标题： 关于从规范不变性和测量中得出的非线性黑洞回音 显示英文标题

标题： On Nonlinear Black Hole Ringdowns from Gauge-Invariance and Measurements

摘要： 最近的研究表明，在准正则模生成时出现的非线性效应对于模拟黑洞合并的回波阶段是必要的。 在本说明中，我们描述了当定义规范不变张量模以及在高于线性阶次的干涉仪可观测量计算中，非线性效应是如何出现的。 显示英文摘要

摘要： It has been recently shown that nonlinear effects emerging at the time of the generation of the quasi-normal modes are necessary to model ringdowns from black hole mergers. In this note, we describe how nonlinerarities also arise when defining gauge-invariant tensor modes and in the calculation of the observable measured in the interferometers beyond linear order.