| Title: |
On the Pre-metric Formulation and Nonlinearization of Charge-free Electrodynamics |
| Authors: |
Donev, Stoil; Tashkova, Maria |
| Publication Year: |
2016 |
| Collection: |
ArXiv.org (Cornell University Library) |
| Subject Terms: |
Mathematical Physics; High Energy Physics - Theory |
| Description: |
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-metric nonlinearization. After some preliminary examples and notes on nonlinearization, we motivate our view for existence and explicit formulation of time stable subsystems of the physical field objects considered. Section 5 presents the formal results of our approach on the pre-metric nonlinear formulations in static case, in time-dependent case, and in space-time formulation. In the Conclusion we give our general view on "why and how to nonlinearize". The Appendix gives a possible formal extension of our aproach to many subsystem field objects. ; 17 pages, no figures. arXiv admin note: text overlap with arXiv:1508.04824 |
| Document Type: |
text |
| Language: |
unknown |
| Relation: |
http://arxiv.org/abs/1603.09360 |
| Availability: |
http://arxiv.org/abs/1603.09360 |
| Accession Number: |
edsbas.579583BB |
| Database: |
BASE |