Cosmological reconstruction and stability in F(T,TG) gravity

Abstract

This study investigates the reconstruction scheme and stability of some well-known cosmological models in [Formula: see text] gravity, where [Formula: see text] and [Formula: see text] represent the torsion scalar and Gauss–Bonnet invariant torsion term, respectively. For this purpose, we consider isotropic homogeneous universe model and develop the corresponding field equations. It is found that we can reproduce cosmological evolution for power-law, de Sitter solutions, phantom/nonphantom era and [Formula: see text] cold dark matter by applying reconstruction scheme in this gravity. Finally, we discuss stability of the reconstructed power-law and de Sitter solutions as well as two well-known [Formula: see text] models. It is concluded that all these models provide stable solutions for suitable choices of the constants except power-law solutions.