  We study the linearized transport of transverse momentum and charge in a
conjectured field theory dual to a black brane solution of Horava gravity with
Lifshitz exponent $z=1$. As expected from general hydrodynamic reasoning, we
find that both of these quantities are diffusive over distance and time scales
larger than the inverse temperature. We compute the diffusion constants and
conductivities of transverse momentum and charge, as well the ratio of shear
viscosity to entropy density, and find that they differ from their relativistic
counterparts. To derive these results, we propose how the holographic
dictionary should be modified to deal with the multiple horizons and differing
propagation speeds of bulk excitations in Horava gravity. When possible, as a
check on our methods and results, we use the covariant Einstein-Aether
formulation of Horava gravity, along with field redefinitions, to re-derive our
results from a relativistic bulk theory.
