Please use this identifier to cite or link to this item: https://physrep.ff.bg.ac.rs/handle/123456789/272
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

Show full item record

SCOPUSTM   
Citations

13
checked on Oct 31, 2024

Page view(s)

31
checked on Nov 5, 2024

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.