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  Perturbations of the Kerr spacetime in horizon penetrating coordinates

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.

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Campanelli, Manuela1, Author
Laguna, Pablo, Author
Pillin, Jorge, Author
Ryan, Michael P., Author
Khanna, Gaurav, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 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 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'.

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Language(s): eng - English
 Dates: 2001-04-21
 Publication Status: Issued
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 Identifiers: eDoc: 3318
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 18 (8) Sequence Number: - Start / End Page: 1543 - 1554 Identifier: -