论文标题

黑洞地平线附近的位移记忆效应

Displacement memory effect near the horizon of black holes

论文作者

Bhattacharjee, Srijit, Kumar, Shailesh, Bhattacharyya, Arpan

论文摘要

我们研究位移记忆效应及其与黑洞地平线附近的扩展BMS对称性的联系。我们表明,在引力波的通过后,地球偏差矢量有一个永久性的转移,与附近的两个临时大地测量学相关。我们还将这种记忆效应与渐近黑洞空位的地平线附近的渐近对称性联系起来。检测器的相对位置的移位被证明是由地平线附近的BMS发电机的组合诱导的。地平线附近的位移记忆效应与在远区域中获得的相似性具有相似性。

We study the displacement memory effect and its connection with the extended-BMS symmetries near the horizon of black holes. We show there is a permanent shift in the geodesic deviation vector relating two nearby timelike geodesics placed close to the horizon of black holes, upon the passage of gravitational waves. We also relate this memory effect with the asymptotic symmetries near the horizon of asymptotic black hole spacetimes. The shift of the relative position of the detectors is shown to be induced by a combination of BMS generators near the horizon. The displacement memory effect near the horizon possesses similarities to the same obtained in the far region.

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