Standstill Electric Charge Generates Magnetostatic Field under Born-Infeld Electrodynamics |
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Authors: | S. O. Vellozo J. A. Helayël Neto A. W. Smith L. P. G. De Assis |
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Affiliation: | (1) Centro Tecnologico do Exército—CTEx, Av. das Americas 28705, 230020-470 Rio de Janeiro, RJ, Brasil;(2) Centro Brasileiro de Pesquisas Física —CBPF, Rua Dr. Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJ, Brasil;(3) Grupo de Física Teórica José Leite Lopes, P.O. Box 91933, 25685-970 Petrópolis, RJ, Brasil;(4) Departamento de Física, Universidade Federal Rural do Rio de Janeiro, BR 465-07, 23851-180 Seropédica, RJ, Brasil |
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Abstract: | The Abelian Born-Infeld classical non-linear Electrodynamic has been used to investigate the electric and magnetostatic fields generated by a point-like electric charge at rest in an inertial frame. The results show a rich internal structure for the charge. Analytical solutions have also been found. Such fields configurations have been interpreted in terms of vacuum polarization and magnetic-like charges produced by the very high strengths of the electric field considered. Apparently non-linearity is responsible for the emergence of an anomalous magnetostatic field suggesting a possible connection to that created by a magnetic dipole composed of two magnetic charges with opposite signs. Consistently in situations where the Born-Infeld field strength parameter is free to become infinite, Maxwell’s regime takes over, the magnetic sector vanishes and the electric field assumes a Coulomb behavior with no trace of a magnetic component. The connection to other monopole solutions, like Dirac’s and ’tHooft’s Poliakov’s types are also discussed. Finally, some speculative remarks are presented in an attempt to explain such fields. |
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Keywords: | Born-Infeld Nonlinear electrodynamics Magnetic dipole Exact close form solution |
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