Noncommutative general relativity

Calmet, Xavier and Kobakhidze, Archil (2005) Noncommutative general relativity. Physical Review D, 72 (4). ISSN 1550-7998

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We define a theory of noncommutative general relativity for canonical noncommutative spaces. We find a subclass of general coordinate transformations acting on canonical noncommutative spacetimes to be volume-preserving transformations. Local Lorentz invariance is treated as a gauge theory with the spin connection field taken in the so(3,1) enveloping algebra. The resulting theory appears to be a noncommutative extension of the unimodular theory of gravitation. We compute the leading order noncommutative correction to the action and derive the noncommutative correction to the equations of motion of the weak gravitation field.

Item Type: Article
Additional Information: Article Number: 045010
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Depositing User: Xavier Calmet
Date Deposited: 06 Feb 2012 21:28
Last Modified: 03 Jul 2019 02:36

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