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Author Asakawa, Tsuguhiko ♦ Kobayashi, Shinpei
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2009-11-11
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics
Subject Keyword High Energy Physics - Theory ♦ General Relativity and Quantum Cosmology ♦ physics:gr-qc ♦ physics:hep-th
Abstract 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.
Description Reference: Class. Quantum Grav. 27 (2010) 105014
Educational Use Research
Learning Resource Type Article
Page Count 29


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