Motion of a Vector Particle in a Curved Spacetime. II First Order Correction to a Geodesic in a Schwarzschild Background

TL;DR

This paper investigates how the spin of a photon affects its trajectory in curved spacetimes, deriving first-order corrections to geodesic motion and revealing that spinning photons do not follow planar world-lines.

Contribution

It provides the first-order correction to photon geodesics in Schwarzschild spacetime considering spin effects, highlighting non-planar photon trajectories.

Findings

Photon world-lines are non-planar due to spin effects.

First-order corrections modify standard geodesic paths.

Spin influences photon trajectories in curved spacetime.

Abstract

The influence of spin on a photon's motion in a Schwarzschild and FRW spacetimes is studied. The first order correction to the geodesic motion is found. It is shown that unlike the world-lines of spinless particles, the photons world-lines do not lie in a plane.