We study spinoptics equations in the Schwarzschild spacetime. We demonstrate that using the explicit and hidden symmetries of this metric one can explicitly solve the equations for complex null tetrad associated with null rays representing photon's and graviton's motion. This allows one to integrate the spinoptics equations both for the electromagnetic and gravitational waves. It is shown that the main effect of the interaction of the spin of these fields with the spacetime curvature is the tilt of the asymptotic planes of the massless particle orbit. The corresponding tilting angle is calculated. It is shown that this angle grows when a null ray passes in the vicinity of the circular null orbit located at r=3M.

中文翻译：

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史瓦西时空的自旋光学


我们研究了 Schwarzschild 时空中的 spinoptics 方程。我们证明，使用该度量的显式和隐对称性，可以显式求解与代表光子和引力子运动的零射线相关的复零四元组的方程。这允许对电磁波和引力波的自旋光学方程进行积分。结果表明，这些场的自旋与时空曲率相互作用的主要效应是无质量粒子轨道的渐近平面的倾斜。计算相应的倾斜角度。结果表明，当零光线经过位于 r=3M 的圆形零轨道附近时，这个角度会增大。