Pseudo-conformal Universe: late-time contraction and generation of
  tensor modes
  We consider a bouncing Universe model which explains the flatness of the
primordial scalar spectrum via complex scalar field that rolls down its
negative quartic potential and dominates in the Universe. We show that in this
model, there exists a rapid contraction regime of classical evolution. We
calculate the power spectrum of tensor modes in this scenario. We find that it
is blue and its amplitude is typically small, leading to mild constraints on
the parameters of the model.
