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

2016/08/24 by Christian Gérard, Gérard, Christian
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.1608.06739

openalex publication_date 2016/08/24 · openalex created_date 2016/09/16 · openalex updated_date 2026/08/04

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 Calderón projector for elliptic boundary value problems and pseudodifferential calculus on manifolds, we give a short proof of its Hadamard property.

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