Noncommutative Solitons of Gravity

@article{Asakawa2009NoncommutativeSO,
  title={Noncommutative Solitons of Gravity},
  author={T. Asakawa and Shinpei Kobayashi},
  journal={Classical and Quantum Gravity},
  year={2009},
  volume={27},
  pages={105014}
}
We investigate a three-dimensional gravitational theory on a noncommutative space which has a cosmological constant term only. We found various kinds of nontrivial solutions by applying a similar technique which was used to seek noncommutative solitons in noncommutative scalar field theories. Some of those solutions correspond to bubbles of spacetimes or represent dimensional reduction. The solution which interpolates G?? = 0 and the Minkowski metric is also found. All solutions we obtained are… Expand

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