A Noncommutative Deformation of General Relativity
arXiv:hep-th/0310009 · doi:10.1016/j.physletb.2003.10.002
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.
7 pages, to be published in Phys. Lett. B