English

Gravitational Faraday Holonomy

General Relativity and Quantum Cosmology 2025-05-14 v2

Abstract

Closed optical trajectories in Kerr spacetime are engineered to exhibit a marked lack of symmetry. The eccentricity manifests as a holonomy in gravitational Faraday rotation that can be made arbitrarily large by radial translation of the common location of source and receiver. All trajectories are non-equatorial and include a passage through the equatorial plane at the radial turning point, where the trajectory and pseudo-magnetic field are well-aligned. This, combined with path asymmetry, results in a large gravitational Faraday holonomy that lends itself to experimental measurement. Trajectories that start further away from the singularity pass more closely to the ergosphere, thus transiting a more distorted region of spacetime with concomitant amplification of gravitational Coriolis force.

Keywords

Cite

@article{arxiv.2501.07483,
  title  = {Gravitational Faraday Holonomy},
  author = {Blake Parvin and Mark T. Lusk},
  journal= {arXiv preprint arXiv:2501.07483},
  year   = {2025}
}
R2 v1 2026-06-28T21:04:53.491Z