论文标题
引力波及其类似物的基本方程
A Fundamental Equation for Gravitational Wave and Its Analogues in Type D Spacetimes
论文作者
论文摘要
众所周知，Teukolsky重力扰动方程为研究二进制黑洞合并的环down相提供了强大的工具，但仅适用于Kerr案例中的最终配置。在这里，我们介绍了一个新概念：旋转连接。采用它和新的转换函数，我们发现重力扰动可以写为单个方程式。该方程的每个系数具有明确的物理意义。更重要的是，该方程实际上是在任何黑洞上都应用的，因为它不取决于特定的指标和坐标系。我们还发现，任何非零旋转$ s <2 $的无质量场遵守引力波样方程，这表明该场可以用作引力波的模型。
It is well known that Teukolsky equation of gravitational perturbations provides a powerful tool for the investigation of the ringdown phase of a binary black hole merger, but it is applicable only for final configurations in the Kerr cases. Here we introduce a new concept: the spin-coefficient connection. Employing it and a new transformation function, we find that the gravitational perturbations can be written as a single equation. Each coefficients of this equation has explicit physical significance. More importantly, the equation is universally applied to virtually any black hole since it does not depend on specific metrics and coordinate system. We also find that any massless field of nonzero spin $s<2$ obeys the gravitational wave-like equation, which shows that the fields can be used as the analogue models of gravitational wave.
