论文标题
引力波造成的进动
The Precession Caused by Gravitational Waves
论文作者
论文摘要
我们表明，重力波会导致相对于固定远处的恒星自由下降的陀螺仪，从而扩大了固定的弹性效应。进动率是与源的反相反距离的平方衰减，并且与合适的noether电流成正比，用于零无穷大的双重渐近对称性。随着时间的流逝，整合速率会产生净旋转 - “陀螺仪记忆” - 其角度重现已知的自旋记忆效应，但由于引力电磁性二元性的发生，还包含额外的贡献。第一个Ligo信号的角度的数量级估计为$φ\ sim 10^{ - 35} $ arcseconds，但对于超质量黑洞合并而言，效果可能大大更大。
We show that gravitational waves cause freely falling gyroscopes to precess relative to fixed distant stars, extending the stationary Lense-Thirring effect. The precession rate decays as the square of the inverse distance to the source, and is proportional to a suitable Noether current for dual asymptotic symmetries at null infinity. Integrating the rate over time yields a net rotation -- a `gyroscopic memory' -- whose angle reproduces the known spin memory effect but also contains an extra contribution due to the generator of gravitational electric-magnetic duality. The angle's order of magnitude for the first LIGO signal is estimated to be $Φ\sim 10^{-35}$ arcseconds near Earth, but the effect may be substantially larger for supermassive black hole mergers.
