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?
Open AccessArticle

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

1
Physics Department, Embry-Riddle Aeronautical University, Prescott, AZ 86301, USA
2
Department of Physics, Berry College, Mount Berry, GA 30149, USA
3
IU Center for Spacetime Symmetries, Indiana University, Bloomington, IN 47405, USA
*
Author to whom correspondence should be addressed.
Symmetry 2018, 10(10), 480; https://doi.org/10.3390/sym10100480
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)
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
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.

AMA Style

Bailey QG, Lane CD. Relating Noncommutative SO(2,3) Gravity to the Lorentz-Violating Standard-Model Extension. Symmetry. 2018; 10(10):480.

Chicago/Turabian Style

Bailey, Quentin G.; Lane, Charles D. 2018. "Relating Noncommutative SO(2,3) Gravity to the Lorentz-Violating Standard-Model Extension" Symmetry 10, no. 10: 480.

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

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop