English

Single-exterior black holes

General Relativity and Quantum Cosmology 2007-05-23 v1 High Energy Physics - Theory

Abstract

We discuss quantum properties of the single-exterior, geon-type black (and white) holes that are obtained from the Kruskal spacetime and the spinless Banados-Teitelboim-Zanelli hole via a quotient construction that identifies the two exterior regions. For the four-dimensional geon, the Hartle-Hawking type state of a massless scalar field is thermal in a limited sense, but there is a discrepancy between Lorentzian and Riemannian derivations of the geon entropy. For the three-dimensional geon, the state induced for a free conformal scalar field on the conformal boundary is similarly thermal in a limited sense, and the correlations in this state provide support for the holographic hypothesis in the context of asymptotically anti-de Sitter black holes in string theory.

Keywords

Cite

@article{arxiv.gr-qc/9906031,
  title  = {Single-exterior black holes},
  author = {Jorma Louko},
  journal= {arXiv preprint arXiv:gr-qc/9906031},
  year   = {2007}
}

Comments

16 pages, LaTeX with cl2emult.cls, 6 eps figures. (Lectures at the XXXV Karpacz Winter School)

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