General relativistic manifestations of orbital angular and intrinsic hyperbolic momentum in electromagnetic radiation

General relativistic effects in the weak field approximation are calculated for intense electromagnetic Laguerre-Gaussian beams. The current work is an extension of previous work on the precession of a spinning neutral particle in the weak gravitational field of an intense optical vortex. Here the metric perturbation is extended to all coordinate configurations and gravitational effects from intrinsic spin and hyperbolic momentum are considered. The final metric perturbation reveals frame-dragging effects due to intrinsic spin angular momentum (SAM), orbital angular momentum (OAM), and spin-orbit (SO) coupling. When investigating the acceleration of test particles in this metric, an unreported gravitational phenomenon was found. This effect is analogous to the motion of charged particles in the magnetic field produced by a current carrying wire. Further calculations showed that the gravitational influence of SAM and OAM only affected test-rays traveling perpendicular to the intense beam and from this a gravitational Aharonov-Bohm analog is pursued.

J. Strohaber, "General relativistic manifestations of orbital angular and intrinsic hyperbolic momentum in electromagnetic radiation," arXiv preprint arXiv:1807.00933(2018).