Non-singular cosmology in a model of non-relativistic gravity
  We present a model of non-relativistic gravitational theory which is
power-counting renormalizable in 3+1 dimensional spacetime. When applied to
cosmology, the relativity-violation terms lead to a dark radiation component,
which can give rise to a bounce if dark radiation possesses negative energy
density. Additionally, we investigate a cyclic extension of the non-singular
cosmology in which the universe undergoes contractions and expansions
periodically. In both scenarios the background theory is well defined at the
quantum level.
