We discuss Petrov type D Einstein-Maxwell (EM) fields in which both double null eigenvectors of the Weyl tensor are non-aligned with the eigenvectors of a non-null electromagnetic field and are assumed to be geodesic, shear-free, diverging and non-twisting. We obtain the general solution of the EM equations under the extra condition that the complex null vectors of the Weyl canonical tetrad are hypersurface orthogonal. The corresponding space-times are all conformally related to a Killing-Yano space and are described by a 5-parameter family of metrics, admitting two commuting Killing vectors and having the C-metric as a possible vacuum limit.

中文翻译：

---

彼得罗夫 D 型非对齐爱因斯坦-麦克斯韦罗宾逊-特劳特曼场

我们讨论了 Petrov D 型爱因斯坦-麦克斯韦 (EM) 场，其中 Weyl 张量的两个双零特征向量与非零电磁场的特征向量不对齐，并且被假定为测地线、无剪切、发散和非-扭曲。在Weyl正则四分体的复零向量是超曲面正交的额外条件下，我们得到了EM方程的通解。相应的时空都与 Killing-Yano 空间共形相关，并由 5 参数系列度量描述，允许两个交换 Killing 向量，并将 C 度量作为可能的真空极限。