黑洞微扰工具包：低频与后牛顿展开
Black Hole Perturbation Toolkit: Low frequency and post-Newtonian expansions
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中文总结 AI 辅助
本文介绍黑洞微扰工具包中Teukolsky和SpinWeightedSpheroidalHarmonics软件包的新增低频与后牛顿展开功能，支持高精度计算，为小质量比双星波形建模提供工具。
中文摘要 AI 辅助
黑洞微扰工具包（BHPT）中的Teukolsky和SpinWeightedSpheroidalHarmonics软件包是计算Teukolsky方程数值解及相关量的主要公共库之一。本文是伴随论文，介绍其新的和改进的弱场解析功能，重点放在后牛顿展开上。Teukolsky软件包现在允许用户独立提取多个有用的量，例如所谓的MST系数、重整化角动量、径向函数的振幅或相移，作为低频/PM展开。它还提供了齐次径向函数的PN展开，或者对于Kerr时空中的圆轨道，提供非齐次振幅，以及无穷远处和视界处的能量和角动量通量。所有量都可以在普通笔记本电脑上以最先进的精度计算。它还提供了一套用于后牛顿自力的计算工具，并更新了SpinWeightedSpheroidalHarmonics软件包的解析功能。计算可以针对特定的和一般的自旋权重$s$以及谐波模式数$\ell$和$m$进行。该软件包为小质量比黑洞双星波形建模前沿的高阶后牛顿自力计算铺平了道路，同时也为黑洞微扰理论提供了广泛有用的低频展开。本文描述的所有功能在BHPT版本Teukolsky v.1.2和SpinWeightedSpheroidalHarmonics v.1.1中可用。
英文摘要
The Teukolsky and SpinWeightedSpheroidalHarmonics packages of the black hole perturbation toolkit (BHPT) are one of the main public libraries to compute numerical solutions to the Teukolsky equation and related quantities. This work is a companion paper presenting their new and improved weak-field analytic functionality focusing on post-Newtonian expansions. The Teukolsky package now allows users to independently extract multiple useful quantities, such as the so called MST coefficients, renormalized angular momentum, amplitudes of the radial functions or the phase shift as a low frequency/PM expansion. It also provides PN expansions of the homogeneous radial functions or - for circular orbits in Kerr - inhomogeneous amplitudes, as well as energy and angular momentum fluxes at infinity and the horizon. All quantities can be computed to state of the art precision on regular laptops. It also provides a suite of tools for post-Newtonian self force computations and updates the analytic functionality of the SpinWeightedSpheroidalHarmonics package. Computations are possible both for specific and generic spin weight $s$ and harmonic mode numbers $\ell$ and $m$. This package paves the way for intensive high-order post-Newtonian self-force calculations at the forefront of waveform modelling of small mass ratio black hole binaries, as well as giving widely useful low-frequency expansions for black hole perturbation theory. All functions described in this paper are available in BHPT versions Teukolsky v.1.2 and SpinWeightedSpheroidalHarmonics v.1.1.
发表机构
- School of Mathematics and Statistics, University College Dublin（都柏林大学学院数学与统计学院）
机构由 AI 辅助整理，请以论文原文为准。
