Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-11-11
Class. Quantum Grav. 27 (2010) 105014
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, 5 figures. v2: minor corrections done in Section 3.1 and Appendix, references added. v3, v4: typos corrected
Scientific paper
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.
Asakawa Tsuguhiko
Kobayashi Shinpei
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