Noncommutative deformation of four dimensional Einstein gravity

Details Noncommutative deformation of four dimensional Einstein gravity Noncommutative deformation of four dimensional Einstein gravity

2002-12-05

arxiv.org/abs/hep-th/0212071v4

Class.Quant.Grav. 20 (2003) L95-L104

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 11 pages, comments added, to appear in Classical and Quantum Gravity

Scientific paper

We construct a model for noncommutative gravity in four dimensions, which reduces to the Einstein-Hilbert action in the commutative limit. Our proposal is based on a gauge formulation of gravity with constraints. While the action is metric independent, the constraints insure that it is not topological. We find that the choice of the gauge group and of the constraints are crucial to recover a correct deformation of standard gravity. Using the Seiberg-Witten map the whole theory is described in terms of the vierbeins and of the Lorentz transformations of its commutative counterpart. We solve explicitly the constraints and exhibit the first order noncommutative corrections to the Einstein-Hilbert action.

Affiliated with

Also associated with

No associations

Rating

Noncommutative deformation of four dimensional Einstein gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Noncommutative deformation of four dimensional Einstein gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noncommutative deformation of four dimensional Einstein gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-702946