论文标题

用天气测试一般相对论:使用黑洞二进制的灵感信号的前景

Testing general relativity with TianQin: the prospect of using the inspiral signals of black hole binaries

论文作者

Shi, Changfu, Ji, Mujie, Zhang, Jian-dong, Mei, Jianwei

论文摘要

在本文中,我们进行了一项系统的研究,以对可以用天气检测到的黑洞二进制文件的灵感信号来测试一般相对论的前景。该研究基于参数化的后源(PPE)波形,因此可以同时涵盖许多修饰的重力理论。我们认为总质量为Black Hole Binaries,范围从$ 10 \ rm m_ \ odot \ sim10^7 m_ \ odot $和odot $和ppe校正在纽约后订单(PN)订单范围从$ -4 $ pn到$ 2 $ pn不等。与当前的基于地面的检测器相比,天气可以通过数量级来改善PPE相参数$β$的约束。例如,$ -4 $ PN和$ 2 $ PN订单的改进约为$ 13 $和3美元的数量级(与GW150914的结果相比)。与未来的基于地面的探测器(例如ET)相比,天气预计将优越低于$ -1 $ PN订单,并且对于高于$ -0.5 $ PN订单的更正,Tianqin仍然在低质量范围的大质量末端$ [10 \ rm m_ \ rm m_ \ odot,\ odot,\ odot,\ odot,\ odot,10^3 \ rm m_ \ odot] \,$ odot]。与未来的空间探测器丽莎相比,随着PN顺序的增加,天气在较低的质量端可能具有竞争力。例如,在$ -4 $ PN订单下,Lisa对于比$ 30 \ rm m_ \ odot \,$更大的来源始终优越,而在$ 2 $ PN订单下,Tianqin的竞争力对于来源的竞争力比$ 10^4^4 \ rm m_ \ rm m_ \ odot $。我们还研究了涉及天气,丽莎和ET的探测器网络的科学潜力,并讨论了对特定理论的约束,例如动态的Chern-Simons理论和Einstein-Dilaton-Dilaton-Dilaton Gauss-Bonnet理论。

In this paper, we carry out a systematic study of the prospect of testing general relativity with the inspiral signals of black hole binaries that could be detected with TianQin. The study is based on the parameterized post-Einsteinian (ppE) waveform, so that many modified gravity theories can be covered simultaneously. We consider black hole binaries with total masses ranging from $10\rm M_\odot\sim10^7 M_\odot$ and ppE corrections at post-Newtonian (PN) orders ranging from $-4$PN to $2$PN. Compared to the current ground-based detectors, TianQin can improve the constraints on the ppE phase parameter $β$ by orders of magnitude. For example, the improvement at the $-4$PN and $2$PN orders can be about $13$ and $3$ orders of magnitude (compared to the results from GW150914), respectively. Compared to future ground-based detectors, such as ET, TianQin is expected to be superior below the $-1$PN order, and for corrections above the $-0.5$PN order, TianQin is still competitive near the large mass end of the low mass range $[10 \rm M_\odot, \,10^3 \rm M_\odot]\,$. Compared to the future space-based detector LISA, TianQin can be competitive in the lower mass end as the PN order is increased. For example, at the $-4$PN order, LISA is always superior for sources more massive than about $30\rm M_\odot\,$, while at the $2$PN order, TianQin becomes competitive for sources less massive than about $10^4\rm M_\odot$. We also study the scientific potentials of detector networks involving TianQin, LISA and ET, and discuss the constraints on specific theories such as the dynamic Chern-Simons theory and the Einstein-dilaton Gauss-Bonnet theory.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源