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Phys. Rev. Lett. 69, 1849–1851 (1992)

Black hole in three-dimensional spacetime

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Máximo Bañados, Claudio Teitelboim, and Jorge Zanelli
Centro de Estudios Científicos de Santiago, Casilla 16443, Santiago 9, Chile
Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile
Institute for Advanced Study, Olden Lane, Princeton, New Jersey 08540

Received 29 April 1992; published in the issue dated 28 September 1992

The standard Einstein-Maxwell equations in 2+1 spacetime dimensions, with a negative cosmological constant, admit a black hole solution. The 2+1 black hole—characterized by mass, angular momentum, and charge, defined by flux integrals at infinity—is quite similar to its 3+1 counterpart. Anti–de Sitter space appears as a negative energy state separated by a mass gap from the continuous black hole spectrum. Evaluation of the partition function yields that the entropy is equal to twice the perimeter length of the horizon.

© 1992 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.69.1849
DOI:
10.1103/PhysRevLett.69.1849
PACS:
04.20.Jb, 97.60.Lf