English

Hadamard state in Schwarzschild-de Sitter spacetime

General Relativity and Quantum Cosmology 2014-12-09 v4 High Energy Physics - Theory Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1405.7916,
  title  = {Hadamard state in Schwarzschild-de Sitter spacetime},
  author = {Marcos Brum and Sergio E. Jorás},
  journal= {arXiv preprint arXiv:1405.7916},
  year   = {2014}
}

Comments

More 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