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On the pre-metric formulation and nonlinearization of charge-free electrodynamics. (English) Zbl 1348.78005

The authors elaborate mathematical procedures of multilinear algebra and differential geometry to enlighten details of the pre-metric formulation of charge free electrodynamics applying both the classical and relativistic approach. They treated and analyzed electromagnetic field objects in static and time dependent nonlinear cases, and in space-time representation.

MSC:

78A02 Foundations in optics and electromagnetic theory
78A25 Electromagnetic theory (general)
83A05 Special relativity
53B50 Applications of local differential geometry to the sciences
15A99 Basic linear algebra
37K25 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry
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