标题： 引力的三次有效场论中的自旋波形 显示英文标题

标题： Spinning waveforms in cubic effective field theories of gravity

摘要： 我们推导了在任意质量和自旋矢量的两个Kerr黑洞散射过程中，存在所有独立的爱因斯坦-希尔伯特引力三次变形时，生成的最低阶时域波形的解析全自旋展开式。 这些是两个偶宇称相互作用$I_1$和$G_3$，以及奇宇称相互作用$\tilde{I}_1$和$\tilde{G}_3$。 我们的结果是通过三种独立的方法得到的：一种特别高效的直接积分和张量约化方法；积分合并微分方程法；最后是一种留数计算方法。 对于$G_3$和$\tilde{G}_3$变形的情况，我们可以用适当调整了影响参数的标量波形来表示自旋波形，这类似于Newman-Janis位移。 对于$I_1$和$\tilde{I}_1$，类似的偏移现象也会发生，但伴随着额外的贡献，这些贡献无法通过简单地使标量$I_1$和$\tilde{I}_1$波形发生偏移来捕捉。 我们还展示了没有一阶修正的引力记忆。 我们的解析结果非常紧凑，并且我们比较了用于获得这些结果的三种方法的有效性。 我们还简要评论了由于三次变形导致的可观测量修正的幅度。 显示英文摘要

摘要： We derive analytic all-order-in-spin expressions for the leading-order time-domain waveforms generated in the scattering of two Kerr black holes with arbitrary masses and spin vectors in the presence of all independent cubic deformations of Einstein-Hilbert gravity. These are the two parity-even interactions $I_1$ and $G_3$, and the parity-odd ones $\tilde{I}_1$ and $\tilde{G}_3$. Our results are obtained using three independent methods: a particularly efficient direct integration and tensor reduction approach; integration by parts combined with the method of differential equations; and finally a residue computation. For the case of the $G_3$ and $\tilde{G}_3$ deformations we can express the spinning waveform in terms of the scalar waveform with appropriately shifted impact parameters, which are reminiscent of Newman-Janis shifts. For $I_1$ and $\tilde{I}_1$ similar shifts occur, but are accompanied by additional contributions that cannot be captured by simply shifting the scalar $I_1$ and $\tilde{I}_1$ waveforms. We also show the absence of leading-order corrections to gravitational memory. Our analytic results are notably compact, and we compare the effectiveness of the three methods used to obtain them. We also briefly comment on the magnitude of the corrections to observables due to cubic deformations.