  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. All solutions we obtained are non-perturbative in the
noncommutative parameter $\theta$, therefore they are different from solutions
found in other contexts of noncommutative theory of gravity and would have a
close relation to quantum gravity.

High Energy Physics - Theory;General Relativity and Quantum Cosmology