论文标题
极端质量比率的两次演变：Schwarzschild SpaceTime中轨道轨道的波形生成方案
Two-timescale evolution of extreme-mass-ratio inspirals: waveform generation scheme for quasicircular orbits in Schwarzschild spacetime
论文作者
论文摘要
极端质量比率的灵感，其中恒星质量紧凑的物体螺旋形成银河系中的超质量黑洞，预计将是丽莎的关键来源。用足够精确的Lisa科学对这些系统进行建模，需要在引力自力学理论中排名第二（或{\ em后的绝热}）顺序。在这里，我们提出了一个实用的两次计算框架，用于实现这一目标并产生绝热后波形。该框架包括一组适用于快速轨道时间尺度上的频域字段方程，以及一组普通的微分方程，这些方程式决定了缓慢的，灵感的时间尺度上的演变。我们的分析仅限于Schwarzschild Black Hole周围的准轨道的特殊情况，但其一般结构却将其延伸到Kerr Spacetime中通用（倾斜和怪异）轨道的现实情况。在我们受限制的上下文中，我们还开发了一种在所有情况下都将有用的工具：使用倍boloid骨切片的频域场方程的表述，从而显着改善了边界附近源的行为。我们特别注意中央黑洞的缓慢演变，研究了其对两次尺度演变的影响和早期的自洽演变方案。
Extreme-mass-ratio inspirals, in which a stellar-mass compact object spirals into a supermassive black hole in a galactic core, are expected to be key sources for LISA. Modelling these systems with sufficient accuracy for LISA science requires going to second (or {\em post-adiabatic}) order in gravitational self-force theory. Here we present a practical two-timescale framework for achieving this and generating post-adiabatic waveforms. The framework comprises a set of frequency-domain field equations that apply on the fast, orbital timescale, together with a set of ordinary differential equations that determine the evolution on the slow, inspiral timescale. Our analysis is restricted to the special case of quasicircular orbits around a Schwarzschild black hole, but its general structure carries over to the realistic case of generic (inclined and eccentric) orbits in Kerr spacetime. In our restricted context, we also develop a tool that will be useful in all cases: a formulation of the frequency-domain field equations using hyperboloidal slicing, which significantly improves the behavior of the sources near the boundaries. We give special attention to the slow evolution of the central black hole, examining its impact on both the two-timescale evolution and the earlier self-consistent evolution scheme.
