利用阿波罗地震台阵将宇宙的引力波能量密度限制在0.1 Hz到1 Hz范围内
Constraining the gravitational wave energy density of the Universe in the Range 0.1 Hz to 1 Hz using the Apollo Seismic Array
摘要：
在本文中，我们描述了阿波罗时代的月球地震数据的分析，放置在一个各向同性的随机重力波背景上的一年内的频率范围为0.1\，Hz-1\，Hz的上限。我们发现，由于月球的环境噪声背景比地球安静得多，基于地球的分析有了显着的改善。我们发现一个上限的$Ω_{\rm GW}<1.2\times 10^{5}$，这是三个数量级小于一个类似的分析全球网络的宽带地震仪在地球上，在这个波段的最佳限制。我们还讨论了潜在的地月相关搜索的好处，并计算这种分析所需的时间相关的重叠减少功能。对于这个搜索，我们发现一个上限的数量级大于月球-月球搜索。
英文摘要：
In this paper, we describe an analysis of Apollo era lunar seismic data that places an upper limit on an isotropic stochastic gravitational-wave background integrated over a year in the frequency range 0.1\,Hz -- 1\,Hz. We find that because the Moon's ambient noise background is much quieter than that of the Earth, significant improvements over an Earth based analysis were made. We find an upper limit of $Ω_{\rm GW}<1.2\times 10^{5}$, which is three orders of magnitude smaller than a similar analysis of a global network of broadband seismometers on Earth and the best limits in this band to date. We also discuss the benefits of a potential Earth-Moon correlation search and compute the time-dependent overlap reduction function required for such an analysis. For this search, we find an upper limit an order of magnitude larger than the Moon-Moon search.
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