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

We study reheating of inflationary models with general non-minimal coupling K(phi)R with K(phi) similar to root V (phi) where R is the Ricci scalar and V is the inflaton potential. In particular, when we take the monomial potential K(phi) proportional to phi(m) with m is an element of Z(+), we provide general analytic expressions for cosmological observables. We consider a wide range of nonminimal coupling xi is an element of [0, infinity) 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).