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arXiv · 2405.12602

Interacting Kerr-Newman Electromagnetic Fields

Sajad Aghapour·Lars Andersson·Kjell Rosquist·Tomasz Smołka
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Abstract

In this paper, we study some of the properties of the $G \to 0$ limit of the Kerr-Newman solution of Einstein-Maxwell equations. Noting Carter's observation of the near equality between the $g = 2$ gyromagnetic ratio in the Kerr-Newman solution and that of the electron, we discuss additional such coincidences relating to the Kerr-Newman multipoles and properties of the electron. In contrast to the Coulomb field, this spinning Maxwell field has a finite Lagrangian. Moreover, by evaluating the Lagrangian for the superposition of two such Kerr-Newman electromagnetic fields on a flat background, we are able to find their interaction potential. This yields a correction to the Coulomb interaction due to the spin of the field.

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Sajad Aghapour, Lars Andersson, Kjell Rosquist, Tomasz Smołka. 2024-05-21. Interacting Kerr-Newman Electromagnetic Fields. https://doi.org/10.1103/physrevd.110.104053

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