Please use this identifier to cite or link to this item: https://physrep.ff.bg.ac.rs/handle/123456789/242
Title: AdS-inspired noncommutative gravity on the Moyal plane
Authors: Dimitrijević-Ćirić, Marija 
Radovanović, Voja 
Atefančić, Hrvoje
Issue Date: 27-Nov-2012
Journal: Physical Review D - Particles, Fields, Gravitation and Cosmology
Abstract: 
We consider noncommutative gravity on a space with canonical noncommutativity that is based on the commutative MacDowell-Mansouri action. Gravity is treated as gauge theory of the noncommutative SO(1,3) group, and the Seiberg-Witten map is used to express noncommutative fields in terms of the corresponding commutative fields. In the commutative limit the noncommutative action reduces to the Einstein-Hilbert action plus the cosmological term and the topological Gauss-Bonnet term. After the Seiberg-Witten expansion in the noncommutative parameter the first order correction to the action, as expected, vanishes. We calculate the second order correction and write it in a manifestly gauge covariant way. © 2012 American Physical Society.
URI: https://physrep.ff.bg.ac.rs/handle/123456789/242
ISSN: 1550-7998
DOI: 10.1103/PhysRevD.86.105041
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