The Einstein telescope and other third-generation interferometric detectors of gravitational waves are projected to be operational post 2030. The cosmological signatures of gravitational waves would undoubtedly shed light on any departure from the current gravitational framework. We here confront a specific modified gravity model, the No Slip Gravity model, with forecast observations of gravitational waves. We compare the predicted constraints on the dark energy equation of state parameters $w_0^{}-w_a^{}$, between the modified gravity model and that of Einstein gravity. We show that the No Slip Gravity model mimics closely the constraints from the standard gravitational theory, and that the cosmological constraints are very similar. The use of spectroscopic redshifts, especially in the low–redshift regime, lead to significant improvements in the inferred parameter constraints. We test how well such a prospective gravitational wave dataset would function at testing such models, and find that there are significant degeneracies between the modified gravity model parameters, and the cosmological parameters that determine the distance, due to the gravitational wave dimming effect of the modified theory.

中文翻译：

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爱因斯坦望远镜的宇宙学：无滑移重力模型和红移规范

爱因斯坦望远镜和其他第三代引力波干涉探测器预计将在 2030 年后投入使用。引力波的宇宙学特征无疑将揭示任何偏离当前引力框架的情况。我们在这里遇到了一个特定的修正重力模型，即无滑动重力模型，以及对引力波的预测观测。我们比较了修改后的引力模型和爱因斯坦引力模型对状态参数$w_0^{}-w_a^{}$的暗能量方程的预测约束。我们表明，无滑移引力模型与标准引力理论的约束非常相似，并且宇宙学约束非常相似。光谱红移的使用，特别是在低红移区域，导致推断参数约束的显着改进。我们测试了这样一个预期的引力波数据集在测试这些模型时的功能，并发现修改后的引力模型参数和确定距离的宇宙学参数之间存在显着的退化，这是由于修改后的引力波调光效应理论。