  General relativistic effects in the weak field approximation are calculated
for electromagnetic Laguerre-Gaussian (LG) 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 optical vortex. In the current work, the
metric perturbation is extended to all coordinate configurations and includes
gravitational effects from circular polarization and intrinsic hyperbolic
momentum. The final metric 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. It was found that the gravitational influence of SAM and OAM
affects test-rays traveling perpendicular to the intense beam and from this a
gravitational Aharonov-Bohm analog is pursued.
