Please use this identifier to cite or link to this item: https://physrep.ff.bg.ac.rs/handle/123456789/274
Title: A gravity theory on noncommutative spaces
Authors: Aschieri, Paolo
Blohmann, Christian
Dimitrijević-Ćirić, Marija 
Meyer, Frank
Schupp, Peter
Wess, Julius
Issue Date: 7-Sep-2005
Journal: Classical and Quantum Gravity
Abstract: 
A deformation of the algebra of diffeomorphisms is constructed for canonically deformed spaces with constant deformation parameter θ. The algebraic relations remain the same, whereas the comultiplication rule (Leibniz rule) is different from the undeformed one. Based on this deformed algebra, a covariant tensor calculus is constructed and all the concepts such as metric, covariant derivatives, curvature and torsion can be defined on the deformed space as well. The construction of these geometric quantities is presented in detail. This leads to an action invariant under the deformed diffeomorphism algebra and can be interpreted as a θ-deformed Einstein-Hilbert action. The metric or the vierbein field will be the dynamical variable as they are in the undeformed theory. The action and all relevant quantities are expanded up to second order in θ. © 2005 IOP Publishing Ltd.
URI: https://physrep.ff.bg.ac.rs/handle/123456789/274
ISSN: 0264-9381
DOI: 10.1088/0264-9381/22/17/011
Appears in Collections:Journal Article

Show full item record

SCOPUSTM   
Citations

394
checked on Oct 6, 2024

Page view(s)

182
checked on Oct 10, 2024

Google ScholarTM

Check

Altmetric

Altmetric


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