Solar system constraints on asymptotically flat IR modified Horava gravity through light deflection

In this paper, we study the motion of photons around a Kehagias-Sfetsos (KS) black hole and obtain constraints on IR modified Ho$\check{r}$ava gravity without cosmological constant ($\sim Λ_{W}$). An analytic formula for the light deflection angle is obtained. For a propagating photon, the deflection angle $δϕ$ increases with large values of the Ho$\check{r}$ava gravity parameter $ω$. Under the UV limit $ω\longrightarrow \infty$, deflection angle reduces to the result of usual Schwarzschild case, $4GM/R$. It is also found that with increasing scale of astronomical observation system the Ho$\check{r}$ava-Lifshitz gravity should satisfy $|ωM^2|>1.1725 \times10^{-16}$ with 12% precision for Earth system, $|ωM^2| > 8.27649 \times 10^{-17}$ with 17% precision for Jupiter system and $|ωM^2| > 8.27650\times 10^{-15}$ with 0.17% precision for solar system.

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