Local conformal symmetry introduces the conformal curvature (Weyl tensor) that gets split into its (gravito-) electric and magnetic (tensor) parts. Newtonian tidal forces are expected from the gravitoelectric field, whereas general-relativistic frame-dragging effects emerge from the gravitomagnetic field. The symmetric, traceless gravitoelectric and gravitomagnetic tensor fields can be visualized by their eigenvectors and eigenvalues. In this paper, we depict the gravitoelectric and gravitomagnetic fields around a slowly rotating black hole. This suggests that the phenomenon of ultra-fast outflows observed at the centers of active galaxies may give evidence for the gravitomagnetic fields of spinning supermassive black holes. We also question whether the current issues in our contemporary observations might be resolved by the inclusion of gravitomagnetism on large scales in a perturbed FLRW model.

中文翻译：

---

磁型引力场

局部共形对称引入了共形曲率（外尔张量），该曲率被分成其（重力）电和磁（张量）部分。牛顿潮汐力预计来自引力电场，而广义相对论框架拖曳效应来自引力磁场。对称的、无迹的引力电和引力磁张量场可以通过它们的特征向量和特征值来可视化。在本文中，我们描绘了一个缓慢旋转的黑洞周围的引力电场和引力磁场。这表明在活动星系中心观察到的超快速流出现象可能为旋转的超大质量黑洞的引力磁场提供证据。