论文标题
与Lisa观察到的恒星质量黑洞二进制的一般相对性测试
Tests of general relativity with stellar-mass black hole binaries observed by LISA
论文作者
论文摘要
我们考虑使用激光干涉仪空间天线(LISA)观察出恒星质量的黑洞二进制。基于Fisher信息矩阵分析的初步结果表明,来自这些来源的引力波可能对与一般相对论理论以及低频二元灵感期间的强相对性理论以及与强的等价原理的偏差非常敏感。我们执行了马尔可夫链的完整蒙特卡洛贝叶斯分析,以量化这些信号对两种现象学修改的敏感性,即推定的引力偶极偶极子发射和对重力的非零质量,对检测器的响应进行了适当的考虑。此外,我们考虑了一个方案,可以在基于地球的探测器中观察到这些来源,这些探测器应以优先级高于$ 1 \ {\ rm MS} $来测量合并时间。对聚结时间的这种限制进一步改善了我们可以对这些现象学偏离一般相对论设定的界限。我们表明,偶极子辐射和重力质量的测试应分别在电流边界比七个半级的级级分别提高。最后,我们讨论在哪些条件下可能声称检测对一般相对性的修改。
We consider the observation of stellar-mass black holes binaries with the Laser Interferometer Space Antenna (LISA). Preliminary results based on Fisher information matrix analyses have suggested that gravitational waves from those sources could be very sensitive to possible deviations from the theory of general relativity and from the strong equivalence principle during the low-frequency binary inspiral. We perform a full Markov Chain Monte Carlo Bayesian analysis to quantify the sensitivity of these signals to two phenomenological modifications of general relativity, namely a putative gravitational dipole emission and a non-zero mass for the graviton, properly accounting for the detector's response. Moreover, we consider a scenario where those sources could be observed also with Earth-based detectors, which should measure the coalescence time with precision better than $1 \ {\rm ms}$. This constraint on the coalescence time further improves the bounds that we can set on those phenomenological deviations from general relativity. We show that tests of dipole radiation and the graviton's mass should improve respectively by seven and half an order(s) of magnitude over current bounds. Finally, we discuss under which conditions one may claim the detection of a modification to general relativity.