Hexadecapole at the heart of nonlinear electromagnetic fields

Bokulić, Ana; Jurić, Tajron; Smolić, Ivica (2024) Hexadecapole at the heart of nonlinear electromagnetic fields. Classical and Quantum Gravity, 41 (15). ISSN 0264-9381

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Abstract

In classical Maxwell's electromagnetism, the 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 ->infinity . Moreover, using Lagrange inversion theorem and Fa & agrave; di Bruno's formula, we derive the series expansion of the electric field from the Taylor series of an analytic electromagnetic Lagrangian.

Item Type:	Article
Uncontrolled Keywords:	nonlinear electromagnetic fields; spacetime symmetries; asymptotic conditions
Subjects:	NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Potraga za kvantnim prostorvremenom u spektru KNM za crne rupe i bljeskovima gama zraka-QBHQNMGRB Anđelo Samsarov; Ivica Smolić; Marija Dimitrijević-Ćirić; Salvatore Mignemi; Kumar Shankar Gupta; Nikola Konjik IP-2020-02-9614 HRZZ
Depositing User:	Ema Buhin Šaler
Date Deposited:	10 Apr 2026 08:12
URI:	http://fulir.irb.hr/id/eprint/11647
DOI:	10.1088/1361-6382/ad5c34

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