Inflation, PBH production and induced GW in modified gravity and supergravity

In the first part of my talk, Starobinsky inflation is reviewed and extended in the framework of the modified F(R) gravity in order to accommodate production of primordial black holes (PBH) at smaller scales. Those black holes may form dark matter (DM) in the current Universe. The density and frequency of the PBH-induced gravitational waves (GW) are derived and compared to the sensitivity curves of the future space-based gravitational interferometers (LISA, DECIGO, TianQin, Taiji), which makes it possible to probe our models. In the second part of my talk, an upgrade of our models to supergravity is introduced, and a possible connection to the MSSM and SM of elementary particles is outlined.