Geometrical finiteness, holography, and the Banados-Teitelboim-Zanelli black hole

Authors
Birmingham, D Kennedy, C Sen, S Wilkins, A
Citation
D. Birmingham et al., Geometrical finiteness, holography, and the Banados-Teitelboim-Zanelli black hole, PHYS REV L, 82(21), 1999, pp. 4164-4167
Citations number
35
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
82
Issue
21
Year of publication
1999
Pages
4164 - 4167
Database
ISI
SICI code
0031-9007(19990524)82:21<4164:GFHATB>2.0.ZU;2-R
Abstract
We show how a theorem of Sullivan provides a precise mathematical statement of a 3D holographic principle, that is, the hyperbolic structure of a cert ain class of 3D manifolds is completely determined in terms of the correspo nding Teichmuller space of the boundary. We explore the consequences of thi s theorem in the context of the Euclidean Banados-Teitelboim-Zanelli black hole in three dimensions. [S0031-9007(99)09228-5].