Perturbations of the Kerr spacetime in horizon penetrating coordinates

Abstract

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''.

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

References in corpus (5)

• Generic Isolated Horizons and their Applications
• Grazing Collisions of Black Holes via the Excision of Singularities
• Gravitational waves from black hole collisions via an eclectic approach
• Inspiralling black holes: the close limit
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