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We study nonlinear cosmological perturbations and their possible non-Gaussiancharacter in an extended non-minimal inflation where gravity is couplednon-minimally to both the scalar field and its derivatives. By expansion of theaction up to the third order, we focus on the non-linearity and non-Gaussianityof perturbations in comparison with recent observational data. By adopting aninflation potential of the form V(phi) = (1/n)(lambda)(phi)^n, we show that forn = 4, for instance, this extended model is consistent with observation if0.013 <lambda< 0.095 in appropriate units. By restricting the equilateralamplitude of non-Gaussianity to the observationally viable values, the couplingparameter lambda is constraint to the values lambda< 0.1.

More on the Non-Gaussianity of Perturbations in a Non-Minimal Inflationary Model