Reconstructed anisotropic models in F(T, TG) gravity

Abstract

We explore the reconstruction scenario of a spatially homogenous and anisotropic universe model in the framework of F(T, TG) gravity (T represents the torsion scalar and TG is the teleparallel equivalent of the Gauss–Bonnet term). We construct F(T, TG) models by assuming different phases of the universe, like a dark energy dominated era, non-relativistic as well as relativistic matter eras, and their combinations. The graphical behavior of these models indicates a decreasing pattern for ω = −1 and its combination with ω = 0 and 1/3. Finally, we evaluate the equation of state parameter by considering the F(T, TG) model and study its evolutionary behavior for particular values of dimensionless coupling parameters.