  We investigate the renormalization group flow of projectable Horava gravity
in $(3+1)$ dimensions generated by marginal operators with respect to the
Lifshitz scaling. The flow possesses a number of asymptotically free fixed
points. We find a family of trajectories connecting one of these fixed points
in the ultraviolet to the region of the parameter space where the kinetic term
of the theory acquires the general relativistic form. The gravitational
coupling exhibits non-monotonic behavior along the flow, vanishing both in the
ultraviolet and the infrared.

High Energy Physics - Theory;General Relativity and Quantum Cosmology