PhysRevD.72.045010.pdf (85.88 kB)
Noncommutative general relativity
journal contribution
posted on 2023-06-08, 10:05 authored by Xavier CalmetXavier Calmet, Archil KobakhidzeWe 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.
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- Published
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Physical Review DISSN
1550-7998Publisher
American Physical SocietyExternal DOI
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4Volume
72Department affiliated with
- Physics and Astronomy Publications
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Article Number: 045010Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06First Open Access (FOA) Date
2016-03-22First Compliant Deposit (FCD) Date
2017-03-06Usage metrics
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