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arXiv 2608.29466gr-qcastro-ph.COastro-ph.HE

黑洞铃振中有多少源自光环内?

How much of the black hole ringdown is sourced within the light ring?

Mark Ho-Yeuk Cheung

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中文总结 AI 辅助

该研究通过求解Teukolsky方程发现,黑洞铃振中源自光环内的波振幅不超过总振幅的10%,GW250114对应的该分量信噪比ρ≤1,准正态模与直接波更适合探测光环。

中文摘要 AI 辅助

答案不多。已有研究提出,对黑洞铃振引力波施加有理滤波可揭示源自事件视界附近的直接波分量。通过求解点粒子坠入克尔黑洞的Teukolsky方程,结果表明,无论是否对波进行滤波,顺行光环内产生的波的最大振幅均不超过整个轨迹产生的波振幅的10%。这与将准正态模解释为绕光环运行的波、直接波为这些模的功率随时间重新分布的观点一致。因此,准正态模和直接波都更适合作为光环而非近视界区域的探测工具。对于GW250114,经滤波波峰值后测量,光环内产生的波分量的信噪比ρ不超过1。

英文摘要

Not much. It has been proposed that applying a rational filter to a black hole ringdown gravitational waveform reveals a direct wave component sourced near the event horizon. By solving the Teukolsky equation for a point particle plunging into a Kerr black hole, I show that the maximum amplitude of the waves sourced within the prograde light ring is $\lesssim 10\%$ that of those sourced by the full trajectory no matter if the waves are filtered or not. This agrees with the interpretation of quasinormal modes as waves orbiting the light ring and the direct wave as the power of these modes redistributed in time. Therefore, both quasinormal modes and direct waves are more a probe of the light ring than the near-horizon region. For GW250114, I estimate that the component of the waves sourced within the light ring have a signal-to-noise ratio $ρ\lesssim 1$ measured after the peak of the filtered waves.

发表机构

  • School of Natural Sciences, Institute for Advanced Study(高等研究院自然科学学院)

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