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          Institute: MPI für Gravitationsphysik     Collection: Astrophysical Relativity     Display Documents



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ID: 3318.0, MPI für Gravitationsphysik / Astrophysical Relativity
Perturbations of the Kerr spacetime in horizon penetrating coordinates
Authors:Campanelli, Manuela; Laguna, Pablo; Pillin, Jorge; Ryan, Michael P.; Khanna, Gaurav
Language:English
Date of Publication (YYYY-MM-DD):2001-04-21
Title of Journal:Classical and Quantum Gravity
Volume:18
Issue / Number:8
Start Page:1543
End Page:1554
Review Status:Peer-review
Abstract / Description: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'.
External Publication Status:published
Document Type:Article
Communicated by:Bernhard F. Schutz
Affiliations:MPI für Gravitationsphysik/Astrophysical Relativity
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