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Quantization of AdS3 Black Holes in External Fields: Semiclassical Results from Pure Gravity

Roberto Emparan and Ivo Sachs
Phys. Rev. Lett. 81, 2408 – Published 21 September 1998
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Abstract

(2+1)-dimensional anti–de Sitter (AdS) gravity is quantized in the presence of an external scalar field. We find that the coupling between the scalar field and gravity is equivalently described by a perturbed conformal field theory at the boundary of AdS3. This allows us to perform a microscopic computation of the transition rates between black hole states due to absorption and induced emission of the scalar field. Detailed thermodynamic balance then yields Hawking radiation as spontaneous emission, and we find agreement with the semiclassical result, including greybody factors. This result also has application to four and five-dimensional black holes in supergravity.

  • Received 24 June 1998

DOI:https://doi.org/10.1103/PhysRevLett.81.2408

©1998 American Physical Society

Authors & Affiliations

Roberto Emparan and Ivo Sachs

  • Department of Mathematical Sciences, University of Durham, Science Site, Durham DH1 3LE, United Kingdom

See Also

Black Holes with No Strings Attached

Phys. Rev. Focus 2, 13 (1998)

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Vol. 81, Iss. 12 — 21 September 1998

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