Note on the reheating temperature in Starobinsky-type potentials

Abstract

The relation between the reheating temperature, the number of e-folds and the spectral index is shown for the Starobinsky model and some of its descendants through a very detailed calculation of these three quantities. The conclusion is that for viable temperatures between 1 MeV and 109 GeV the corresponding values of the spectral index enter perfectly in its 2s C.L., which shows the viability of this kind of models ; This investigation has been supported by MINECO (Spain) Grant MTM2017-84214-C2-1-P and in part by the Catalan Government 2017-SGR-247. ; Peer Reviewed ; Postprint (published version)