洛伦兹规范中克尔时空的源度量微扰

IF 3.7 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS
Barry Wardell, Chris Kavanagh and Sam R Dolan
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引用次数: 0

摘要

我们导出了求解由任意应力-能量张量引起的克尔时空度规扰动的洛伦兹规范方程的一种形式。度量微扰是作用于六个标量的微分算子的和,其中两个为自旋权±2,两个为自旋权±1,两个为自旋权0。我们导出了由这些标量满足的源Teukolsky方程,其中源以作用于应力-能量张量的微分算子的形式给出。该方法可用于获得线性和高阶非线性度量摄动,并且它完全确定了时间积分范围内的度量摄动,仅省略了必须单独处理的静态贡献。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Sourced metric perturbations of Kerr spacetime in Lorenz gauge
We derive a formalism for solving the Lorenz gauge equations for metric perturbations of Kerr spacetime sourced by an arbitrary stress-energy tensor. The metric perturbation is obtained as a sum of differential operators acting on a set of six scalars, with two of spin-weight ±2, two of spin-weight ±1, and two of spin-weight 0. We derive the sourced Teukolsky equations satisfied by these scalars, with the sources given in terms of differential operators acting on the stress-energy tensor. The method can be used to obtain both linear and higher-order nonlinear metric perturbations, and it fully determines the metric perturbation up to a time integral, omitting only static contributions which must be handled separately.
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来源期刊
Classical and Quantum Gravity
Classical and Quantum Gravity 物理-天文与天体物理
CiteScore
7.00
自引率
8.60%
发文量
301
审稿时长
2-4 weeks
期刊介绍: Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.
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