Slow-roll inflationary senario in the maximally extended background
  During the inflationary epoch,geometry of the universe may be described by
quasi-de Sitter space. On the other hand,maximally extended de Sitter metric in
the comoving coordinates accords with a special FLRW model with positive
spatial curvature,so in this article we focus on the positively curved
inflationary paradigm.For this purpose,first we derive the power spectra of
comoving curvature perturbation and primordial gravitational waves in a
positively curved FLRW universe according to the slowly rolling inflationary
senario. It can be shown that the curvature spectral index in this model
automatically has a small negative running parameter which is compatible with
observational measurements.Then,by taking into account the curvature factor,we
investigate the relative amplitude of the scalar and tensor perturbations.It
would be clarified that the tensor-scalar ratio for this model against the
spatially flat one,depends on the waelength of the perturbative models
directly.
