Noncommutative Solitons of Gravity

Understand

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 $G_{\mu\nu}=0$ and Minkowski metric is also found.