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Journal Article

#### Pragmatic approach to gravitational radiation reaction in binary Black holes

##### MPS-Authors

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##### Fulltext (public)

Phy.Rev.Lett.84.5251.pdf

(Publisher version), 138KB

9912017v2.pdf

(Preprint), 213KB

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

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.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-5718-D

##### 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.