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Phys. Rev. Lett. 82, 484–487 (1999)

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

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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

Received 27 May 1998; published in the issue dated 18 January 1999

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.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.484
DOI:
10.1103/PhysRevLett.82.484
PACS:
04.70.Dy, 11.25.Mj