Teleparallel equivalent of Lovelock gravity, generalizations and cosmological applications

Abstract

We consider the teleparallel equivalent of Lovelock gravity and its natural\nextension, where the action is given by an arbitrary function $f(T_{_{L_1}},\nT_{_{L_2}},\\cdot \\cdot \\cdot , T_{_{L_n}})$ of the torsion invariants\n$T_{_{L_i}}$, which contain higher order torsion terms, and derive its field\nequations. Then, we consider the special case of $f(T_{_{L_1}}, T_{_{L_2}})$\ngravity and study a cosmological scenario by selecting a particular\n$f(T_{_{L_1}}, T_{_{L_2}})$, and derive the Friedmann equations. Also, we\nperform a dynamical systems analysis to extract information on the evolution of\nthe cosmological model. Mainly, we find that the model has a very rich\nphenomenology and can describe the acceleration of the universe at late times\n