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 …

General relativity can be formulated equivalently with a non-Riemannian geometry that
associates with an affine connection of nonzero nonmetricity Q but vanishing curvature R …

We analyze a class of topological static spherically symmetric vacuum solutions in f (Q)-
gravity. We considered an Ansatz ensuring that those solutions trivially satisfy the field …

Spherically symmetric solutions of theories of gravity built one fundamental class of solutions
to describe compact objects like black holes and stars. Moreover, they serve as starting point …

We derive the gravitational waves for f\left (T, B\right) f T, B gravity which is an extension of
teleparallel gravity and demonstrate that it is equivalent to f (R) gravity by linearized the field …

In this paper, we study different Solar System tests in a modified Teleparallel gravity theory
based on an arbitrary function f (T, B) which depends on the scalar torsion T and the …

We use observational data from the S2 star orbiting around the Galactic Center to constrain
a black hole solution of extended teleparallel gravity models. Subsequently, we construct the …

Gravitomagnetism characterizes phenomena in the weak-field limit within the context of
rotating systems. These are mainly manifested in the geodetic and Lense-Thirring effects …

With the advent of gravitational wave astronomy and first pictures of the “shadow” of the
central black hole of our milky way, theoretical analyses of black holes (and compact objects …

This volume summarizes the many alternatives and extensions to Einstein's General Theory
of Relativity, and shows how symmetry principles can be applied to identify physically viable …