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arXiv 2402.05752gr-qc
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利用极端质量比旋近约束 EdGB 理论

Constraining the EdGB Theory with Extreme Mass-Ratio Inspirals

Jing Tan, Jian-dong Zhang, Hui-Min Fan, Jianwei Mei

AI总结:

本文利用数值拼凑方法构建无自旋中心黑洞的极端质量比旋近波形,研究天琴等空间引力波探测器对 EdGB 理论的约束能力,发现参数 $\sqrtα$ 可被限制到约 0.1 km 量级。

摘要:

爱因斯坦-伸缩子-高斯-博内(EdGB)理论是一种修正引力理论,其中引入了一个标量场与高阶曲率项耦合。该理论已经通过多种观测受到约束,包括 LIGO、Virgo 和 KAGRA(LVK)合作组的引力波(GW)观测。在本工作中,我们研究空间引力波探测器利用极端质量比旋近(EMRIs)信号约束 EdGB 理论的能力。我们采用“数值拼凑(NK)”方法构建 EdGB 理论中 EMRI 的波形,重点关注中心黑洞无自旋的情形。随后,我们研究未来的空间引力波探测器——例如天琴(TianQin)——如何通过探测 EMRIs 对 EdGB 理论施加约束。通过利用失配度和费舍尔信息矩阵(FIM)进行分析,我们发现 EdGB 参数 $\sqrtα$ 预计可被约束到 $\sim\mathcal{O}(0.1)$ km 的量级。

英文摘要:

The Einstein-dilaton-Gauss-Bonnet (EdGB) theory is a modified theory of gravity which include a scalar field to couple with the higher order curvature terms. It has already been constrained with various observations include the gravitational wave (GW) with LIGO, Virgo and KAGRA (LVK) Collaboration. In this work, we study the capability for space-borne GW detectors to constrain the EdGB theory using the signal of Extreme Mass-Ratio Inspiral (EMRIs). We use the "numerical kludge (NK)" method to construct the waveform of EMRI in the EdGB theory, focusing on the case when the central black hole is spinless. We then study how a future space-borne gravitational wave detector, TianQin, for example, can place constraints on the EdGB theory through the detection of EMRIs. With the analysis using mismatch and Fisher Information Matrix (FIM), we find that the EdGB parameter $\sqrtα$ is expected to be constrained to the level of $\sim\mathcal{O}(0.1)$ km.

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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