Hadamard Property of the in and out States for Klein–Gordon Fields on Asymptotically Static Spacetimes

@article{Grard2016HadamardPO,
  title={Hadamard Property of the in and out States for Klein–Gordon Fields on Asymptotically Static Spacetimes},
  author={Christian G{\'e}rard and Michał Wrochna},
  journal={Annales Henri Poincar{\'e}},
  year={2016},
  volume={18},
  pages={2715-2756}
}
We consider the massive Klein–Gordon equation on a class of asymptotically static spacetimes (in the long-range sense) with Cauchy surface of bounded geometry. We prove the existence and Hadamard property of the in and out states constructed by scattering theory methods. 
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