If light passes near a massive object, the gravitational interaction causes a bending of the ray. This can be thought of as happening due to a change in the effective refrative index of the medium given by $$n(r) = 1 + 2 \frac{GM}{rc^2}$$ where $r$ is the distance of the point of consideration from the centre of the mass of the massive body, G is the universal gravitational constant, M the mass of the body and c the speed of light in vacuum. Considering a spherical object find the deviation of the ray from the original path as it grazes the object.
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$\begingroup$ Possible duplicates: physics.stackexchange.com/q/130552/2451 , physics.stackexchange.com/q/122319/2451 and links therein. $\endgroup$– Qmechanic ♦Commented Mar 9, 2019 at 11:54
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$\begingroup$ Solve the eikonal in spherical coordinates. $\endgroup$– user591849Commented Mar 9, 2019 at 20:19
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