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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This makes the metric complex when J = 0. The Euclidean action is given by iI = −I Euc . Although correct in the case at hand, making imaginary a particular coordinate in a generally covariant theory
We thank E.Witten for pointing this out to us
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Electronic address: cecsnet@uchcecvm.bitnet
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