发表机构
Toyota Technological Institute（名古屋工业大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过Plebański-Demiański参数化构造了具有完全非对齐电磁场的广义黑洞族，扩展了八参数类，并建立了与Kerr-Newman-Bertotti-Robinson族的对应关系。
AI 中文摘要
我们发展了Ovcharenko-Podolský一般解的Plebański-Demiański适配参数化，并在四维Einstein-Maxwell理论中构造了新的广义黑洞族。这些Petrov D型时空具有非零、完全非对齐的电磁场。先前参数化中施加的一个限制在平移坐标下并非场方程所必需。移除该限制保留了一个独立的电荷参数$q$，它可以是实数或纯虚数。对于$q^2\geq0$，度规和电磁场都允许平滑对齐极限到具有$\Lambda=0$和$e^2+g^2=q^2$的带电Plebański-Demiański解。我们以Griffiths-Podolský形式施加角条件，允许具有球面拓扑的Killing视界截面。所得的八参数类扩展了Ovcharenko和Podolský [arXiv:2508.04850]的七参数类。剩余的正则化条件通常是四次方程，定义了四个代数分支。我们给出了非扭转和$l=0$扭转族的显式度规和电磁场，并分析了它们的黑洞视界和加速度视界、极值性、锥度以及进一步极限。我们确定了后一族中无有效NUT的分支及其退化情形。利用真正的Griffiths-Podolský形式，我们建立了非加速无有效NUT子类与Kerr-Newman-Bertotti-Robinson族之间的显式对应关系，并在我们的参数中表达了其电磁通量电荷。$q^2<0$扇区包括Ovcharenko和Podolský [arXiv:2608.21672]最近识别的真正无电荷Kerr-Bertotti-Robinson解。
英文摘要
We develop a Plebański--Demiański-adapted parametrization of the general Ovcharenko--Podolský solution and construct new families of generalized black holes in four-dimensional Einstein--Maxwell theory. These Petrov type~D spacetimes possess non-null, fully non-aligned electromagnetic fields. A restriction imposed in the previous parametrization is not required by the field equations in shifted coordinates. Removing it retains an independent charge parameter $q$, which may be real or purely imaginary. For $q^2\geq0$, both the metric and electromagnetic field admit a smooth aligned limit to the charged Plebański--Demiański solution with $Λ=0$ and $e^2+g^2=q^2$. We impose angular conditions in the Griffiths--Podolský form allowing Killing horizon cross sections with spherical topology. The resulting eight-parameter class extends the seven-parameter class of Ovcharenko and Podolský [arXiv:2508.04850]. The remaining normalization condition is generically quartic, defining four algebraic branches. We give explicit metrics and electromagnetic fields for the non-twisting and $l=0$ twisting families and analyze their black hole and acceleration horizons, extremality, conicity, and further limits. We determine the effective-NUT-free branches of the latter family and their degenerate cases. Using the genuine Griffiths--Podolský form, we establish an explicit correspondence between the non-accelerating effective-NUT-free subclass and the Kerr--Newman--Bertotti--Robinson family and express its electromagnetic flux charges in our parameters. The $q^2<0$ sector includes the genuine uncharged Kerr--Bertotti--Robinson solution recently identified by Ovcharenko and Podolský [arXiv:2608.21672].
Comments63 pages, 1 figure; references and clarifications added, null tetrads included, and typos corrected
