论文标题

与天体物理随机重力波背景的一般相对性测试的参数估计

Parameter Estimation for Tests of General Relativity with the Astrophysical Stochastic Gravitational Wave Background

论文作者

Saffer, Alexander, Yagi, Kent

论文摘要

最近观察到来自二进制黑洞和中子星的重力波,使我们能够探测重力的强烈而动力学的野外状态。另一方面,来自许多单独的,未解决的来源的集体信号导致所谓的随机背景。我们在这里考虑用恒星质量二进制黑洞合并的背景进行探测重力。我们采用简单的幂律频谱,并通过包括一般相对论和一般相对论变量,通过当前和未来的基于地面检测器的网络进行参数估计研究。对于第二代探测器网络,我们发现,如果以足够负面的牛顿后秩序输入,则可以将有意义的界限放在重力波幅度中的偏差参数上。但是,从随机背景的这种未来界限比单个来源(例如GW150914和GW151226)的现有界限弱。我们还发现,由于频谱的不构层次化引起的系统错误要比统计误差小得多,这证明了我们对幂律模型的使用是合理的。关于第三代探测器的网络,我们发现偏差参数与统计误差的界限在第二代情况下有所改善,尽管系统错误现在主导了误差预算,因此人们需要使用更真实的频谱模型。我们得出的结论是,与天体物理随机背景相比,单个来源在探测一般相对性方面似乎更强大。

Recent observations of gravitational waves from binary black holes and neutron stars allow us to probe the strong and dynamical field regime of gravity. On the other hand, a collective signal from many individual, unresolved sources results in what is known as a stochastic background. We here consider probing gravity with such a background from stellar-mass binary black hole mergers. We adopt a simple power-law spectrum and carry out a parameter estimation study with a network of current and future ground-based detectors by including both general relativistic and beyond general relativistic variables. For a network of second-generation detectors, we find that one can place meaningful bounds on the deviation parameter in the gravitational-wave amplitude if it enters at a sufficiently negative post-Newtonian order. However, such future bounds from a stochastic background are weaker than existing bounds from individual sources, such as GW150914 and GW151226. We also find that systematic errors due to mismodeling of the spectrum is much smaller than statistical errors, which justifies our use of the power-law model. Regarding a network of third-generation detectors, we find that the bounds on the deviation parameter from statistical errors improve upon the second-generation case, though systematic errors now dominate the error budget and thus one needs to use a more realistic spectrum model. We conclude that individual sources seem to be more powerful in probing general relativity than the astrophysical stochastic background.

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