English

Three-dimensional Noncommutative Gravity

High Energy Physics - Theory 2009-08-13 v2

Abstract

We formulate noncommutative three-dimensional (3d) gravity by making use of its connection with 3d Chern-Simons theory. In the Euclidean sector, we consider the particular example of topology T2×RT^2 \times R and show that the 3d black hole solves the noncommutative equations. We then consider the black hole on a constant U(1) background and show that the black hole charges (mass and angular momentum) are modified by the presence of this background.

Keywords

Cite

@article{arxiv.hep-th/0104264,
  title  = {Three-dimensional Noncommutative Gravity},
  author = {M. Banados and O. Chandia and N. Grandi and F. A. Schaposnik and G. A. Silva},
  journal= {arXiv preprint arXiv:hep-th/0104264},
  year   = {2009}
}

Comments

Latex, 18 pages. References added