Conservation laws and scattering for de Sitter classical particles

@article{Cacciatori2007ConservationLA,
  title={Conservation laws and scattering for de Sitter classical particles},
  author={Sergio Luigi Cacciatori and Vittorio Gorini and Alexander Yu. Kamenshchik and U. Moschella},
  journal={Classical and Quantum Gravity},
  year={2007},
  volume={25},
  pages={075008}
}
Starting from an intrinsic geometric characterization of de Sitter timelike and lightlike geodesics we give a new description of the conserved quantities associated with classical free particles on the de Sitter manifold. These quantities allow for a natural discussion of classical pointlike scattering and decay processes. We also provide an intrinsic definition of the energy of a classical de Sitter particle and discuss its different expressions in various local coordinate systems and their… 

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