Geometrical Finiteness, Holography, and the BTZ Black Hole

Details Geometrical Finiteness, Holography, and the BTZ Black Hole Geometrical Finiteness, Holography, and the BTZ Black Hole

1998-12-22

arxiv.org/abs/hep-th/9812206v2

Phys.Rev.Lett. 82 (1999) 4164-4167

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, Latex, Version to appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.82.4164

We show how a theorem of Sullivan provides a precise mathematical statement
of a 3d holographic principle, that is, the hyperbolic structure of a certain
class of 3d manifolds is completely determined in terms of the corresponding
Teichmuller space of the boundary. We explore the consequences of this theorem
in the context of the Euclidean BTZ black hole in three dimensions.

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