Abstract
The fact that the gravitation could deflect the light trajectory has been confirmed by a large number of observation data, that is consistent with the result calculated by Einstein's gravity. F(R)-gravity is the modification of Einstein's gravity. According to the field equations obtained by the action of the f(R) form, we get a similar Schwarzschild metric. According to the condition that four-dimension momenta of the photon return to zero and that of conservation of covariant momenta, we obtain the equation of motion of the photon in a specific form of f (R)-gravity. We solve the equation to get the gravitational deflection angle of light that grazes the surface of sun and the calculation result is consistent with the experimental observation data.
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