The Gravitational Deflection of Light in F(R)-gravity

TL;DR

This paper derives the gravitational deflection angle of light in F(R)-gravity, a modification of Einstein's gravity, and finds it consistent with observational data, extending the understanding of light deflection in alternative gravity theories.

Contribution

It provides a derivation of the light deflection angle in F(R)-gravity and demonstrates its consistency with experimental observations, offering a novel analysis within modified gravity frameworks.

Findings

Deflection angle in F(R)-gravity matches observational data.

Derived Schwarzschild-like metric in F(R)-gravity.

Confirmed compatibility of F(R)-gravity with light deflection observations.

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.