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

Abstract

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 ($\sim {\Lambda }_W$). An analytic formula for the light deflection angle is obtained. For a propagating photon, the deflection angle $\delta \varphi$ increases with large values of the Ho$\check{r}$ava gravity parameter $\omega$. Under the UV limit $\omega ⟶\infty$, 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 $|\omega M^2|>1.1725\times 10^{-16}$ with 12% precision for Earth system, $|\omega M^2|>8.27649\times 10^{-17}$ with 17% precision for Jupiter system and $|\omega M^2|>8.27650\times 10^{-15}$ with 0.17% precision for solar system.

13 pages, 2 figures; References added; To appear in Gen. Rel. Grav

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