Gravitational radiation from a particle in circular orbit around a black hole. V. Black-hole absorption and tail corrections

dc.creatorPoisson, Eric
dc.creatorSasaki, Misao
dc.date1994-12-08
dc.date.accessioned2026-07-07T11:14:23Z
dc.date.available2026-07-07T11:14:23Z
dc.descriptionA particle of mass $μ$ moves on a circular orbit of a nonrotating black hole of mass $M$. Under the restrictions $μ/M \ll 1$ and $v \ll 1$, where $v$ is the orbital velocity, we consider the gravitational waves emitted by such a binary system. We calculate $\dot{E}$, the rate at which the gravitational waves remove energy from the system. The total energy loss is given by $\dot{E} = \dot{E}^\infty + \dot{E}^H$, where $\dot{E}^\infty$ denotes that part of the gravitational-wave energy which is carried off to infinity, while $\dot{E}^H$ denotes the part which is absorbed by the black hole. We show that the black-hole absorption is a small effect: $\dot{E}^H/\dot{E} \simeq v^8$. 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.
dc.descriptionReVTeX, 17 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/9412027
dc.identifierhttp://arxiv.org/abs/gr-qc/9412027
dc.identifierPhys.Rev.D51:5753-5767,1995
dc.identifierdoi:10.1103/PhysRevD.51.5753
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192050
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGravitational radiation from a particle in circular orbit around a black hole. V. Black-hole absorption and tail corrections
dc.typetext

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