It introduces a dynamical analysis framework for generalized $f(R, ext{L})$ theories and assesses their compatibility with dark energy observations.

Findings

Certain parameter ranges are consistent with dark energy behavior.

Exponential and power-law models show distinct dynamical properties.

Constraints help narrow down viable $f(R, ext{L})$ models.

Abstract

In this work, we use a dynamical system approach to analyse the viability of $f(R,\mathcal{L})$ candidates for dark energy. We compare these with nonminimal coupled $f(R)$ theories and study the solutions for exponential and power-law forms in order to constraint the allowed range of model parameters.