Surplus solid angle as an imprint of Hořava-Lifshitz gravity

We consider the electrostatic field of a point charge coupled to Ho r rava-Lifshitz gravity and find an exact solution describing the space with a surplus (or deficit) solid angle. Although, theoretically in general relativity, a surplus angle is hardly to be obtained in the presence of ordinary matter with positive energy distribution, it seems natural in Ho r rava-Lifshitz gravity. We present the sudden disappearance and reappearance of a star image as an astrophysical effect of a surplus angle. We also consider matter configurations of all possible power law behaviors coupled to Ho r rava-Lifshitz gravity and obtain a series of exact solutions.