Perturbations of the Kerr spacetime in horizon-penetrating coordinates

被引：23

作者：

Campanelli, M

Khanna, G

Laguna, P

Pullin, J

Ryan, MP

机构：

[1] Max Planck Inst Gravitat Phys, Albert Einstein Inst, D-14476 Golm, Germany

[2] Penn State Univ, Dept Phys, Ctr Gravitat Phys & Geometry, Davey Lab 104, University Pk, PA 16802 USA

[3] Long Isl Univ, Southampton Coll, Div Nat Sci, Southampton, NY 11968 USA

[4] Penn State Univ, Dept Astron & Astrophys, Davey Lab 525, University Pk, PA 16802 USA

[5] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Mexico City 04510, DF, Mexico

来源：

CLASSICAL AND QUANTUM GRAVITY | 2001年 / 18卷 / 08期

关键词：

D O I：

10.1088/0264-9381/18/8/310

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We derive the Teukolsky equation for perturbations of a Kerr spacetime when the spacetime metric is written in either ingoing or outgoing Kerr-Schild form. We also write explicit formulae for setting up the initial data for the Teukolsky equation in the time domain in terms of a 3-metric and an extrinsic curvature, The motivation of this work is to have in place a formalism to study the evolution in the 'close limit' of two recently proposed solutions to the initial-value problem in general relativity that are based on Kerr-Schild slicings. A perturbative formalism in horizon-penetrating coordinates is also very desirable in connection with numerical relativity simulations using black hole 'excision'.

引用

页码：1543 / 1554

页数：12

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