Gravitational Perturbations of Rotating Black Holes in Lorenz Gauge

被引：16

作者：

Dolan, Sam R. ^{[1
]}

Kavanagh, Chris ^{[2
]}

Wardell, Barry ^{[3
]}

机构：

[1] Univ Sheffield, Consortium Fundamental Phys, Sch Math & Stat, Hicks Bldg,Hounsfield Rd, Sheffield S3 7RH, S Yorkshire, England

[2] Albert Einstein Inst, Max Planck Inst Gravitat Phys, Muhlenberg 1, D-14476 Potsdam, Germany

[3] Univ Coll Dublin, Sch Math & Stat, Dublin 4, Ireland

来源：

PHYSICAL REVIEW LETTERS | 2022年 / 128卷 / 15期

基金：

英国科学技术设施理事会;

关键词：

ELECTROMAGNETIC-FIELDS; EQUATIONS; POTENTIALS; SEPARATION; HERTZ;

D O I：

10.1103/PhysRevLett.128.151101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：6

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