Chern-Simons formulation of noncommutative gravity in three dimensions

M BAÑADOS; O CHANDÍA; N E GRANDI; F A SCHAPOSNIK; G A SILVA

PHYSICAL REVIEW D - PARTICLE AND FILDS

Año: 2001 vol. D64 p. 84012 - 84020

0556-2821

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 T2×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.