类时基灵向量

本书暂定概念：尚未进入正式概念库。下面是本书给出的定义原文。

定义 · 6.1 施瓦西解

这一点很重要。我们只假设了度规张量是球对称的，并没有假设它不依赖于时间。然而爱因斯坦方程却把这一点强加给了我们，最终得到的度规张量 (6.2) 有两组基灵向量。第一组来自我们最初假设的 SO(3) 等距变换，第二组则是计算中浮现出来的类时基灵向量(timelike Killing vector) $K={\partial }_t$。

英文原文

This is important. We assumed that the metric was spherically symmetric, but made no such assumption about the lack of time dependence. Yet the Einstein equations have forced this upon us, and the final metric (6.2) has two sets of Killing vectors. The first arises from the SO(3) isometry that we originally assumed, but the second is the timelike Killing vector $K={\partial }_t$ that has emerged from the calculation.

出处：6.1 施瓦西解 · node a-7493aaf960b11457634481fc · 源节点 SHA-256 a86a0faa07f245f7…