Motion of a Vector Particle in a Curved Space-time. IV. Asymptotical shape of caustic

Abstract

The studies of influence of spin on a photon motion in a Schwartzschild 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 the present work is to obtain explicit form of caustic.

arXiv comment6 pages

References in corpus (4)

• Electromagnetic field with constraints and Papapetrou equation
• Motion of a Vector Particle in a Curved Spacetime. I. Lagrangian Approach
• Motion of a Vector Particle in a Curved Spacetime. II First Order Correction to a Geodesic in a Schwarzschild Background
• Motion of a vector particle in a curved space-time. III. Development of techniques of calculation