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ID: 206211.0, MPI für Gravitationsphysik / Astrophysical Relativity
Pragmatic approach to gravitational radiation reaction in binary Black holes
Authors:Lousto, Carlos O.
Language:English
Date of Publication (YYYY-MM-DD):2000-06-05
Title of Journal:Physical Review Letters
Volume:84
Issue / Number:23
Start Page:5251
End Page:5254
Copyright:Jahrbuch 2001, Copyright MPG 2001
Review Status:not specified
Audience:Not Specified
Intended Educational Use:No
Abstract / Description:We study the relativistic orbit of binary black holes in systems with small mass ratio. The trajectory of the smaller object (another black hole or a neutron star), represented as a particle, is determined by the geodesic equation on the perturbed massive black hole spacetime. Here we study perturbations around a Schwarzschild black hole using Moncrief's gauge invariant formalism. We decompose the perturbations into ℓ multipoles to show that all ℓ-metric coefficients are C0 at the location of the particle. Summing over ℓ, to reconstruct the full metric, gives a formally divergent result. We succeed in bringing this sum to a Riemann's ζ-function regularization scheme and numerically compute the first-order geodesics.
External Publication Status:published
Document Type:Article
Communicated by:Bernhard F. Schutz
Affiliations:MPI für Gravitationsphysik/Astrophysical Relativity
Identifiers:URL:http://arxiv.org/abs/gr-qc/9912017
LOCALID:arXiv:gr-qc/9912017v2
DOI:10.1103/PhysRevLett.84.5251
URL:http://link.aps.org/doi/10.1103/PhysRevLett.84.525...
ISSN:0031-9007
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