Chern-Simons formulation of noncommutative gravity in three dimensions

M. Bañados; O. Chandía; N. Grandi; F. A. Schaposnik; G. A. Silva

doi:10.1103/PhysRevD.64.084012

Chern-Simons formulation of noncommutative gravity in three dimensions

M. Bañados, O. Chandía, N. Grandi, F. A. Schaposnik, G. A. Silva

Research output: Contribution to journal › Article › peer-review

65 Scopus citations

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 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.

Original language	English
Article number	084012
Pages (from-to)	840121-840128
Number of pages	8
Journal	Physical Review D
Volume	64
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevD.64.084012
State	Published - 15 Oct 2001
Externally published	Yes

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10.1103/PhysRevD.64.084012

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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 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.",

author = "M. Ba{\~n}ados and O. Chand{\'i}a and N. Grandi and Schaposnik, {F. A.} and Silva, {G. A.}",

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AU - Chandía, O.

AU - Grandi, N.

AU - Schaposnik, F. A.

AU - Silva, G. A.

PY - 2001/10/15

Y1 - 2001/10/15

N2 - 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.

AB - 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.

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Chern-Simons formulation of noncommutative gravity in three dimensions

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