# Teleparallel Equivalent of Lovelock Gravity, Generalizations and Cosmological Applications

## TL;DR

This paper develops a teleparallel formulation of Lovelock gravity, extends it with arbitrary functions of torsion invariants, and explores its cosmological implications, including late-time acceleration.

## Contribution

It introduces a generalized teleparallel Lovelock gravity with arbitrary functions of torsion invariants and analyzes its cosmological dynamics.

## Key findings

- The model exhibits rich phenomenology.
- It can describe late-time cosmic acceleration.
- Friedmann equations are derived for specific cases.

## Abstract

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