Constraining gravity with eccentric gravitational waves: projected upper bounds and model selection
Constraining gravity with eccentric gravitational waves: projected upper bounds and model selection
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DOI：
10.1088/1361-6382/ab8bb6
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发表时间：
2020-02
影响因子：
3.5
通讯作者：
B. Moore;N. Yunes
中科院分区：
文献类型：
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作者：
B. Moore;N. Yunes
引力波使我们能够在高度动态的状态下检验广义相对论。虽然目前的观测结果与准圆形双星发射的电波一致，但偏心双星也可能在不久的将来产生可由地面和空间探测器探测到的信号。在这里，我们将探讨如何测试广义相对论的规模与轨道偏心率的来源在inspiral的紧凑的对象高达e0.8。我们使用一个新的，第三后牛顿准确，偏心波形模型的紧凑的对象，这是足够快的贝叶斯参数估计和模型选择的inspiral，高度准确的建模中度偏心inspirals。我们推导并结合了偏心修正，这个模型中引起的Brans-Dicke理论和爱因斯坦-牛顿-高斯-邦纳引力在领先的后牛顿秩序，这表明一个简单的偏心扩展参数化后爱因斯坦形式主义。我们通过基于置信区间和贝叶斯因子的方法，使用马尔科夫链蒙特卡罗和跨维、可逆跳跃的马尔科夫链蒙特卡罗方法，探索了可以对这些修改理论的耦合参数设置的上限。方法。我们发现投影约束与信号源与e 0.4，是一个数量级强于准圆双星在先进的LIGO。特别是，在设计灵敏度下探测到的偏心引力波应该能够在90%的置信度下约束Brans-Dicke耦合参数ω 3300和Gauss-Bonnet耦合参数α1/2 0.5 km。虽然对ω的投影约束比其他当前约束弱，但对α1/2的投影约束比当前引力波约束强10倍。
Gravitational waves allow us to test general relativity in the highly dynamical regime. While current observations have been consistent with waves emitted by quasi-circular binaries, eccentric binaries may also produce detectable signals in the near future with ground- and space-based detectors. We here explore how tests of general relativity scale with the orbital eccentricity of the source during the inspiral of compact objects up to e ∼ 0.8. We use a new, third post-Newtonian-accurate, eccentric waveform model for the inspiral of compact objects, which is fast enough for Bayesian parameter estimation and model selection, and highly accurate for modeling moderately eccentric inspirals. We derive and incorporate the eccentric corrections to this model induced in Brans–Dicke theory and in Einstein–dilaton–Gauss–Bonnet gravity at leading post-Newtonian order, which suggest a straightforward eccentric extension of the parameterized post-Einsteinian formalism. We explore the upper limits that could be set on the coupling parameters of these modified theories through both a confidence-interval- and Bayes-factor-based approach, using a Markov-Chain Monte Carlo and a trans-dimensional, reversible-jump, Markov-Chain Monte Carlo method. We find projected constraints with signals from sources with e ∼ 0.4 that are one order of magnitude stronger than that those obtained with quasi-circular binaries in advanced LIGO. In particular, eccentric gravitational waves detected at design sensitivity should be able to constrain the Brans–Dicke coupling parameter ω ≳ 3300 and the Gauss–Bonnet coupling parameter α1/2 ≲ 0.5 km at 90% confidence. Although the projected constraint on ω is weaker than other current constraints, the projected constraint on α1/2 is 10 times stronger than the current gravitational wave bound.