New types of $f(T)$ gravity

TL;DR

This paper explores three new types of $f(T)$ gravity theories, which modify teleparallel gravity to explain cosmic acceleration, maintaining second-order field equations and offering novel models for the universe's expansion.

Contribution

It introduces three new $f(T)$ gravity models that can produce cosmic acceleration, expanding the landscape of teleparallel modifications with simpler second-order equations.

Findings

All three models can generate cosmic acceleration.

Models exhibit interesting features in cosmic evolution.

Theories maintain second-order field equations.

Abstract

Recently $f(T)$ theories based on modifications of teleparallel gravity where torsion is the geometric object describing gravity instead of curvature have been proposed to explain the present cosmic accelerating expansion. The field equations are always second order, remarkably simpler than $f(R)$ theories. In analogy to the $f(R)$ theory, we consider here three types of $f(T)$ gravity, and find that all of them can give rise to cosmic acceleration with interesting features, respectively.