Physics – Mathematical Physics
Scientific paper
2011-07-12
Physics Letters A vol.375, pp. 3925--3930 (2011)
Physics
Mathematical Physics
revised version, streamlined to 13 pages; theorems strengthened; 4 references added; submitted for publication
Scientific paper
Uniqueness results are 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 a unique 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 exits; any purely electrostatic (resp. magnetostatic) field is the unique stationary electromagnetic field for the same current-density-free (resp. charge-density-free) sources. Our results put to rest some interesting speculations in the recent physics literature.
No associations
LandOfFree
Some uniqueness results for stationary solutions to the Maxwell-Born-Infeld field equations and their physical consequences does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Some uniqueness results for stationary solutions to the Maxwell-Born-Infeld field equations and their physical consequences, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some uniqueness results for stationary solutions to the Maxwell-Born-Infeld field equations and their physical consequences will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-565861