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Title: | Noncommutative gravity and the relevance of the θ-constant deformation | Authors: | Dimitrijević-Ćirić, Marija Nikolić, B. Radovanović, Voja |
Issue Date: | 1-Apr-2017 | Journal: | EPL | Abstract: | The breaking of diffeomorphism invariance in the Moyal-Weyl (θ-constant) noncommutative (NC) space-time is a well-known and a long-standing problem. It makes the construction of NC gravity models and interpretation of their results very difficult. In order to solve this problem in this letter we construct a NC gravity action based on the NC SO(2, 3)∗ gauge group and the Seiberg-Witten expansion. The NC equations of motion show that the noncommutativity plays the role of a source for the curvature and/or torsion. Finally, we calculate the NC corrections to the Minkowski space-time and show that in the presence of noncommutativity the Minkowski space-time becomes curved, but remains torsion-free. More importantly, we show that the coordinate system we are using is given by the Fermi normal coordinates; the NC deformation is constant in this particular reference system. The breaking of diffeomorphism invariance is understood as a consequence of working in a preferred reference system. In an arbitrary reference system, the NC deformation is obtained by an appropriate coordinate transformation. |
URI: | https://physrep.ff.bg.ac.rs/handle/123456789/272 | ISSN: | 0295-5075 | DOI: | 10.1209/0295-5075/118/21002 |
Appears in Collections: | Journal Article |
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