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Perturbative evolution of nonlinear initial data for binary black holes:Zerilli vs. Teukolsky equation

MPS-Authors

Lousto,  Carlos O.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Phy.Rev.D.63.047504.pdf
(Publisher version), 265KB

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Citation

Lousto, C. O. (2001). Perturbative evolution of nonlinear initial data for binary black holes:Zerilli vs. Teukolsky equation. Physical Review D, 63(4): 047504. doi:10.1103/PhysRevD.63.047504.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-55BA-8
Abstract
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.