Slowly moving black holes in khronometric model

We search for solutions describing slowly moving nonrotating black holes in the khronometric model, a modified gravity theory with preferred time (khronon) which arises at low energies from the nonprojectable Hořava gravity. We work in the decoupling limit when the backreaction of the khronon on the metric is small and can be treated perturbatively. For a given black hole velocity, we find a family of solutions parametrized by the khronon propagation speed and regular everywhere outside the universal horizon. On the universal horizon they have a weak singularity manifesting itself in a nonanalyticity of the khronon field. Using the behavior of khronon at infinity we extract the leading black hole sensitivity for which we obtain a simple analytic expression valid throughout the phenomenologically allowed parameter space.