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 …

We review different approaches to the Hamiltonian analysis of teleparallel theories of
gravity. In particular, the Hamiltonian analysis for f (𝕋) theories led to disputed results in the …

We investigate the scalar perturbations and the possible strong coupling issues of f (T)
around a cosmological background, applying the effective field theory (EFT) approach. We …

Starting from the original Einstein action, sometimes called the Gamma squared action, we
propose a new setup to formulate modified theories of gravity. This can yield a theory with …

In the literature on f (T) gravity, the status of local Lorentz invariance and the number of
physical degrees of freedom have been controversial issues. Relying on a detailed …

Foundational issues in gravity theory Page 1 International Journal of Geometric Methods in
Modern Physics Vol. 18, Supp. 1 (2021) 2140007 (13 pages) c© World Scientific Publishing …

The full set of solutions of f (T) gravity with the Minkowski metric is considered in this note. At
the fourth order in perturbations around the trivial tetrad solution, a new mode is found …

We present the geometric foundations and derivations of equations of motion for symmetric
teleparallel theories of gravity in the coincident gauge and covariant frameworks. We …

General relativity dynamics can be derived from different actions—which depart from the
Einstein-Hilbert action in boundary terms—and for different choices of the dynamical …