  In a recent paper we claimed that there there are no slowly rotating,
stationary, axisymmetric black holes in the infrared limit of Horava-Lifshitz
gravity, provided that they are regular everywhere apart from the central
singularity. Here we point out a subtlety in the equivalence between
Einstein-aether theory and the infrared limit of Horava-Lifshitz gravity which
was missed in our earlier derivation and drastically modifies our conclusion:
our earlier calculations (which are otherwise technically correct) do not
really imply that there are no slowly rotating black holes in Horava-Lifshitz
gravity, but that there are no slowly rotating black holes in the latter that
are also solutions of Einstein-aether theory and vice versa. That is, even
though the two theories share the static, spherically symmetric solutions,
there are no slowly rotating black holes that are solutions to both theories.
We proceed to generate slowly rotating black hole solutions in the infrared
limit of Horava-Lifshitz gravity, and we show that the configuration of the
foliation-defining scalar remains the same as in spherical symmetry, thus these
black holes are expected to posses a universal horizon.
