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A noncommutative deformation of general relativity

2003/10/01 by Ivan G. Avramidi, Ivan Avramidi
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/j.physletb.2003.10.002

published as Phys.Lett. B576 (2003) 195-198 · 7 pages, to be published in Phys. Lett. B

arxiv created 2003/10/01 · openalex publication_date 2003/10/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop a novel approach to gravity in which gravity is described by a matrix-valued symmetric two-tensor field and construct an invariant functional that reduces to the standard Einstein-Hilbert action in the commutative limit. We also introduce a gauge symmetry associated with the new degrees of freedom.

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