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 …

The dawn of the twenty-first century came with very positive prospects for gravity, cosmology,
and astrophysics. Technological progress made it possible for cosmology to enter to its …

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 …

We show that in theories of generalized teleparallel gravity, whose Lagrangians are
algebraic functions of the usual teleparallel Lagrangian, the action and the field equations …

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 …

In the framework of Teleparallel Gravity, we derive a charged non-vacuum solution for a
physically symmetric tetrad field with two unknown functions of radial coordinate. The field …

The Hamiltonian formulation of the teleparallel description of Einstein's general relativity is
established. Under a particular gauge fixing the Hamiltonian of the theory is written in terms …

In this paper, we consider a theory of gravity with a metric-dependent torsion namely the F
(R, T) gravity, where R is the curvature scalar and T is the torsion scalar. We study the …

We investigate the cosmological applications of F (T, TG) gravity, which is a novel modified
gravitational theory based on the torsion invariant T and the teleparallel equivalent of the …

The Hamiltonian formulation of the teleparallel equivalent of general relativity is considered.
Definitions of energy, momentum and angular momentum of the gravitational field arise from …