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ID: 206213.0, MPI für Gravitationsphysik / Astrophysical Relativity
Perturbative evolution of nonlinear initial data for binary black holes:Zerilli vs. Teukolsky equation
Authors:Lousto, Carlos O.
Language:English
Date of Publication (YYYY-MM-DD):2001-02-15
Title of Journal:Physical Review D
Volume:63
Issue / Number:4
Sequence Number of Article:047504
Copyright:Jahrbuch 2000, Copyright MPG 2000
Review Status:not specified
Audience:Not Specified
Intended Educational Use:No
Abstract / Description:We consider the problem of evolving nonlinear initial data in the close limit regime. For exact Misner initial data (two equal mass black holes initially at rest), metric perturbations evolved via the Zerilli equation suffer from a premature breakdown (at a proper separation of the holes L/M≈2.2) while we find that the exact Weyl scalar ψ4 evolved via the Teukolsky equation keeps very good agreement with the full numerical results up to L/M≈3.5. Metric and curvature perturbations of nonrotating black holes are equivalent to first perturbative order, but the Moncrief waveform in the former case and the Weyl scalar ψ4 in the latter differ when nonlinearities are present. We argue that this inequivalent behavior holds for a wider class of conformally flat initial data.
External Publication Status:published
Document Type:Article
Communicated by:Bernhard F. Schutz
Affiliations:MPI für Gravitationsphysik/Astrophysical Relativity
Identifiers:URL:http://link.aps.org/doi/10.1103/PhysRevD.63.047504
DOI:10.1103/PhysRevD.63.047504
ISSN:0556-2821
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