摘要: Primordial black hole (PBHs) is interesting to people for its ability of
explaining dark matter as well as supermassive astrophysical objects. In normal
inflation scenario, the generation of PBHs usually requires enhanced power
spectrum of scalar perturbation at the end of inflation era, which is expected
when the dispersion relation of the inflaton field gets modified. In this work,
we study a kind of inflation model called "{\it DBI-inspired non-minimal
kinetic coupling" (DINKIC)} model, where the dispersion relation is modified by
a square root existing in the field Lagrangian. We discuss the enhancement of
scalar power spectrum due to the modified dispersion relation, as well as the
abundance of PBHs produced by the Press-Schechter collapse mechanism. We also
discuss the formation of Scalar-Induced Gravitational Waves (SIGWs) by linear
scalar perturbations.