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Three-dimensional Noncommutative Gravity

M. Banados·O. Chandia·N. Grandi·F. A. Schaposnik·G. A. Silva
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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 $T^2 \times R$ 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.

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M. Banados, O. Chandia, N. Grandi, F. A. Schaposnik, G. A. Silva. 2001-05-03. Three-dimensional Noncommutative Gravity. https://doi.org/10.1103/physrevd.64.084012

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