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We study reheating of inflationary models with general non-minimal coupling$K(\phi)R$ with $K(\phi)\sim \sqrt{V(\phi)}$ where $R$ is the Ricci scalar and$V$ is the inflaton potential. In particular, when we take the monomialpotential $K(\phi) \propto \phi^m$ with $m \in \mathbb{Z}_+$, we providegeneral analytic expressions for cosmological observables. We consider a widerange of non-minimal coupling $ \xi \in [0, \infty) $ in metric and Palatiniformalisms and derive the predictions for cosmological observables and thereheating temperature taking a general equation of state parameter $w_\text{reh} $.

Reheating in Models with Non-minimal Coupling in metric and Palatini formalisms