Some uniqueness results for stationary solutions to the Maxwell-Born-Infeld field equations and their physical consequences

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Abstract

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 languageEnglish (US)
Pages (from-to)3925-3930
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume375
Issue number45
DOIs
StatePublished - Oct 31 2011

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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