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

Christian Gérard, Michał Wrochna
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.
open access link Ann. Henri Poincaré 18(8), 2715-2756 (2017)
%%% contains utf-8, see: http://inspirehep.net/info/faq/general#utf8 %%% add \usepackage[utf8]{inputenc} to your latex preamble @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 = "Ann. 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;%%" }

Hadamard states, scattering theory