Teleparallel gravity (TG) has significantly increased in popularity in recent decades, bringing
attention to Einstein's other theory of gravity. In this Review, we give a comprehensive …

Over recent decades, the role of torsion in gravity has been extensively investigated along
the main direction of bringing gravity closer to its gauge formulation and incorporating spin …

Teleparallel gravity and its popular generalization gravity can be formulated as fully invariant
(under both coordinate transformations and local Lorentz transformations) theories of …

We review different dark energy cosmologies. In particular, we present the Λ CDM
cosmology, Little Rip and Pseudo-Rip universes, the phantom and quintessence …

We show that the well-known problem of frame dependence and violation of local Lorentz
invariance in the usual formulation of f (T) gravity is a consequence of neglecting the role of …

We investigate the cosmological reconstruction in modified f (R, T) gravity, where R is the
Ricci scalar and T the trace of the stress–energy tensor. Special attention is attached to the …

Inspired by the teleparallel formulation of general relativity, whose Lagrangian is the torsion
invariant T, we have constructed the teleparallel equivalent of Gauss-Bonnet gravity in …

We demonstrate that there appear finite-time future singularities in f (T) gravity with T being
the torsion scalar. We reconstruct a model of f (T) gravity with realizing the finite-time future …

It is shown that the acceleration of the universe can be understood by considering a F (T)
gravity models. For these F (T) gravity models, a variant of the accelerating cosmology …

We investigate the importance of choosing good tetrads for the study of the field equations of
f (T) gravity. It is well known that this theory is not invariant under local Lorentz …