An invariant action for noncommutative gravity in four dimensions

@article{Chamseddine2002AnIA,
  title={An invariant action for noncommutative gravity in four dimensions},
  author={A. Chamseddine},
  journal={Journal of Mathematical Physics},
  year={2002},
  volume={44},
  pages={2534-2541}
}
  • A. Chamseddine
  • Published 2002
  • Mathematics, Physics
  • Journal of Mathematical Physics
Two main problems face the construction of noncommutative actions for gravity with star products: the complex metric and finding an invariant measure. The only gauge groups that could be used with star products are the unitary groups. I propose an invariant gravitational action in D=4 dimensions based on the constrained gauge group U(2,2) broken to U(1,1)×U(1,1). No metric is used, thus giving a naturally invariant measure. This action is generalized to the noncommutative case by replacing… Expand
50 Citations
Noncommutative Gravity in Six Dimensions
  • 1
  • PDF
Noncommutative D=4 gravity coupled to fermions
  • 68
  • PDF
U(2,2) gravity on noncommutative space with symplectic structure
  • 5
  • PDF
SL(2, C) gravity on noncommutative space with Poisson structure
  • 9
  • PDF
Symmetry, gravity and noncommutativity
  • 137
  • PDF
Some models of geometric noncommutative general relativity
  • 15
  • PDF
THE CLIFFORD SPACE GEOMETRY OF CONFORMAL GRAVITY AND U(4) × U(4) YANG–MILLS UNIFICATION
  • 8
  • Highly Influenced
  • PDF
...
1
2
3
4
5
...

References