Interacting Dark Energy in f(T) cosmology : A Dynamical System analysis

TL;DR

This paper investigates an interacting dark energy model within f(T) cosmology, analyzing its dynamical stability and cosmological viability through critical point analysis and stability assessments.

Contribution

It introduces a specific f(T) form with matter-scalar field interaction and performs a detailed dynamical system analysis including stability and quantum considerations.

Findings

Identification of stable attractors in the model

Analysis of classical stability conditions

Discussion of quantum stability of the cosmological solutions

Abstract

The present work deals with an interacting dark energy model in the framework of f(T) cosmology. A cosmologically viable form of f(T) is chosen (T is the torsion scalar in teleparallelism) in the background of flat homogeneous and isotropic Friedmann-Robertson-Walker (FRW) space-time model of the universe. The matter content of the universe is chosen as dust interacting with minimally coupled scalar field. The evolution equations are reduced to an autonomous system of ordinary differential equations by suitable transformation of variables. The nature of critical points are analyzed by evaluating the eigenvalues of the linearized Jacobi matrix and stable attractors are examined from the point of view of cosmology. Finally, both classical and quantum stability of the model have been discussed.