On the Hartle-Hawking-Israel states for spacetimes with static bifurcate Killing horizons

Christian Gérard (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

We revisit the construction by Sanders [S1] of the Hartle-Hawking-Israel state for a free quantum Klein-Gordon field on a spacetime with a static, bifurcate Killing horizon and a wedge reflection. Using the notion of the Calderón projector for elliptic boundary value problems and pseudodifferential calculus on manifolds, we give a short proof of its Hadamard property.

Mots clés: Calder\'{o}n projector; Hartle-Hawking state; pseudo-differential calculus; Killing horizons; Hadamard states

Domaines: Physique mathématique [math-ph]

Christian Gérard. On the Hartle-Hawking-Israel states for spacetimes with static bifurcate Killing horizons. 2018. ⟨hal-01355578v4⟩