The gravitational deflection of light in \(f(R)\)-gravity. (English) Zbl 1298.83108
Summary: Gravitation deflects light, which has been confirmed by a large number of observation data. \(f(R)\)-gravity is modification of Einstein’s gravity. According to the field equations obtained by the action of the \(f(R)\) form, a similar Schwarzschild metric is obtained. According to the condition that four-dimension momenta of the photon return to zero and conservation of covariant momenta, we obtain an equation of photon motion in a specific form of \(f(R)\)-gravity. We solve the equation to get gravitational deflection angle of light that grazes surface of sun and the calculation result is consistent with the experimental observation data.
MSC:
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
| 83C50 | Electromagnetic fields in general relativity and gravitational theory |
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