2004/04/30 by V. G. Bagrov, В. Г. Багров, M. C. Baldiotti +3
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Geophysics and Sensor Technology #High-pressure geophysics and materials #Mechanical and Optical Resonators #math-ph #math.MP #msc:34A05 #msc:34A30 #msc:78A60 #msc:81Q05 #msc:81V80 #quant-ph
paper · pdf · doi:10.1002/andp.200410138
published as Ann. Phy. 14, No.6, pp. 390-397 (2005) · 10 pages
arxiv created 2004/09/22 · openalex publication_date 2005/04/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The axioms of topological electromagnetism that were given by Hehl, Obukhov, and Rubilar are refined by the use of geometrical and topological notions that are found on orientable manifolds. The central problem of defining the spacetime electromagnetic constitutive law in terms of the geometrical and topological structure of the spacetime manifold is elaborated upon in the linear and nonlinear cases. The manner by which the spacetime metric might follow from the electromagnetic constitutive law is examined in the linear case. The possibility that the intersection form of the spacetime manifold might play a role in defining a topological basis for a nonlinear electromagnetic constitutive law is explored. The manner by which electromagnetic wave motion relates to the geometric structure is also discussed.