Exploring Cosmic Epochs with an Autonomous Dynamical System in Power-Law Scalar-Torsion Gravity

In this study, we investigate the cosmological behavior of a non-minimally coupled scalar field associated with torsion gravity. We demonstrate the Sorkin-Schutz formalism with a general power-law teleparallel torsion coupling. The autonomous dynamical system has been formulated. The phase space diagrams have been analysed at each critical point. The critical points representing different eras of the Universe’s evolution, starting from radiation, dark matter, and dark energy, have been investigated. Scaling attractors with a viable range of model parameters, especially n and σ, were obtained using exponential scalar field couplings. This modified version of the formalism describes more radiation-dominated scaling solutions.