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

Christian Gérard (1) , Michał Wrochna (2)

1 LMO - Laboratoire de Mathématiques d'Orsay
2 IF - Institut Fourier

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.

Mots clés: Hadamard states; microlocal spectrum condition; curved spacetimes; pseudo-differential calculus; scattering theory

Domaines: Physique mathématique [math-ph]; Physique des Hautes Energies - Théorie [hep-th]

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⟩