论文标题
爬上内存楼梯:赤道变焦旋转轨道
Climbing up the memory staircase: Equatorial zoom-whirl orbits
论文作者
论文摘要
对于极端质量比系统的快速旋转Kerr黑洞周围的Zoom-Whirl Orbits的非线性或无重力记忆效应具有楼梯结构。后者的特征是在轨道的旋转阶段中周期性的快速增加,而当轨道靠近apoapsis时,后者的记忆阶段接近恒定水平。我们研究不同球形谐波模式对这种效果的贡献,并讨论其相对重要性。由于遗传记忆效应在动态时间尺度上的会长通道数量中线性增加,而振荡性的父型引力波是由在更长的辐射反应时间尺度上进化的轨道来提出的,这是前者相对于后者的幅度随时间增加的幅度。我们还考虑了极端质量比灵感的孤儿记忆和记忆效应。然后,我们使用激光干涉仪空间天线(LISA)讨论检测的前景。
The nonlinear, or null gravitational memory effect for zoom-whirl orbits around fast spinning Kerr black holes for extreme mass ratio systems has a staircase structure. The latter is characterized by a periodic fast increase in the memory during the whirl phases of the orbit, and near constant levels when the orbit is near apoapsis. We study the contribution of different spherical harmonic modes to this effect, and discuss the relative importance thereof. Because the hereditary memory effect increases in magnitude linearly in the number of periapsis passages on a dynamical time scale, while the oscillatory parent gravitational waves are sourced by an orbit that evolves on a much longer radiation reaction time scale, the magnitude of the former relative to the latter increases with time. We also consider orphan memory and the memory effect for extreme mass ratio inspirals. We then discuss the prospect of detection with the Laser Interferometer Space Antenna (LISA).