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title: "STANDSTILL ELECTRIC CHARGE GENERATES MAGNETOSTATIC FIELD UNDER BORN-INFELD ELECTRODYNAMICS • CBPF Index"
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**Physics Note****Published**

# **STANDSTILL ELECTRIC CHARGE GENERATES MAGNETOSTATIC FIELD UNDER BORN-INFELD ELECTRODYNAMICS**

**José Abdalla Helayel Neto; Alexander William Smith; S.O. Vellozo**

01/08/2008

[**Download PDF **0.2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbac49/pdf) [**Contact owner**](mailto:lpgassis@cbpf.br?subject=STANDSTILL%20ELECTRIC%20CHARGE%20GENERATES%20MAGNETOSTATIC%20FIELD%20UNDER%20BORN-INFELD%20ELECTRODYNAMICS)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>José Abdalla Helayel Neto; Alexander William Smith; S.O. Vellozo</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>08/01/2008</dd>

<dt>Description</dt>
<dd>The Abelian Born-Infeld classical non-linear electrodynamic has been used to investigate the electric and magnetostatic fields generated by a point-like electrical charge at rest in an inertial frame. The results show a rich internal structure for the charge. Analytical solutions have also been found. Such findings 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 to be accounted for the emergence of an anomalous magnetostatic field suggesting a possible connection to that created by a magnetic dipole composed of two mognetic charges with opposite signals. 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, t' Hooft`s or Poliakov`s types, are also discussed. Finally some speculative remarks are presented in an attempt to explain such fields.</dd>

<dt>Year</dt>
<dd>2007</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

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```

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