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arXiv 2007.07750gr-qc
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在天体物理学引力波背景中搜索修正引力:应用于地基干涉仪

Searching for modified gravity in the astrophysical gravitational wave background: Application to ground-based interferometers

Rafael C. Nunes

摘要:

我们研究如何传播的天体物理引力波背景(AGWB)修改宇宙体积时,考虑超越广义相对论的Horndeski引力类型的理论。我们首先推导出一个振幅校正的AGWB诱导的存在下,可能运行的普朗克质量。然后,我们应用光谱噪声密度从一些地基干涉仪,即先进的LIGO(aLIGO),爱因斯坦望远镜(ET)和宇宙探索(CE),评估的信噪比(SNR)作为普朗克质量运行的振幅的函数为两种不同的情况。我们发现,对于观察时间周期$\gtrsim$ 5年和$\gtrsim$ 1年,我们可以有一个显着的信号AGWB在频带[1-100] Hz的ET和CE的敏感性,分别。利用Fisher信息,我们找到了一些预测界限,并在1 $σ$置信水平下,分别推导出由ET和CE得到的普朗克质量移动幅度的$\lesssim$ 27%和$\lesssim$ 18%的修正.很明显,未来AGWB的探测可以打开一个新的窗口,以高精度探测重力的性质。

英文摘要:

We investigate how the propagation of an astrophysical gravitational wave background (AGWB) is modified over cosmological volumes when considering theories beyond general relativity of the type Horndeski gravity. We first deduce an amplitude correction on the AGWB induced for the presence of a possible running in the Planck mass. Then, we apply the spectral noise density from some ground-based interferometers, namely, the Advanced LIGO (aLIGO), Einstein Telescope (ET) and Cosmic Explore (CE), to evaluate the signal-to-noise ratio (SNR) as a function of the amplitude of the running of the Planck mass for two different scenarios. We find that for observation time period $\gtrsim$ 5 yrs and $\gtrsim$ 1 yr, we can have a significant signal of the AGWB in the band [1-100] Hz from the ET and CE sensitivity, respectively. Using Fisher information, we find some forecast bounds, and we deduce $\lesssim$ 27\% and $\lesssim$ 18\% correction at 1$σ$ confidence level on the amplitude of the running of the Planck mass from ET and CE, respectively. It is clear that a detection of a AGWB in future can open a new window to probe the nature of gravity with good accuracy.

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