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Phys. Rev. Lett. 85, 3758–3760 (2000)

No Black-Hole Theorem in Three-Dimensional Gravity

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Daisuke Ida*
Department of Physics, Kyoto University, Kyoto 606-8502, Japan

Received 1 June 2000; published in the issue dated 30 October 2000

A common property of known black-hole solutions in (2+1)-dimensional gravity is that they require a negative cosmological constant. To explain this, it is shown in this Letter that a (2+1)-dimensional gravity theory which satisfies the dominant energy condition forbids the existence of a black hole.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.3758
DOI:
10.1103/PhysRevLett.85.3758
PACS:
04.20.Jb

*Electronic address: ida@tap.scphys.kyoto-u.ac.jp