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arXiv 0712.0618astro-ph
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利用黑洞二元绝对距离和统计红移信息推导哈勃常数的精度

Precision of Hubble constant derived using black hole binary absolute distances and statistical redshift information

Chelsea L. MacLeod, Craig J. Hogan

摘要:

从黑洞双星螺旋事件中测得的引力波形直接决定了绝对光度距离。为了将这些数据用于宇宙学,有必要独立地获得事件的红移,这对于那些没有电磁对应物的人来说可能很困难。在这里,它表明,当然在原则上,并可能在实践中,星系聚类允许提取的红移信息从一个样本统计估计平均宇宙学参数的目的,没有识别的主机星系的个别事件。我们从斯隆数字巡天第6次数据发布中提取模拟星系样本,这些样本类似于与恒星质量黑洞在红移z ~ 0.1至0.5处落入大质量黑洞的螺旋事件相关的样本。描述了一个简单的统计过程来估计哈勃常数H_0的似然函数:LISA误差体积中的每个星系对源红移的对数似然的贡献是线性的,每个源的对数似然对H_0的贡献是线性的。这个过程被证明是提供一个准确的和无偏的估计H_0。据估计,如果这类事件的发生率足够高,在20到z = 0.5的量级上,则在H_0中优于1%的精度是可能的。

英文摘要:

Measured gravitational waveforms from black hole binary inspiral events directly determine absolute luminosity distances. To use these data for cosmology, it is necessary to independently obtain redshifts for the events, which may be difficult for those without electromagnetic counterparts. Here it is demonstrated that certainly in principle, and possibly in practice, clustering of galaxies allows extraction of the redshift information from a sample statistically for the purpose of estimating mean cosmological parameters, without identification of host galaxies for individual events. We extract mock galaxy samples from the 6th Data Release of the Sloan Digital Sky Survey resembling those that would be associated with inspiral events of stellar mass black holes falling into massive black holes at redshift z ~ 0.1 to 0.5. A simple statistical procedure is described to estimate a likelihood function for the Hubble constant H_0: each galaxy in a LISA error volume contributes linearly to the log likelihood for the source redshift, and the log likelihood for each source contributes linearly to that of H_0. This procedure is shown to provide an accurate and unbiased estimator of H_0. It is estimated that a precision better than one percent in H_0 may be possible if the rate of such events is sufficiently high, on the order of 20 to z = 0.5.

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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