Exact results on analogue gravity in optical Plebanski-Tamm media

Abstract

Exact results concerning ray-tracing methods in Plebanski-Tamm media are derived. In particular, Hamilton equations describing the propagation of quasi-plane wave electromagnetic fields in the geometrical optics regime are explicitly written down in terms of the 3-metric representing the properties of the optical analogue, anisotropic medium. We exemplify our results by obtaining the trajectories of light in the resulting analogue medium recreating Gödel's universe.

12 pages, 9 figures, Final version accepted in Phys. Rev. D

References in corpus (5)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• A Completely Covariant Approach to Transformation Optics
• Visualization of the Gödel universe
• Generalized Transformation Optics of Linear Materials
• Ray trajectories for a spinning cosmic string and a manifestation of self-cloaking

Cited by in corpus (4)

• Chronology Protection Implementation in Analogue Gravity
• Shedding Light on Naked Singularities
• Exact results in a punctured neighborhood of a strong curvature singularity
• Can Light Cross a Singularity? Exact Solutions from Analogue Gravity