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arXiv 2112.04535hep-thgr-qc
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陀螺引力记忆

Gyroscopic Gravitational Memory

Ali Seraj, Blagoje Oblak

AI总结:

本研究分析渐近平直时空中远场陀螺的引力波进动效应,发现领头阶取向记忆含线性自旋记忆与二次螺旋度两项,二者分别对应类空无限远引力辐射相空间的超旋转荷与局部电磁对偶生成元。

摘要:

我们研究了渐近平直时空中,远离孤立引力源处的陀螺的运动。从与遥远恒星绑定的局部参考系来看,当引力波穿过陀螺所在位置时,陀螺会发生进动,产生携带引力波波形信息的净“取向记忆”。在与源距离倒数的领头阶近似下,该记忆包含两项:第一项是度规扰动的线性项,与自旋记忆效应一致;第二项是二次项,用于测量波脉冲的净螺旋度。二者都与类空无限远处引力辐射相空间的对称性密切相关:自旋记忆探测超旋转荷,而螺旋度是天球上局部电磁对偶的正则生成元。

英文摘要:

We study the motion of a gyroscope located far away from an isolated gravitational source in an asymptotically flat spacetime. As seen from a local frame tied to distant stars, the gyroscope precesses when gravitational waves cross its path, resulting in a net "orientation memory" that carries information on the wave profile. At leading order in the inverse distance to the source, the memory consists of two terms: the first is linear in the metric perturbation and coincides with the spin memory effect, while the second is quadratic and measures the net helicity of the wave burst. Both are closely related to symmetries of the gravitational radiative phase space at null infinity: spin memory probes superrotation charges, while helicity is the canonical generator of local electric-magnetic duality on the celestial sphere.

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