## Black hole in three-dimensional spacetime.(English)Zbl 0968.83514

Summary: 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 perimeter length of the horizon.

### MSC:

 83C57 Black holes
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### References:

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