Relic gravitational waves in verified inflationary models based on the generalized scalar–tensor gravity

Abstract In this work, we consider the models of cosmological inflation based on generalized scalar–tensor theories gravity with quadratic connection between Hubble parameter and coupling function. For such a class models, discuss correspondence well-known versions physically motivated potentials scalar field. It is shown that corresponds to Planck observational constraints perturbation parameters for an arbitrary potential field version theory. The spectrum relict gravitational waves analyzed, frequency range corresponding maximal energy density determined. possibility direct detection relic waves, predicted in by satellite ground-based detectors discussed as well.