Large scale evolution of the curvature perturbation in Horava-Lifshitz
  cosmology
  In the non-relativistic theory of gravity recently proposed by Horava, the
Hamiltonian constraint is not satisfied locally at each point in space. The
absence of the local Hamiltonian constraint allows the system to have an extra
dark-matter-like component as an integration constant. We discuss consequences
of this fact in the context of cosmological perturbations, paying a particular
attention to the large scale evolution of the curvature perturbation. The
curvature perturbation is defined in a gauge invariant manner with this ``dark
matter'' taken into account. We then clarify the conditions under which the
curvature perturbation is conserved on large scales. This is done by using the
evolution equations.
