Geometrical Finiteness, Holography, and the Bañados-Teitelboim-Zanelli Black Hole

Danny Birmingham, Conall Kennedy, Siddhartha Sen, and Andy Wilkins
Phys. Rev. Lett. 82, 4164 – Published 24 May 1999
PDFExport Citation

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 certain class of 3D manifolds is completely determined in terms of the corresponding Teichmüller space of the boundary. We explore the consequences of this theorem in the context of the Euclidean Bañados-Teitelboim-Zanelli black hole in three dimensions.

  • Received 24 December 1998

DOI:https://doi.org/10.1103/PhysRevLett.82.4164

©1999 American Physical Society

Authors & Affiliations

Danny Birmingham*

  • Department of Mathematical Physics, University College Dublin, Belfield, Dublin 4, Ireland

Conall Kennedy, Siddhartha Sen, and Andy Wilkins

  • School of Mathematics, Trinity College Dublin, Dublin 2, Ireland

  • *Email address: dannyb@pop3.ucd.ie
  • Email address: conall@maths.tcd.ie, sen@maths.tcd.ie, andyw@maths.tcd.ie

References (Subscription Required)

Click to Expand
Issue

Vol. 82, Iss. 21 — 24 May 1999

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×