A Comparison of Hořava-Lifshitz Gravity and Einstein Gravity through the Gravitational Deflection of Massive Body around Black Holes.

Horava has proposed a renormalizable gravity theory with higher spatial derivatives in four dimensions. This theory may be regarded as a UV complete candidate for general relativity. After the proposal of this theory, Kehagias and Sfetsos have found a new asymptotically flat black hole solution in Horava-Lifshitz gravity. In recent times, a new test of gravity theory is suggested that assumes the deflection of the massive body around a black hole. In this paper, we will study the effect of the Horava-Lifshitz parameters on the black hole deflection angle and emphasize those features that permit a comparison of Horava-Lifshitz to Einstein gravity.