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 …

This article is intended to review the recent developments in the Horndeski theory and its
generalization, which provide us with a systematic understanding of scalar–tensor theories …

Ostrogradsky's construction of a Hamiltonian formalism for nondegenerate higher derivative
Lagrangians is reviewed. The resulting instability imposes by far the most powerful …

We investigate the exponential f (Q) symmetric teleparallel gravitation, namely using ME-
GADGET code to probe the structure formation with box sizes L Box= 10/100 Mpc h–1 and …

We show that the BRST Lagrangian double copy construction of supergravity as the
'square'of Yang–Mills theory finds a natural interpretation in terms of homotopy algebras. We …

In the context of classical mechanics, we study the conditions under which higher-order
derivative theories can evade the so-called Ostrogradsky instability. More precisely, we …

Invertible disformal transformations serve as a useful tool to explore ghost-free scalar-tensor
theories. In this paper, we construct a generalization of invertible disformal transformations …

The recent simultaneous detection of gravitational waves and a gamma-ray burst from a
neutron star merger significantly shrank the space of viable scalar-tensor theories by …

In light of the most recent cosmological observations, we provide new updated constraints
on the slow roll inflation in different extended scenarios beyond the Λ CDM cosmological …

Modified gravity theories can accommodate exact solutions, for which the metric has the
same form as the one in general relativity, ie, stealth solutions. One problem with these …