• DOI:10.1063/1.1572199
Corpus ID: 18701201

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

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