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

Published 24 Aug 2016 in math-ph and math.MP | (1608.06739v4)

Abstract: 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 Calder{\'o}n projector for elliptic boundary value problems and pseudodifferential calculus on manifolds, we give a short proof of its Hadamard property.

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