On the Pre-metric Formulation and Nonlinearization of Charge-free Electrodynamics

@article{Donev2015OnTP,
  title={On the Pre-metric Formulation and Nonlinearization of Charge-free Electrodynamics},
  author={Stoil G. Donev and Maria Tashkova},
  journal={arXiv: Mathematical Physics},
  year={2015}
}
This paper presents a coordinate free pre-metric formulation of charge free Maxwell-Minkowski electrodynamics, and of the developed by the authors non-linear Extended Electrodynamics. First we introduce some formal relations from multilinear algebra and differential geometry to be used further. Then we recall and appropriately modify the existing pre-metric formulation of linear charge free electrodynamics in pre-relativistic and relativistic forms as preparation to turn to corresponding pre… 

References

SHOWING 1-10 OF 16 REFERENCES
Energy-momentum-directed nonlinearization of Maxwell’s equations in the case of a continuous media
  • S. Donev, M. Tashkova
  • Physics
    Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
  • 1995
This paper extends the ideas of Donev & Tashkova (1993) to a relativistic nonlinearization of the classical Maxwell theory in the continuous medium case. The field here is described by a 2-form on
Energy-momentum directed nonlinearization of Maxwell’s pure field equations
  • S. Donev, M. Tashkova
  • Physics, Mathematics
    Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
  • 1993
This paper sets the problem of building a mathematical model of the pure electromagnetic field as composed by non-interacting strictly 3-localized finite solutions of some nonlinearization of pure
Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
Nonlinear Electrodynamics: Lagrangians and Equations of Motion
After a brief discussion of well‐known classical fields we formulate two principles: When the field equations are hyperbolic, particles move along rays like disturbances of the field; the waves
Nonlinear Electrodynamics and QED
The limits of linear electrodynamics are reviewed, and possible directions of nonlinear extension are explored. The central theme is that the qualitative character of the empirical successes of
Geometric View on Photon-Like Objects
Photon-like objects are real massless time-stable and spatially finite physical objects with an intrinsically compatible translational-rotational dynamical structure. They carry energy- momentum and
Electromagnetsm and the Structure of Matter, Worldscientific, 2008; also: From photons to atoms
  • 2012
Contribution to Born ’ s new theory of electromagnetic feld
  • Proc . Roy . Soc . Lond . A
  • 2008
Schrodinger, Contribution to Born’s new theory of electromagnetic feld
  • Proc. Roy. Soc. Lond. A 150,
  • 1935
Tulczyjew, The Graded Lie Algebra of Multivector Fields and the Generalized Lie Derivative of Forms
  • Bull. Acad. Pol. Sci. SMAP
  • 1974
...
...