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

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.

References in corpus (4)

• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmological parameters from SDSS and WMAP
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• An $f(R)$ gravitation for galactic environments

Cited by in corpus (4)

• Deflection of light by rotating regular black holes using the Gauss-Bonnet theorem
• Determination of Angle of Light Deflection in Higher-Derivative Gravity Theories
• Determination of Bending Angle of Light Deflection Subject to Possible Weak and Strong Quantum Gravity Effects
• Studying Gravitational Deflection of Light by Kiselev Black Hole via Homotopy Perturbation Method