Hexadecapole at the heart of nonlinear electromagnetic fields
| Autor: | Bokulić, Ana, Jurić, Tajron, Smolić, Ivica |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Class. Quantum Grav. 41 (2024) 157002 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1361-6382/ad5c34 |
| Popis: | In classical Maxwell's electromagnetism, monopole term of the electric field is proportional to $r^{-2}$, while higher order multipole terms, sourced by anisotropic sources, fall-off faster. However, in nonlinear electromagnetism even a spherically symmetric field has multipole-like contributions. We prove that the leading subdominant term of the electric field, defined by nonlinear electromagnetic Lagrangian obeying Maxwellian weak field limit, in a static, spherically symmetric, asymptotically flat spacetime, is of the order $O(r^{-6})$ as $r \to \infty$. Moreover, using Lagrange inversion theorem and Fa\`a di Bruno's formula, we derive the series expansion of the electric field from the Taylor series of an analytic electromagnetic Lagrangian. Comment: 9 pages (published version; one footnote added and one sentence expanded) |
| Databáze: | arXiv |
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