Production of Primordial Black Holes via Single Field Inflation and
  Observational Constraints
  In a class of single field models of inflation, the idea of Primordial Black
holes(PBHs) production is studied. In this case, the dynamics on small
cosmological scales differ significantly from that of the large scales probed
by the observations of cosmic microwave background(CMB). This difference
becomes a virtue in producing the correct physical ambiance for the seeds
required to produce PBHs. Thus, once the perturbed scales renter the horizon of
our Universe during the later epochs of radiation domination and subsequent
matter domination, these seeds collapses to produce PBHs. We have shown, in
this class of model, depending on the model parameters and the class defining
set parameters, one can have PBHs formed for a vast mass ranges from $10^{-18}$
to $10^{-6}$ solar mass(\(\textup{M}_\odot\)). We have also shown, for a
particular class of model, the total dark matter density today can be
attributed to the PBHs density. The vast range of the mass depending on the
class parameter gives ample opportunity to study enriched phenomenological
implications associated with this model to probe the nascent Universe dynamics.
