Gravitational fields on a noncommutative space

@article{Nair2003GravitationalFO,
  title={Gravitational fields on a noncommutative space},
  author={V. P. Nair},
  journal={Nuclear Physics},
  year={2003},
  volume={651},
  pages={313-327}
}
Abstract Noncommutative three-dimensional gravity can be described in terms of a noncommutative Chern–Simons theory. We extend this structure and also propose an action for gravitational fields on an even-dimensional noncommutative space. The action is worked out in some detail for fields on a noncommutative CP 2 and on S4. 
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