Notes on Spinoptics in a Stationary Spacetime

Understand

In arXiv:1105.5629, equations of the modified geometrical optics for circularly polarized photon trajectories in a stationary spacetime are derived by using a (1+3)-decomposed form of Maxwell's equations.

• We derive the same results by using a four-dimensional covariant description.
• In our procedure, the null nature of the modified photon trajectory naturally appears and the energy flux is apparently null.
• We find that, in contrast to the standard geometrical optics, the inner product of the stationary Killing vector and the tangent null vector to the modified photon trajectory is no longer a conserved quantity along light paths.