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arXiv 1807.02584astro-ph.CO
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引力透镜对远距双星黑洞合并产生的引力波分布的影响

Effect of gravitational lensing on the distribution of gravitational waves from distant binary black hole mergers

Masamune Oguri

摘要:

对双黑洞合并的红移和啁啾质量分布的详细观测有望为它们的起源提供线索。本文建立了一个同时考虑强、弱引力透镜的引力透镜放大率概率分布函数的混合模型,并利用它研究了引力透镜放大率对正在进行和将来的引力波观测中发现的遥远双星黑洞合并产生的引力波分布的影响。我们发现,引力透镜放大的效果是显着的,在高端观察到的啁啾质量和红移分布。虽然观测到的啁啾质量分布中的高质量尾是由高度放大的引力透镜事件产生的,但我们发现,高度缩小的强透镜事件图像在观测到的红移分布中产生了高红移($z_{\rm obs}> 15$)尾,这在第三代引力波天文台中很容易观察到。这样一个缩小的,明显的高红移事件预计将伴随着一个放大的图像,通常是观察到的缩小图像前$10-100$天。对于产生明显非常高的啁啾质量的高度放大的事件,我们期望具有相似放大率的事件对,其时间延迟通常小于一天。这项工作表明了引力透镜放大(缩小)对解释明显非常高质量或红移的引力波事件的至关重要性。

英文摘要:

The detailed observation of the distribution of redshifts and chirp masses of binary black hole mergers is expected to provide a clue to their origin. In this paper, we develop a hybrid model of the probability distribution function of gravitational lensing magnification taking account of both strong and weak gravitational lensing, and use it to study the effect of gravitational lensing magnification on the distribution of gravitational waves from distant binary black hole mergers detected in ongoing and future gravitational wave observations. We find that the effect of gravitational lensing magnification is significant at high ends of observed chirp mass and redshift distributions. While a high mass tail in the observed chirp mass distribution is produced by highly magnified gravitational lensing events, we find that highly demagnified images of strong lensing events produce a high redshift ($z_{\rm obs}> 15$) tail in the observed redshift distribution, which can easily be observed in the third-generation gravitational wave observatories. Such a demagnified, apparently high redshift event is expected to be accompanied by a magnified image that is observed typically $10-100$ days before the demagnified image. For highly magnified events that produce apparently very high chirp masses, we expect pairs of events with similar magnifications with time delays typically less than a day. This work suggests the critical importance of gravitational lensing (de-)magnification on the interpretation of apparently very high mass or redshift gravitational wave events.

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