Abstract
We investigate possible modifications on the gravitational deflection of light. Two forms of deformation of the Schwarzschild spacetime are proposed. The first ansatz is a given Finslerian line element; it could be regarded as a weak quantum gravity effect on the Schwarzschild spacetime. Starting from this ansatz, we deduce the deflection angle of the light ray which passes a weak gravitational source. The second ansatz could be regarded as a quantum vacuum effect on the Schwarzschild spacetime. The deflection angle of the light ray which passes a weak gravitational source is deduced in this Riemannian spacetime. This vacuum effect may distinguish the mixed light rays in the absence of gravitational source by a “spectroscope” (the gravitational source). The solutions of the gravitational field equation in this Riemannian spacetime imply this issue.
- Received 4 July 2010
DOI:https://doi.org/10.1103/PhysRevD.82.124009
© 2010 The American Physical Society