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 Laser Interferometer Gravitational Wave Observatory signal is estimated to be $\mathrm{\Phi }\sim {10}^{-35}\mathrm{arc}\sec$ near Earth, but the effect may be substantially larger for supermassive black hole mergers.

中文翻译：

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引力波引起的岁差

我们表明，引力波导致自由下落的陀螺仪相对于固定的遥远恒星进动，从而扩展了静止的 Lense-Thirring 效应。进动率作为到源的反距离的平方衰减，并且与在零无穷处的双渐近对称的合适的诺特电流成正比。随着时间的推移对速率进行积分会产生净旋转——一种“陀螺记忆”——其角度再现了已知的自旋记忆效应，但由于引力电磁对偶的产生，它还包含额外的贡献。第一个激光干涉仪引力波天文台信号的角度数量级估计为$\mathrm{\Phi }～{10}^{-35}弧秒$在地球附近，但对于超大质量黑洞合并的影响可能要大得多。