MOTION OF A VECTOR PARTICLE IN A CURVED SPACETIME IV: ASYMPTOTICAL SHAPE OF CAUSTIC

The studies of influence of spin on a photon motion in a Schwarzschild spacetime is continued. In the previous paper 2 the first-order correction to the geodesic motion is reduced to a non-uniform linear ordinary differential equation and the equation obtained has been solved by the standard method of integration of the Green function. If each photon draws a world line specified by this solution, then light rays from infinitely distant source form a caustic which does not appear without the spin-gravity interaction. The goal of this work is to obtain explicit form of caustic.

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