Exact results on analogue gravity in optical Plebanski-Tamm media
General Relativity and Quantum Cosmology
2021-12-06 v2 Optics
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 G\"odel's universe.
Keywords
Cite
@article{arxiv.2108.12049,
title = {Exact results on analogue gravity in optical Plebanski-Tamm media},
author = {Franco Fiorini and Santiago M. Hernandez and Edith L. Losada},
journal= {arXiv preprint arXiv:2108.12049},
year = {2021}
}
Comments
12 pages, 9 figures, Final version accepted in Phys. Rev. D