Gravitational Perturbations of Rotating Black Holes in Lorenz Gauge.

Gravitational Perturbations of Rotating Black Holes in Lorenz Gauge.
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洛伦兹规范中旋转黑洞的引力扰动。

DOI:
10.1103/physrevlett.128.151101
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发表时间:
2021
影响因子:
8.6
通讯作者:
B. Wardell
B. Wardell
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
S. Dolan;C. Kavanagh;B. Wardell

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Kerr时空的微扰通常用Teukolsky形式来研究,其中微扰的Weyl张量的一对规范不变分量用满足常微分方程的可分离模来表示。然而,对于某些应用,需要在洛伦兹规范中构造完全的度规微扰,其中线性化的爱因斯坦场方程采取明显的双曲形式。在这里,我们得到了一组洛伦兹规范解的线性化真空场方程的Kerr-Newman-Unti-Tamburino时空的自旋-2,自旋-1,自旋-0 Teukolsky方程的齐次解。我们还推导出洛伦兹规范完成件表示质量和角动量扰动的克尔时空。
Perturbations of Kerr spacetime are typically studied with the Teukolsky formalism, in which a pair of gauge invariant components of the perturbed Weyl tensor are expressed in terms of separable modes that satisfy ordinary differential equations. However, for certain applications it is desirable to construct the full metric perturbation in the Lorenz gauge, in which the linearized Einstein field equations take a manifestly hyperbolic form. Here we obtain a set of Lorenz-gauge solutions to the linearized vacuum field equations on Kerr-Newman-Unti-Tamburino spacetimes in terms of homogeneous solutions to the spin-2, spin-1, and spin-0 Teukolsky equations. We also derive Lorenz-gauge completion pieces representing mass and angular momentum perturbations of Kerr spacetime.
Kerr-NUT-(A)dS 时空中麦克斯韦方程的对称算子
DOI: 10.1088/1361-6382/ab586d
发表时间: 2019
影响因子: 3.5
作者:
宝利剛;棚橋典大;安井幸則
通讯作者: 安井幸則