  By combining analytical and numerical methods we find that the solutions of
the complete Horava theory with negative cosmological constant that satisfy the
conditions of staticity, spherical symmetry and vanishing of the shift function
are two kinds of geometry: (i) a wormhole-like solution with two sides joined
by a throat and (ii) a single side with a naked singularity at the origin. We
study the second-order effective action. We consider the case when the coupling
constant of the (partial ln N)^2 term, which is the unique deviation from
general relativity in the effective action, is small. At one side the wormhole
acquires a kind of deformed AdS asymptotia and at the other side there is an
asymptotic essential singularity. The deformation of AdS essentially means that
the lapse function N diverges asymptotically a bit faster than AdS. This can
also be interpreted as an anisotropic Lifshitz scaling that the solutions
acquire asymptotically.
