用Tendex线和Vortex线对渐近引力辐射孤立零点的分类
Classifying the Isolated Zeros of Asymptotic Gravitational Radiation by Tendex and Vortex Lines
摘要：
最近提出了一种新的方法来可视化时空的曲率。这种方法找到外尔张量的“电”和“磁”分量的本征向量，并与电磁场线类似，使用本征向量的积分曲线来说明时空曲率。在这里，我们使用这种方法，以及著名的拓扑性质的领域在封闭的表面上，以显示一个任意的，辐射，渐近平坦的时空必须有点接近零无穷大的引力辐射消失。在引力辐射的零点处，积分曲线场表现出类似于向量场临界点的奇异特征。因此，我们可以应用无定向直线奇点的拓扑分类作为描述辐射场的一种方法。我们提供的例子，这些点的结构，使用线性化的重力和讨论的应用程序的极端踢黑洞二进制合并。
英文摘要：
A new method to visualize the curvature of spacetime was recently proposed. This method finds the eigenvectors of the "electric" and "magnetic" components of the Weyl tensor and, in analogy to the field lines of electromagnetism, uses the eigenvectors' integral curves to illustrate the spacetime curvature. Here we use this approach, along with well-known topological properties of fields on closed surfaces, to show that an arbitrary, radiating, asymptotically flat spacetime must have points near null infinity where the gravitational radiation vanishes. At the zeros of the gravitational radiation, the field of integral curves develops singular features analogous to the critical points of a vector field. We can, therefore, apply the topological classification of singular points of unoriented lines as a method to describe the radiation field. We provide examples of the structure of these points using linearized gravity and discuss an application to the extreme-kick black-hole-binary merger.
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