Noncommutative General Relativity

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dc.creatorCalmet, Xavier
dc.creatorKobakhidze, Archil
dc.date2005-06-19
dc.date2005-06-27
dc.date.accessioned2026-07-07T11:43:51Z
dc.date.available2026-07-07T11:43:51Z
dc.descriptionWe 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.
dc.descriptionv2: 10 pages, Discussion on noncommutative coordinate transformations has been changed. Corresponding changes have been made throughout the paper
dc.identifierhttps://arxiv.org/abs/hep-th/0506157
dc.identifierhttp://arxiv.org/abs/hep-th/0506157
dc.identifierPhys.Rev.D72:045010,2005
dc.identifierdoi:10.1103/PhysRevD.72.045010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201391
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.titleNoncommutative General Relativity
dc.typetext

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