Observers and splitting structures in relativistic electrodynamics

@article{Auchmann2014ObserversAS,
  title={Observers and splitting structures in relativistic electrodynamics},
  author={Bernhard Auchmann and Stefan Kurz},
  journal={Journal of Physics A},
  year={2014},
  volume={47},
  pages={435202}
}
We introduce a relativistic splitting structure as a means to map fields and equations of electromagnetism from curved four-dimensional space?time to three-dimensional observer?s space. We focus on a minimal set of mathematical structures that are directly motivated by the language of the physical theory. Space?time, world-lines, time translation, space platforms and time synchronization all find their mathematical counterparts. The splitting structure is defined without recourse to coordinates… 
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