Polarized initial states of primordial gravitational waves

Abstract

Polarizations of primordial gravitational waves can be relevantwhen considering an inflationary universe inmodified gravity or whenmatter fields survive during inflation. Such polarizations have been discussed in the Bunch-Davies vacuum. Instead of taking into account the dynamical generation of polarizations of gravitational waves, in this paper, we consider polarized initial states constructed from SU(2) coherent states. We then evaluate the power spectrums of the primordial gravitational waves in the states.