No 3d Black Hole Theorem for Trapping Horizon

Physics

Scientific paper

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Scientific paper

The BTZ black hole and other black hole solutions in three-dimensions live only in space-time with a negative cosmological constant, otherwise require some negative energy source. We explain this situation by establishing the non-existence theorem of black holes in three-dimensional gravith which satisfies the dominant energy condition. The theorem is given both for apparent horizons and trapping horizons.

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