1994/12/08 by Eric Poisson, Misao Sasaki · 1 citation
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1103/physrevd.51.5753
published as Phys.Rev.D51:5753-5767,1995 · ReVTeX, 17 pages
arxiv created 1994/12/08 · arxiv updated 2009/11/30
A particle of mass μ moves on a circular orbit of a nonrotating black hole of mass M. Under the restrictions μ/M ≪ 1 and v ≪ 1, where v is the orbital velocity, we consider the gravitational waves emitted by such a binary system. We calculate E, the rate at which the gravitational waves remove energy from the system. The total energy loss is given by E = E^∞ + EH, where E^∞ denotes that part of the gravitational-wave energy which is carried off to infinity, while EH denotes the part which is absorbed by the black hole. We show that the black-hole absorption is a small effect: EH/E ≃ v8. We also compare the wave generation formalism which derives from perturbation theory to the post-Newtonian formalism of Blanchet and Damour. Among other things we consider the corrections to the asymptotic gravitational-wave field which are due to wave-propagation (tail) effects.