Reheating in models with non-minimal coupling in metric and Palatini formalisms

We study reheating of inflationary models with general non-minimal coupling K(φ)R with K(φ) ∼(V(φ)) where R is the Ricci scalar and R is the inflaton potential. In particular, when we take the monomial potential K(φ) φ m with m,Currency sign+, we provide general analytic expressions for cosmological observables. We consider a wide range of non-minimal coupling ζ[0,∞) in metric and Palatini formalisms and derive the predictions for cosmological observables and the reheating temperature taking a general equation of state parameter w reh.