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Journal Article

Pragmatic approach to gravitational radiation reaction in binary Black holes


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

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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: https://hdl.handle.net/11858/00-001M-0000-0013-5718-D
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.