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An issue with the classification of the scalar–tensor theories of gravity

An issue with the classification of the scalar–tensor theories of gravity

In the bibliography, a certain confusion arises in what regards to the classification of the gravitational theories into scalar–tensor theories (STT) and general relativity with a scalar field either minimally or nonminimally coupled to matter. Higher-derivatives Horndeski and beyond Horndeski theories that at first sight do not look like STT …