General relativistic solutions with finite self-energy for a point charge under Bopp-Podolsky electromagnetism
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908482428469248 |
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| author | Amorim, Erik |
| author_facet | Amorim, Erik |
| contents | We establish the existence of a family of static, spherically symmetric spacetimes that are solutions of the Einstein Field Equations of General Relativity coupled to the electric field of a static point charge obeying the equations of electromagnetism of Maxwell-Bopp-Landé-Thomas-Podolsky. The point charge is modeled as a naked singularity with non-positive bare mass. The singularity at the location of the charge is milder than that of the Reissner-Weyl-Nordström solution to the conventional Einstein-Maxwell equations, and, contrary to what happens for the latter, the electric-field energy of these solutions is finite. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_06270 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | General relativistic solutions with finite self-energy for a point charge under Bopp-Podolsky electromagnetism Amorim, Erik General Relativity and Quantum Cosmology Mathematical Physics We establish the existence of a family of static, spherically symmetric spacetimes that are solutions of the Einstein Field Equations of General Relativity coupled to the electric field of a static point charge obeying the equations of electromagnetism of Maxwell-Bopp-Landé-Thomas-Podolsky. The point charge is modeled as a naked singularity with non-positive bare mass. The singularity at the location of the charge is milder than that of the Reissner-Weyl-Nordström solution to the conventional Einstein-Maxwell equations, and, contrary to what happens for the latter, the electric-field energy of these solutions is finite. |
| title | General relativistic solutions with finite self-energy for a point charge under Bopp-Podolsky electromagnetism |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2508.06270 |