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  Pragmatic approach to gravitational radiation reaction in binary Black holes

Lousto, C. O. (2000). Pragmatic approach to gravitational radiation reaction in binary Black holes. Physical Review Letters, 84(23), 5251-5254. doi:10.1103/PhysRevLett.84.5251.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5718-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5719-B
Genre: Journal Article

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Phy.Rev.Lett.84.5251.pdf (Publisher version), 138KB
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 Creators:
Lousto, Carlos O.1, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 Abstract: 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.

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Language(s): eng - English
 Dates: 2000-06-05
 Publication Status: Published in print
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Title: Physical Review Letters
Source Genre: Journal
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Pages: - Volume / Issue: 84 (23) Sequence Number: - Start / End Page: 5251 - 5254 Identifier: ISSN: 0031-9007