TY - JOUR

T1 - Exact multicentered static point charge source distributions in the Born–Infeld theory of nonlinear electromagnetism and presence of electric and magnetic currents

AU - Yang, Yisong

N1 - Publisher Copyright:
© 2023 Elsevier Inc.

PY - 2023/11

Y1 - 2023/11

N2 - Exact multicentered solutions to the governing equations of the Born–Infeld nonlinear theory of electrodynamics describing distributions of electric, magnetic, and dyonic point charge sources are constructed explicitly for the first time. The method of construction may effectively be adapted to obtain such solutions in generalized theories as well. As a consequence, the solutions unveil that, in order to achieve a balance between such multicentered electric or magnetic point charge distribution in equilibrium, a static magnetic or electric current must be present, resulting in non-conservativeness of the induced electric or magnetic intensity field, respectively and universally. Moreover, it is also shown that the methods of construction and conclusions drawn in the multicentered situation may be extended to obtain exact solutions and similar conclusions, explicitly, in the situation of continuously distributed charge source problems.

AB - Exact multicentered solutions to the governing equations of the Born–Infeld nonlinear theory of electrodynamics describing distributions of electric, magnetic, and dyonic point charge sources are constructed explicitly for the first time. The method of construction may effectively be adapted to obtain such solutions in generalized theories as well. As a consequence, the solutions unveil that, in order to achieve a balance between such multicentered electric or magnetic point charge distribution in equilibrium, a static magnetic or electric current must be present, resulting in non-conservativeness of the induced electric or magnetic intensity field, respectively and universally. Moreover, it is also shown that the methods of construction and conclusions drawn in the multicentered situation may be extended to obtain exact solutions and similar conclusions, explicitly, in the situation of continuously distributed charge source problems.

KW - Born–Infeld nonlinear electrodynamics

KW - Electric current

KW - Exact multicentered solution

KW - Finite-energy condition

KW - Magnetic current

KW - Non-conservativeness of field

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U2 - 10.1016/j.aop.2023.169463

DO - 10.1016/j.aop.2023.169463

M3 - Article

AN - SCOPUS:85171969489

SN - 0003-4916

VL - 458

JO - Annals of Physics

JF - Annals of Physics

M1 - 169463

ER -