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 …

We discuss some main aspects of theories of gravity containing nonlocal terms in view of
cosmological applications. In particular, we consider various extensions of general relativity …

We consider a general theory of all possible quadratic, first-order derivative terms of the non-
metricity tensor in the framework of Symmetric Teleparallel Geometry. We apply the Noether …

Testing gravity theories and their parameters using observations is an important issue in
relativistic astrophysics. In this context, we investigate the motion of test particles and their …

After the recent GW170817 event of the two neutron stars merging, many string corrected
cosmological theories confronted the non-viability peril. This was due to the fact that most of …

We review the Noether Symmetry Approach as a geometric criterion to select theories of
gravity. Specifically, we deal with Noether Symmetries to solve the field equations of given …

While the origin and composition of dark matter and dark energy remains unknown, it is
possible that they might represent two manifestations of a single entity, as occurring in …

Horndeski gravity was highly constrained from the recent gravitational wave observations by
the LIGO Collaboration down to| cg/c-1|≳ 10-15. In this paper, we study the propagation of …

Scalar–tensor theories have drawn the attention of cosmologist for the past few years
because they can provide mechanism to explain the observable phenomena. Moreover, the …

Teleparallel Horndeski theory offers an avenue through which to circumvent the speed
constraint of gravitational waves in an efficient manner. However, this provides an even …