Abstract
We review 52 models of single-field inflation, paying special attention to the possibility that self-resonance of the unstable inflaton perturbations leads to reheating. We compute Floquet exponents for the models that are consistent with current cosmological data. We find six models that exhibit a strong instability, but, barring the already known example of T-model of α-attractors, only in one of them – KKLT inflation – the equation of state efficiently approaches that of radiation.
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