Emergent Abelian Gauge Fields from Noncommutative Gravity

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• Main Author: Stern, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146347
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Emergent Abelian Gauge Fields from Noncommutative Gravity / A. Stern // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 32 назв. — англ.

We construct exact solutions to noncommutative gravity following the formulation of Chamseddine and show that they are in general accompanied by Abelian gauge fields which are first order in the noncommutative scale. This provides a mechanism for generating cosmological electromagnetic fields in an...