克尔黑洞格林函数分解产生的引力波：I. 赤道最内稳定圆轨道 plunge
Gravitational Waves from Green's Function Decomposition for a Kerr black hole: I. Equatorial ISCO Plunge
AI总结：
本文提出时域克尔黑洞格林函数分解方法，经数值模拟验证吻合度高，将其应用于测试粒子坠入克尔黑洞的模型，得到相关动力学激发的波与模式，为旋转黑洞铃宕研究提供一阶近似。
AI中文摘要：
受史瓦西极限下已研究的频域拆分启发，我们提出了时域克尔（Kerr）黑洞格林函数的分解方法。我们证明了准正则模贡献、直接部分和晚期尾的识别仍然可行，其中拆分时间由黑洞自旋以及发射体和接收器的位置决定。我们已通过时域Teukolsky数值模拟对该格林函数进行了验证，发现二者吻合度极高。我们还将该时域分解格林函数应用于测试粒子坠入克尔黑洞的模型问题，通过将格林函数与粒子源项卷积，得到了动力学激发的直接波和准正则模，这可视为旋转黑洞 ringdown（铃宕）的质量比一阶近似。
英文摘要：
We present a decomposition of the Kerr Green's function in the time domain, motivated by the frequency-domain split previously studied in the Schwarzschild limit. We show that the identification of a quasinormal-mode contribution, a direct part, and a late-time tail is still available, where the split times are determined by the black hole spin and positions of the emitter and receiver. We have checked this Green's function with time-domain Teukolsky numerical simulations and find excellent agreement. We also apply this decomposed Green's function in the time domain to a model problem with a test particle plunging into a Kerr black hole. The dynamically excited direct wave and quasinormal modes are obtained by convoluting the Green's function with the particle's source term, which may be viewed as the first order in mass ratio of a spinning black hole ringdown.
