Hadamard state in Schwarzschild-de Sitter spacetime

Abstract

We construct a state in the Schwarzschild-de Sitter spacetime which is invariant under the action of its group of symmetries. Our state is not defined in the whole Kruskal extension of this spacetime, but rather in a subset of the maximally extended conformal diagram. The construction is based on a careful use of the bulk-to-boundary technique. We will show that our state is Hadamard and that it is not a KMS state, differently from the case of states constructed in spacetimes containing only one event horizon.

arXiv commentMore emphasis put on the result. 41 pages. Uses natbib and iopart. This version is going to be published in Classical and Quantum Gravity. PACS numbers: 04.62.+v,04.70.Dy,03.65.Fd. arXiv admin note: text overlap with arXiv:0907.1034 by other authors

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• The holographic Hadamard condition on asymptotically Anti-de Sitter spacetimes
• Construction of the Unruh State for a Real Scalar Field on the Kerr-de Sitter Spacetime
• Static sphere observers and geodesics in Schwarzschild-de Sitter spacetime
• Hadamard property of the Unruh state for massless fermions on Kerr spacetime : the large $a$ case