$f(T,\mathcal{T})$ Cosmological Models in Phase Space

TL;DR

This paper investigates $f(T, \, \mathcal{T})$ gravity models in cosmology, analyzing their stability for power-law and de Sitter solutions, and identifying parameter ranges where the models remain stable.

Contribution

The paper derives a covariantly conserved $f(T, \, \mathcal{T})$ model and studies its stability, providing new insights into its viability for cosmological solutions.

Findings

The model can be stable for certain parameter values.

Stability is confirmed for both power-law and de Sitter solutions.

The study advances understanding of $f(T, \, \mathcal{T})$ gravity in cosmology.

Abstract

In this paper we explore $f(T, \mathcal{T})$, where $T$ and $\mathcal{T}$ denote the torsion scalar and the trace of the energy-momentum tensor respectively. We impose the covariant conservation to the energy-momentum tensor and obtain a cosmological $f(T, \mathcal{T})$ respectively. We impose the covariant conservation to the energy-momentum tensor and obtain a cosmological $f(T, \mathcal{T})$ model. Then, we study the stability of the obtained model for power-law and de Sitter solutions and our result show that the model can be stable for some values of the input parameters, for both power-law and de Sitter solutions.