The Black Hole in Three Dimensional Space Time

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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This version is the one that appeared in PRL (1992), and has important improvements with respect to the one previously submitt

Scientific paper

10.1103/PhysRevLett.69.1849

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.

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