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| 1 | We consider cosmological perturbations in the theory of gravity with nonminimal kinetic coupling. The Lagrangian of the theory contains the term ηGijφ,iφ,j , and represents the particular example of a general Horndeski Lagrangian, which results in second-order field equations. We derive a complete set of equations for scalar, vector and tensor pertubations. The tensor modes are analyzed in detail. It is shown that their behavior inside the Hubble horizon differs cardinally from the analogous behavior of tensor modes in Friedmann cosmology. Keywords: nonminimal kinetic coupling, cosmological perturbations | 1267 | ||||