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arXiv 1806.01577gr-qchep-th
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从最内层稳定圆轨道进入Schwarzschild黑洞过程中产生的多极引力波形和振铃

Multipolar gravitational waveforms and ringdowns generated during the plunge from the innermost stable circular orbit into a Schwarzschild black hole

Antoine Folacci, Mohamed Ould El Hadj

摘要:

本文研究了一个大质量点粒子从最内层稳定圆轨道的稍下方坠入史瓦西黑洞时所发出的引力辐射。我们考虑偶宇称和奇宇称扰动,并使用坎宁安,价格和Moncrief的两个规范不变的主函数来描述它们。对于任意观测方向,特别是在俯冲粒子的轨道平面之外,我们得到正则化多极波形,即,通过对大量模式求和而构造的波形,以及从准正规模式谱构造的它们的非正规对应物。他们是在极好的协议,我们的研究结果使我们能够特别强调的波形失真的影响(一)谐波超出占主导地位的$(\ell=2,m=\pm 2)$模式和(ii)的观察方向,因此,有必要考虑到他们在分析的最后阶段的二元黑洞合并。

英文摘要:

We study the gravitational radiation emitted by a massive point particle plunging from slightly below the innermost stable circular orbit into a Schwarzschild black hole. We consider both even- and odd-parity perturbations and describe them using the two gauge-invariant master functions of Cunningham, Price, and Moncrief. We obtain, for arbitrary directions of observation and, in particular, outside the orbital plane of the plunging particle, the regularized multipolar waveforms, i.e., the waveforms constructed by summing over of a large number of modes, and their unregularized counterparts constructed from the quasinormal-mode spectrum. They are in excellent agreement and our results permit us to especially emphasize the impact on the distortion of the waveforms of (i) the harmonics beyond the dominant $(\ell=2,m=\pm 2)$ modes and (ii) the direction of observation, and therefore the necessity to take them into account in the analysis of the last phase of binary black hole coalescence.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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