Statistical Entropy of Four-Dimensional Rotating Black Holes from Near-Horizon Geometry

Mirjam Cvetič and Finn Larsen
Phys. Rev. Lett. 82, 484 – Published 18 January 1999
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Abstract

We show that a class of four-dimensional rotating black holes allow five-dimensional embeddings as black rotating strings. Their near-horizon geometry factorizes locally as a product of the three-dimensional anti–de Sitter space-time and a two-dimensional sphere ( AdS3×S2), with angular momentum encoded in the global space-time structure. Following the observation that the isometries on the AdS3 space induce a two-dimensional (super)conformal field theory on the boundary, we reproduce the microscopic entropy with the correct dependence on the black hole angular momentum.

  • Received 27 May 1998

DOI:https://doi.org/10.1103/PhysRevLett.82.484

©1999 American Physical Society

Authors & Affiliations

Mirjam Cvetič1,2 and Finn Larsen1

  • 1David Rittenhouse Laboratories, University of Pennsylvania, Philadelphia, Pennsylvania 19104
  • 2Institute for Theoretical Physics, University of California, Santa Barbara, California 93106

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Vol. 82, Iss. 3 — 18 January 1999

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