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arXiv · 2403.08924

Between Maxwell and Born-Infeld: the presence of the magnetic field

Pietro d'Avenia·Jarosław Mederski
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Abstract

Our motivation is to consider an electromagnetic Lagrangian density $\mathcal{L}_q$, depending on a parameter such that, for $q=1$ it corresponds to the Born-Infeld Lagrangian density and for $q=2$ it restores the Maxwell one. The model in the presence of given charge and current densities is investigated. We solve the pure magnetostatic problem for $q\in(6/5,2)$. We also study the electrostatic problem in the presence of an assigned magnetic field for $q\in[1,2)$.

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Pietro d'Avenia, Jarosław Mederski. 2024-03-13. Between Maxwell and Born-Infeld: the presence of the magnetic field. https://arxiv.org/abs/2403.08924

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