Note on the reheating temperature in Starobinsky-type potentials

TL;DR

This paper investigates the relationship between reheating temperature, e-folds, and spectral index in Starobinsky-type inflation models, demonstrating their viability within a broad temperature range through detailed calculations.

Contribution

It provides a detailed analysis of how reheating temperature influences spectral index and e-folds in Starobinsky models, confirming their consistency with observational data.

Findings

Reheating temperatures between 1 MeV and 10^9 GeV are compatible with spectral index constraints.

The spectral index remains within 2sigma confidence level for the considered temperature range.

The study confirms the viability of Starobinsky-type models across a wide reheating temperature spectrum.

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 $10^9$ GeV the corresponding values of the spectral index enter perfectly in its $2sigma$ C.L., which shows the viability of this kind of models.