Does the Black Hole Merger Rate Evolve with Redshift?
Does the Black Hole Merger Rate Evolve with Redshift?
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DOI：
10.3847/2041-8213/aad800
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发表时间：
2018-05
期刊：
影响因子：
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通讯作者：
M. Fishbach;D. Holz;W. Farr
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文献类型：
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作者：
M. Fishbach;D. Holz;W. Farr
我们探讨引力波探测器的能力，以提取红移分布的双黑洞（BBH）合并。红移0 < z <$1的合并速率的演化与形成和演化过程直接相关，提供了关于祖先形成速率以及形成和合并之间的时间延迟分布的见解。由于BBH被探测到的极限距离取决于双星的质量，因此被探测到的双星的红移分布取决于它们的质量分布。因此，我们同时考虑质量和红移分布，并拟合合并率密度dN/dm 1 dm 2 dz。我们对质量分布的限制与以前发表的结果一致，包括在1040 M的上限质量截止的证据。此外，我们表明，目前的一组六个BBH检测是一致的合并率密度是均匀的共动量。虽然我们对红移分布的限制还不足以区分BBH形成通道，我们表明，它将有可能区分不同的天体物理动机的合并率演化模型与100-300激光干涉仪引力波天文台/处女座探测（预计在2-5年内）。具体来说，我们将能够推断形成速率的峰值是在比星星形成速率更高还是更低的红移处，或者是形成和合并之间的典型时间延迟。与此同时，随着1000次探测，推断出的红移分布将对更奇异的场景（如修正的引力）施加限制。
We explore the ability of gravitational-wave detectors to extract the redshift distribution of binary black hole (BBH) mergers. The evolution of the merger rate across redshifts 0 < z ≲ 1 is directly tied to the formation and evolutionary processes, providing insight regarding the progenitor formation rate together with the distribution of time delays between formation and merger. Because the limiting distance to which BBHs are detected depends on the masses of the binary, the redshift distribution of detected binaries depends on their underlying mass distribution. We therefore consider the mass and redshift distributions simultaneously, and fit the merger rate density, dN/dm1 dm2 dz. Our constraints on the mass distribution agree with previously published results, including evidence for an upper mass cutoff at ∼40 M⊙. Additionally, we show that the current set of six BBH detections are consistent with a merger rate density that is uniform in comoving volume. Although our constraints on the redshift distribution are not yet tight enough to distinguish between BBH formation channels, we show that it will be possible to distinguish between different astrophysically motivated models of the merger rate evolution with ∼100–300 Laser Interferometer Gravitational-Wave Observatory/Virgo detections (to be expected within 2–5 years). Specifically, we will be able to infer whether the formation rate peaks at higher or lower redshifts than the star formation rate, or the typical time delay between formation and merger. Meanwhile, with ∼100 detections, the inferred redshift distribution will place constraints on more exotic scenarios such as modified gravity.