  We investigated purely gravitational domain wall solutions to Horava
nonrelativistic theory of gravity with detailed balance in 3 + 1 dimensions. We
find that for arbitrary values of the running parameter {\lambda} > 1/3 two
branches of membrane solutions exist. For positive values of the cosmo-logical
constant, the solution represents a space that is bounded in the transverse
direction, with singularities sitting at each of the boundaries. For negative
values of the cosmological constant, the solution contains a single membrane
sitting at the center of a space, which extends infinitely in the transverse
direction approaching a Lifshitz metric. In that case there is one additional
degenerate branch, for which the lapse function is undetermined.
