Holographic relationships between entanglement entropy on the boundary of a
spacetime and the area of minimal surfaces in the bulk provide an important
entry in the bulk/boundary dictionary. While constructing the necessary causal
and entanglement wedges is well understood in asymptotically AdS spacetimes,
less is known about the equivalent constructions in spacetimes with different
asymptotics. In particular, recent attempts to construct entanglement and
causal wedges for asymptotically Lifshitz solutions in relativistic
gravitational theories have proven problematic. We note a simple observation,
that a Lifshitz bulk theory, specifically a covariant formulation of
Ho\v{r}ava-Lifshitz gravity coupled to matter, has causal propagation defined
by Lifshitz modes. We use these modes to construct causal and entanglement
wedges and compute the geometric entanglement entropy, which in such a
construction matches the field theory prescription.
