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arXiv 1802.04909astro-ph.HEhep-ph
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由aLIGO并合事件的红移测量黑洞质量谱

Measuring the Black Hole Mass Spectrum from Redshifts of aLIGO Binary Merger Events

Yang Bai, Vernon Barger, Sida Lu

摘要:

高级LIGO(aLIGO)和VIRGO合作观测到的二元黑洞合并事件可以揭示黑洞的起源。许多基于黑洞恒星起源的研究已经显示出恒星黑洞的最大质量,这可以从观测到的黑洞质量分布中测量或限制。本文指出,观测到的并合事件的红移分布可以为研究黑洞质量分布提供补充信息,因为可探测性将事件红移与黑洞质量联系起来。根据观测到的5个事件,利用Kolmogorov-Smirnov检验,我们发现在90%置信水平下,当较重的黑洞的负幂律指数为2.3时,恒星黑洞质量的最大值被限制在$76\,M_\odot$以下.随着aLIGO灵敏度的提高,可以获得几十个合并事件,我们估计最大质量将被限制在$10\,M_\odot$精度。

英文摘要:

The binary black hole merger events observed by the Advanced LIGO (aLIGO) and VIRGO collaboration can shed light on the origins of black holes. Many studies based on black hole stellar origins have shown a maximum mass for stellar black holes, which can be measured or constrained from the observed black hole mass distribution. In this paper, we point out that the redshift distribution of the observed merger events can provide complementary information for studying the black hole mass distribution, because the detectability correlates the event redshift to the black hole masses. Based on the five observed events and using the Kolmogorov-Smirnov test, we have found that the maximum of the stellar black hole masses are constrained to be below $76\,M_\odot$ at 90\% confidence level, for a negative power-law index of 2.3 for the heavier black hole. With the improved sensitivity of aLIGO, a few dozen merger events may be obtained, for which we estimate that the maximum mass will be constrained to $10\,M_\odot$ accuracy.

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