A noncommutative deformation of general relativity

Ivan G. Avramidi
2003 Physics Letters B  
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.
doi:10.1016/j.physletb.2003.10.002 fatcat:4jbgcf24dzh45ge2mwdjjmk5ey