# Black hole in three-dimensional spacetime.

@article{Baados1992BlackHI, title={Black hole in three-dimensional spacetime.}, author={Ba{\~n}ados and Teitel'boim and Zanelli}, journal={Physical review letters}, year={1992}, volume={69 13}, pages={ 1849-1851 } }

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…

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