论文标题
静态潮汐扰动引起的共振跳跃：一项两次交易
Resonant jumps induced by stationary tidal perturbation: a two-for-one deal
论文作者
论文摘要
极端质量比率灵感（EMRIS）是诸如Lisa，Taiji和Tianqin之类的空间干涉仪的有前途的目标来源。根据天体物理环境，例如近距离透视或吸积盘，Emri轨道的演化可能会偏离真空中一般相对性的预测。特别是，我们专注于共振跳跃，即，固定的扰动对背景Kerr几何形状引起的保守量的变化。使用Hamiltonian公式，我们在Carter常数中的跳跃与角动量的轴向成分之间提供了封闭的关系。还表明，获得的关系与以前工作中潮共振计算的拟合公式一致。
Extreme-mass-ratio inspirals (EMRIs) are promising target sources for space-based interferometers such as LISA, Taiji, and Tianqin. Depending on the astrophysical environment, such as close perturbers or an accretion disk, EMRI orbital evolution may deviate from the predictions of general relativity in vacuum. In particular, we focus on the resonance jumps, i.e., the changes of the conserved quantities induced by a stationary perturbation to the background Kerr geometry. Using Hamiltonian formulation, we provide a closed relation between the jump in Carter constant and that in the axial component of angular momentum. It is also shown that the obtained relation is consistent with the fitting formulae computed for the tidal resonance in previous works.
