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arxiv: gr-qc/0005129 · v2 · submitted 2000-05-31 · 🌀 gr-qc

No Black Hole Theorem in Three-Dimensional Gravity

classification 🌀 gr-qc
keywords blackgravityholedimensionalabovecommonconditionconstant
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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.

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