Reconstruction of black hole metric perturbations from Weyl curvature: II. The Regge–Wheeler gauge
Reconstruction of black hole metric perturbations from Weyl curvature: II. The Regge–Wheeler gauge
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从韦尔曲率重建黑洞度量扰动：II。
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
C. Lousto
中科院分区：
文献类型：
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作者：
C. Lousto
旋转黑洞的微扰理论用外尔纯量ψ4和ψ0来描述，它们都满足Teukolsky的复主波方程，自旋s = 2，分别代表出射和入射辐射。我们明确地构造出这些Weyl标量在Regge-Wheeler规范在非旋转极限的度量扰动。我们用纽曼-彭罗斯语言提出了克尔背景下雷吉-惠勒规范的推广，并讨论了建立旋转黑洞扰动时空的方法。我们还提供了双向的波形之间的关系，定义在度量和曲率的方法在时域中，也被称为（逆）Wavrasekhar变换，广义包括物质。
Perturbation theory of rotating black holes is described in terms of the Weyl scalars ψ4 and ψ0, each satisfying Teukolsky's complex master wave equation with spin s = ∓2, and respectively representing outgoing and ingoing radiation. We explicitly construct the metric perturbations out of these Weyl scalars in the Regge–Wheeler gauge in the non-rotating limit. We propose a generalization of the Regge–Wheeler gauge for a Kerr background in Newman–Penrose language and discuss the approach for building up the perturbed spacetime of a rotating black hole. We also provide two-way relationships between waveforms defined in the metric and curvature approaches in the time domain, also known as (inverse) Chandrasekhar transformations, generalized to include matter.