Uniqueness is established for time-independent finite-energy electromagnetic fields which solve the nonlinear Maxwell-Born-Infeld equations in boundary-free space under the condition that either the charge or current density vanishes. In addition, it is also shown that the simpler Maxwell-Born equations admit at most one stationary finite-energy electromagnetic field solution, without the above condition. In these theories of electromagnetism the following physical consequences emerge: source-free field solitons moving at speeds less than the vacuum speed of light c do not exist; any electrostatic (resp. magnetostatic) field is the unique stationary electromagnetic field for the same current-density-free (resp. charge-density-free) sources. These results put to rest some interesting speculations in the physics literature.
|Original language||English (US)|
|Number of pages||6|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|State||Published - Oct 31 2011|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)