Stable bounce and inflation in non-local higher derivative cosmology
  One of the greatest problems of primordial inflation is that the inflationary
space-time is past-incomplete. This is mainly because Einstein's GR suffers
from a space-like Big Bang singularity. It has recently been shown that
ghost-free, non-local higher-derivative ultra-violet modifications of
Einstein's gravity may be able to resolve the cosmological Big Bang singularity
via a non-singular bounce. Within the framework of such non-local cosmological
models, we are going to study both sub- and super-Hubble perturbations around
an inflationary trajectory which is preceded by the Big Bounce in the past, and
demonstrate that the inflationary trajectory has an ultra-violet completion and
that perturbations do not suffer from any pathologies.
