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Phys. Rev. D 64, 064024 (2001) [5 pages]

Choptuik scaling and quasinormal modes in the anti–de Sitter space/conformal-field theory correspondence

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Danny Birmingham*
Department of Mathematical Physics, University College Dublin, Belfield, Dublin 4, Ireland

Received 31 January 2001; published 28 August 2001

We establish an exact connection between the Choptuik scaling parameter for the three-dimensional Bañados-Teitelboim-Zanelli black hole, and the imaginary part of the quasinormal frequencies for scalar perturbations. Via the anti–de Sitter space/conformal-field theory correspondence, this leads to an interpretation of Choptuik scaling in terms of the time scale for return to equilibrium of the dual conformal field theory.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.64.064024
DOI:
10.1103/PhysRevD.64.064024
PACS:
04.70.Dy, 04.60.Kz, 11.25.Hf

*Email address: dannyb@pop3.ucd.ie