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A field kinetic coupling with the Einstein tensor leads to a gravitationallyenhanced friction during inflation, by which even steep potentials withtheoretically natural model parameters can drive cosmic acceleration. In thepresence of this non-minimal derivative coupling we place observationalconstraints on a number of representative inflationary models such as chaoticinflation, inflation with exponential potentials, natural inflation, and hybridinflation. We show that most of the models can be made compatible with thecurrent observational data mainly due to the suppressed tensor-to-scalar ratio.

Observational tests of inflation with a field derivative coupling to gravity