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Journal Article

Perturbations of the Kerr spacetime in horizon penetrating coordinates


Campanelli,  Manuela
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Campanelli, M., Laguna, P., Pillin, J., Ryan, M. P., & Khanna, G. (2001). Perturbations of the Kerr spacetime in horizon penetrating coordinates. Classical and Quantum Gravity, 18(8), 1543-1554.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-55A8-0
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'.