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
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
收藏
页码:1543 / 1554
页数:12
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