Reheating via gravitational particle production in simple models of quintessence or $\mathrm{\Lambda }$CDM inflation

We have tested some simple $\mathrm{\Lambda }$CDM (the same test is also valid for quintessence) inflation models, imposing that they match with the recent observational data provided by the BICEP and Planck’s team and leading to a reheating temperature, which is obtained via gravitational particle production after inflation, supporting the nucleosynthesis success.