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As an extension of our previous study, we derive slow-roll conditions formultiple scalar fields which are non-minimally coupled with gravity and forgeneralized gravity theories of the form $f(\phi,R)$. We provide simpleformulae of the spectral indices of scalar/tensor perturbations in terms of theslow-roll parameters.

Extended Slow-Roll Conditions and Primordial Fluctuations: Multiple Scalar Fields and Generalized Gravity