A novel class of rotating black holes with non-aligned electromagnetic field

Fuente: arXiv
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Autori principali: Ovcharenko, Hryhorii, Podolsky, Jiri
Natura: Preprint
Pubblicazione: 2025
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author Ovcharenko, Hryhorii
Podolsky, Jiri
author_facet Ovcharenko, Hryhorii
Podolsky, Jiri
contents We present a new class of expanding and twisting solutions to the Einstein-Maxwell equations of algebraic type D, where the null eigendirections of the Faraday tensor are not aligned with PNDs of the Weyl tensor. After deriving this novel solution, we explore its various metric forms and parameterizations. In suitable coordinates, the solution depends on six physical parameters, namely mass $m$, Kerr and NUT twist parameters $a$ and $l$, complex charge $c$, acceleration $α$, and parameter $β$ that governs the interplay between electric and magnetic charges in the aligned part of the Faraday tensor. This parameterization, as the Griffiths-Podolský form of the Plebański-Demiański solution, facilitates explicit special subcases, such as Kerr-Newman black holes, and a deeper physical interpretation. Additionally, in the static limit, our solution reduces to previously known cases.
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id arxiv_https___arxiv_org_abs_2511_04840
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A novel class of rotating black holes with non-aligned electromagnetic field
Ovcharenko, Hryhorii
Podolsky, Jiri
General Relativity and Quantum Cosmology
We present a new class of expanding and twisting solutions to the Einstein-Maxwell equations of algebraic type D, where the null eigendirections of the Faraday tensor are not aligned with PNDs of the Weyl tensor. After deriving this novel solution, we explore its various metric forms and parameterizations. In suitable coordinates, the solution depends on six physical parameters, namely mass $m$, Kerr and NUT twist parameters $a$ and $l$, complex charge $c$, acceleration $α$, and parameter $β$ that governs the interplay between electric and magnetic charges in the aligned part of the Faraday tensor. This parameterization, as the Griffiths-Podolský form of the Plebański-Demiański solution, facilitates explicit special subcases, such as Kerr-Newman black holes, and a deeper physical interpretation. Additionally, in the static limit, our solution reduces to previously known cases.
title A novel class of rotating black holes with non-aligned electromagnetic field
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2511.04840