Dynamical system analysis for nonminimal torsion-matter coupled gravity

TL;DR

This paper conducts a dynamical systems analysis of nonminimal torsion-matter coupled gravity, identifying fixed points that correspond to different cosmological epochs and showing the model's potential to explain universe evolution.

Contribution

It introduces two formalisms for analyzing the model and explores six specific models, highlighting their ability to reproduce key cosmological phases.

Findings

Identification of fixed points for dark matter and dark energy dominated solutions

Discovery of parameter regions allowing transition from matter to dark energy era

Model aligns with observed universe evolution features

Abstract

In this work, we perform a detailed dynamical analysis for the cosmological applications of a nonminimal torsion-matter coupled gravity. Two alternative formalisms are proposed, which enable one to choose between the easier approach for a given problem, and furthermore, we analyze six specific models. In general, we extract fixed points corresponding either to dark-matter dominated, scaling decelerated solutions, or to dark-energy dominated accelerated solutions. Additionally, we find that there is a small parameter region in which the model can experience the transition from the matter epoch to a dark-energy era. These features are in agreement with the observed universe evolution, and make the theory a successful candidate for the description of Nature.