DECIGO/BBO作为约束引力替代理论的探测器
DECIGO/BBO as a probe to constrain alternative theories of gravity
摘要：
我们计算如何强烈地可以约束的替代理论的引力与deci-Hz引力波干涉仪，如DECIGO和BBO。在这里，我们讨论Brans-Dicke理论和大质量引力子理论作为典型的例子。本文研究了Brans-Dicke（BD）理论中由中子星（NS）和中等质量黑洞（IMBH）组成的致密双星的内旋，以及大质量引力子理论中由超大质量黑洞（SMBH）和黑洞（SMBH）组成的致密双星的内旋.利用包含自旋效应的约束2 PN波形，并考虑自旋进动，对$10^4$双星进行了Monte Carlo模拟，以估计双星参数包括Brans Dicke参数$ω_{\mathrm{BD}}$和引力子康普顿长度$λ_g$的确定精度.假设SNR= $\sqrt{200}$的$(1.4, 10)M_{\odot}$ NS/BH二进制，则对$ω_{\mathrm{BD}}$的约束被获得为$ω_{\mathrm{BD}}>2.32\times 10^6$，其比来自LISA观测的估计约束强300倍。此外，我们发现，由于预期的大合并率的NS/BH双星的$O(10^4)$年$^{-1}$，统计分析产生$ω_{\mathrm{BD}}>3.77\times10^8$，这是4个数量级强于目前最强的约束从太阳系实验。对于大质量引力子理论，假设一个$(10^6, 10^5)M_{\odot}$ BH/BH双星的质量为3Gpc，我们可以把它的平均质量限制为$λ_g>3.35\times10^{20}$ cm。这比从太阳系实验中获得的强三个数量级。从这些结果中可以理解，DECIGO/BBO也是约束其他引力理论的一个非常强大的工具。
英文摘要：
We calculate how strongly one can constrain the alternative theories of gravity with deci-Hz gravitational wave interferometers such as DECIGO and BBO. Here we discuss Brans-Dicke theory and massive graviton theories as typical examples. We consider the inspiral of compact binaries composed of a neutron star (NS) and an intermediate mass black hole (IMBH) for Brans-Dicke (BD) theory and those composed of a super massive black hole (SMBH) and a black hole (SMBH) for massive graviton theories. Using the restricted 2PN waveforms including spin effects and taking the spin precession into account, we perform the Monte Carlo simulations of $10^4$ binaries to estimate the determination accuracy of binary parameters including the Brans-Dicke parameter $ω_{\mathrm{BD}}$ and the graviton Compton length $λ_g$. Assuming a $(1.4, 10)M_{\odot}$ NS/BH binary of SNR=$\sqrt{200}$, the constraint on $ω_{\mathrm{BD}}$ is obtained as $ω_{\mathrm{BD}}>2.32\times 10^6$, which is 300 times stronger than the estimated constraint from LISA observation. Furthermore, we find that, due to the expected large merger rate of NS/BH binaries of $O(10^4)$ yr$^{-1}$, a statistical analysis yields $ω_{\mathrm{BD}}>3.77\times10^8$, which is 4 orders of magnitude stronger than the current strongest bound obtained from the solar system experiment. For massive graviton theories, assuming a $(10^6, 10^5)M_{\odot}$ BH/BH binary at 3Gpc, one can put a constraint $λ_g>3.35\times10^{20}$cm, on average. This is three orders of magnitude stronger than the one obtained from the solar system experiment. From these results, it is understood that DECIGO/BBO is a very powerful tool for constraining alternative theories of gravity, too.
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