Article Dans Une Revue Annales Henri Poincaré Année : 2017

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

Résumé

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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Fait partie de hal-01290886 Preprint Christian Gérard, Michał Wrochna. Feynman propagators and Hadamard states from scattering data for the Klein-Gordon equation on asymptotically Minkowski spacetimes. 2016. ⟨hal-01290886⟩

The original paper was split in two parts for better readability

Dates et versions

hal-01337432 , version 1 (26-06-2016)
hal-01337432 , version 2 (13-03-2017)

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Christian Gérard, Michał Wrochna. Hadamard property of the in and out states for Klein-Gordon fields on asymptotically static spacetimes. Annales Henri Poincaré, 2017, 18 (8), pp.2715-2756. ⟨10.1007/s00023-017-0573-2⟩. ⟨hal-01337432v2⟩
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