Covariant kinematics of light in media and a generalized Raychaudhuri equation

@article{Thompson2017CovariantKO,
  title={Covariant kinematics of light in media and a generalized Raychaudhuri equation},
  author={Robert T. Thompson and Mohsen Fathi},
  journal={Physical Review D},
  year={2017},
  volume={96},
  pages={105006}
}
There is ongoing interest in adopting various tools and ideas from general relativity for optical applications and the study of light propagation through natural or engineered media. Here, the covariant kinematics of light propagating through arbitrary dielectric media in curved space-times are derived, allowing for analysis and tracing of congruences of light through media that may smoothly vary in character between vacuum, positively refracting, and negatively refracting; or null, timelike… 
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