Interacting Kerr-Newman Electromagnetic Fields
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909601824243712 |
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| author | Aghapour, Sajad Andersson, Lars Rosquist, Kjell Smołka, Tomasz |
| author_facet | Aghapour, Sajad Andersson, Lars Rosquist, Kjell Smołka, Tomasz |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12602 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Interacting Kerr-Newman Electromagnetic Fields Aghapour, Sajad Andersson, Lars Rosquist, Kjell Smołka, Tomasz General Relativity and Quantum Cosmology Mathematical Physics Atomic Physics 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. |
| title | Interacting Kerr-Newman Electromagnetic Fields |
| topic | General Relativity and Quantum Cosmology Mathematical Physics Atomic Physics |
| url | https://arxiv.org/abs/2405.12602 |