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

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

Corrected an error in the definition of the euclidean operator in Sect. 4

References in corpus (1)

• Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry

Cited by in corpus (3)

• Hadamard states for a scalar field in anti-de Sitter spacetime with arbitrary boundary conditions
• Tunnelling processes for Hadamard states through a 2+1 dimensional black hole and Hawking radiation
• The Hartle-Hawking-Israel state on stationary black hole spacetimes