No Black Hole Theorem in Three-Dimensional Gravity

Abstract

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

3 pages, no figures, to be published in Physical Review Letters

References in corpus (2)

• Three Dimensional Black Hole Coupled to the Born-Infeld Electrodynamics
• Spinning Charged Solutions in 2+1 Dimensional Einstein-Maxwell-Dilaton Gravity

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