Relaxing inflation models with non-minimal coupling: A general study

Abstract

We investigate the predictions of inflation models with a non-minimal coupling to gravity for inflationary observables such as the spectral index and tensor-to-scalar ratio in a general setting. We argue that, depending on the relation between the Jordan frame potential and a function characterizing the non-minimal coupling, one can classify the model into three categories each of which gives distinctive predictions for the inflationary observables. We derive general predictions for each class and also investigate some explicit models to discuss how the general features arise. Our results would be useful to design an inflation model consistent with observational constraints with a non-minimal coupling to gravity.

arXiv comment35 pages, 13 figures

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• Nonminimally Assisted Inflation: A General Analysis
• Double inflation via non-minimally coupled spectator
• Comoving curvature perturbation in Jordan and Einstein frames
• Non-minimal Coupling Inflation and Dark Matter under the ${\mathbb{Z}}_3$ Symmetry
• Inflation with antisymmetric tensor field: new candidates
• Inflation from Dynamical Projective Connections
• Inflation using a triplet of Antisymmetric tensor fields
• Scalar and vector modes in inflation with antisymmetric tensor field
• Sneutrinos as two inflatons and curvaton and leptogenesis