English

The Black Hole in Three Dimensional Space Time

High Energy Physics - Theory 2009-10-22 v3

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9204099,
  title  = {The Black Hole in Three Dimensional Space Time},
  author = {Máximo Bañados and Claudio Teitelboim and Jorge Zanelli},
  journal= {arXiv preprint arXiv:hep-th/9204099},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T15:42:50.807Z