Chern-Simons formulation of noncommutative gravity in three dimensions

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 x R and show that the 3D black hole solves the noncommutative equations. We then consider the black hole on a constant U(1) bac...

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Autores principales: Bañados, M., Chandia, O., Grandi, Nicolás Esteban, Schaposnik, Fidel Arturo, Silva, Guillermo Ariel
Formato: Articulo
Lenguaje:Inglés
Publicado: 2001
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125884
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Sumario: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 x 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.