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High Energy Physics - Theory

arXiv:hep-th/0506157 (hep-th)
[Submitted on 19 Jun 2005 (v1), last revised 27 Jun 2005 (this version, v2)]

Title:Noncommutative General Relativity

Authors:Xavier Calmet, Archil Kobakhidze
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Abstract: 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.
Comments: v2: 10 pages, Discussion on noncommutative coordinate transformations has been changed. Corresponding changes have been made throughout the paper
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:hep-th/0506157
  (or arXiv:hep-th/0506157v2 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0506157
Journal reference: Phys.Rev.D72:045010,2005
Related DOI: https://doi.org/10.1103/PhysRevD.72.045010

Submission history

From: Xavier Calmet [view email]
[v1] Sun, 19 Jun 2005 12:10:56 UTC (7 KB)
[v2] Mon, 27 Jun 2005 16:28:26 UTC (8 KB)
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