论文标题

推断二元合并事件的重力波记忆

Inferring the gravitational wave memory for binary coalescence events

论文作者

Khera, Neev, Krishnan, Badri, Ashtekar, Abhay, De Lorenzo, Tommaso

论文摘要

完全,非线性的一般相对论预测了重力波的记忆效应。对于紧凑的二元合并,总重力记忆是可观察到的可观察的,概念上与最终黑洞的质量和旋转相同。因此,给定任何Ligo事件的候选波形,可以计算总重力记忆的后验概率分布函数,并使用它们比较和对比波形。在本文中,我们使用现象学和有效的一体波形介绍了在第一个重力波瞬态目录(GWTC-1)中报道的二进制黑洞合并事件的这些后验分布。总体而言,尽管我们发现$ \ ell = 2,m = 1 $的内存模式,但两组后分布相互吻合。这标志着可能被推断的可观察到的后验分布所捕获的系统错误的可能源。因此,总记忆的各种角模式的后验分布可以用作诊断工具,以进一步改善波形。诸如此类的分析对于将来的事件特别有价值,因为基于地面探测器的灵敏度会改善,而对于可以直接衡量总重力记忆的LISA。

Full, non-linear general relativity predicts a memory effect for gravitational waves. For compact binary coalescence, the total gravitational memory serves as an inferred observable, conceptually on the same footing as the mass and the spin of the final black hole. Given candidate waveforms for any LIGO event, then, one can calculate the posterior probability distribution functions for the total gravitational memory, and use them to compare and contrast the waveforms. In this paper we present these posterior distributions for the binary black hole merger events reported in the first Gravitational Wave Transient Catalog (GWTC-1), using the Phenomenological and Effective-One-Body waveforms. On the whole, the two sets of posterior distributions agree with each other quite well though we find larger discrepancies for the $\ell=2, m=1$ mode of the memory. This signals a possible source of systematic errors that was not captured by the posterior distributions of other inferred observables. Thus, the posterior distributions of various angular modes of total memory can serve as diagnostic tools to further improve the waveforms. Analyses such as this would be valuable especially for future events as the sensitivity of ground based detectors improves, and for LISA which could measure the total gravitational memory directly.

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