The energy spectrum of gravitational waves in a loop quantum
  cosmological model
  We explore the consequences of loop quantum cosmology (inverse-volume
corrections) in the spectrum of the gravitational waves using the method of the
Bogoliubov coefficients. These corrections are taken into account at the
background level of the theory as well as at the first order in the
perturbations theory framework. We show that these corrections lead to an
intense graviton production during the loop super-inflationary phase prior to
the standard slow-roll era, which leave their imprints through new features on
the energy spectrum of the gravitational waves as would be measured today,
including a new maximum on the low frequency end of the spectrum.
