# Hadamard property of the in and out states for Klein-Gordon fields on asymptotically static spacetimes

September 01, 2016

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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@article{Gerard:2016bbj,
author = "Gérard, Christian and Wrochna, Michał",
title = "{Hadamard Property of the in and out States for
Klein–Gordon Fields on Asymptotically Static
Spacetimes}",
journal = "Annales Henri Poincare",
volume = "18",
year = "2017",
number = "8",
pages = "2715-2756",
doi = "10.1007/s00023-017-0573-2",
eprint = "1609.00190",
archivePrefix = "arXiv",
primaryClass = "math-ph",
SLACcitation = "%%CITATION = ARXIV:1609.00190;%%"
}

Keywords:

Hadamard states, scattering theory