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Noncommutative general relativity

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journal contribution
posted on 2023-06-08, 10:05 authored by Xavier CalmetXavier Calmet, Archil Kobakhidze
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.

History

Publication status

  • Published

File Version

  • Published version

Journal

Physical Review D

ISSN

1550-7998

Publisher

American Physical Society

Issue

4

Volume

72

Department affiliated with

  • Physics and Astronomy Publications

Notes

Article Number: 045010

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

First Open Access (FOA) Date

2016-03-22

First Compliant Deposit (FCD) Date

2017-03-06

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