Chern-Simons formulation of noncommutative gravity in three dimensions
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields2001Vol. 64(8)
Citations Over TimeTop 11% of 2001 papers
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 topology ${T}^{2}\ifmmode\times\else\texttimes\fi{}R$ 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.