Perturbations of the Kerr spacetime in horizon penetrating coordinates

Details Perturbations of the Kerr spacetime in horizon penetrating coordinates Perturbations of the Kerr spacetime in horizon penetrating coordinates

2000-10-10

arxiv.org/abs/gr-qc/0010034v2

Class.Quant.Grav. 18 (2001) 1543-1554

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, RevTex, 2 figures, final version to appear in CQG

Scientific paper

10.1088/0264-9381/18/8/310

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 three 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''.

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