Black hole in threedimensional spacetime
Abstract
The standard EinsteinMaxwell equations in 2+1 spacetime dimensions, with a negative cosmological constant, admit a black hole solution. The 2+1 black holecharacterized by mass, angular momentum, and charge, defined by flux integrals at infinityis quite similar to its 3+1 counterpart. Antide 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.
 Publication:

Physical Review Letters
 Pub Date:
 September 1992
 DOI:
 10.1103/PhysRevLett.69.1849
 arXiv:
 arXiv:hepth/9204099
 Bibcode:
 1992PhRvL..69.1849B
 Keywords:

 Black Holes (Astronomy);
 Cosmology;
 Einstein Equations;
 Entropy;
 Maxwell Equation;
 Euclidean Geometry;
 Hamiltonian Functions;
 Quantum Theory;
 Thermodynamic Properties;
 Astrophysics;
 04.20.Jb;
 97.60.Lf;
 Exact solutions;
 Black holes;
 High Energy Physics  Theory
 EPrint:
 This version is the one that appeared in PRL (1992), and has important improvements with respect to the one previously submitted to the archive. 13 pages, latex, no figures