Next Article in Journal
Fibonacci–Mann Iteration for Monotone Asymptotically Nonexpansive Mappings in Modular Spaces
Next Article in Special Issue
Lorentz-Violating Gravity Models and the Linearized Limit
Previous Article in Journal
Local Importance Representation Convolutional Neural Network for Fine-Grained Image Classification
Previous Article in Special Issue
Is There Any Symmetry Left in Gravity Theories with Explicit Lorentz Violation?
Article Menu
Issue 10 (October) cover image

Export Article

Open AccessArticle
Symmetry 2018, 10(10), 480;

Relating Noncommutative SO(2,3) Gravity to the Lorentz-Violating Standard-Model Extension

Physics Department, Embry-Riddle Aeronautical University, Prescott, AZ 86301, USA
Department of Physics, Berry College, Mount Berry, GA 30149, USA
IU Center for Spacetime Symmetries, Indiana University, Bloomington, IN 47405, USA
Author to whom correspondence should be addressed.
Received: 3 September 2018 / Revised: 1 October 2018 / Accepted: 3 October 2018 / Published: 11 October 2018
(This article belongs to the Special Issue Broken Symmetry in Curved Spacetime and Gravity)
PDF [803 KB, uploaded 17 October 2018]


We consider a model of noncommutative gravity that is based on a spacetime with broken local SO(2,3) symmetry. We show that the torsion-free version of this model is contained within the framework of the Lorentz-violating Standard-Model Extension (SME). We analyze in detail the relation between the torsion-free, quadratic limits of the broken SO(2,3) model and the Standard-Model Extension. As part of the analysis, we construct the relevant geometric quantities to quadratic order in the metric perturbation around a flat background. View Full-Text
Keywords: Lorentz violation; noncommutative geometry; gravity Lorentz violation; noncommutative geometry; gravity
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Bailey, Q.G.; Lane, C.D. Relating Noncommutative SO(2,3) Gravity to the Lorentz-Violating Standard-Model Extension. Symmetry 2018, 10, 480.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top