Optical Polarization Holonomy in the Kerr Metric

Abstract

Polarization holonomy is analytically determined for a class of closed, spherical trajectories of light transiting a black hole in the Kerr metric. The leading order geometric optics approximation admits a closed-form expression of such paths, and sets of source/receiver locations are quantified for a spectrum of black hole angular momenta. A conserved, conformal Yano-Killing scalar is then exploited to determine the evolving polarization. Polarization holonomy, the angle between outgoing and incoming polarizations, is quantified for the spectrum of admissible direct and retrograde trajectories. This offers a means of experimentally measuring Gravitational Faraday Rotation from a single, stationary position.

11 pages, 7 figures

References in corpus (6)

• Non-Abelian Anyons and Topological Quantum Computation
• Geometrodynamics of Spinning Light
• Extremal Kerr black holes as amplifiers of new physics
• Null and time-like geodesics in Kerr-Newman black hole exterior
• The Anatomy of Geometric Phase for an Optical Vortex Transiting a Lens
• Phase-resolved measurement of entangled states via common-path interferometry

Cited by in corpus (3)

• The precession of particle spin in spherical symmetric spacetimes
• Achromatic, spin-odd Kerr EVPA as a null Frenet-Serret torsion integral on the photon ring
• An Analytical Formula for Gravitational Faraday Rotation in the ADM Split of Spacetime