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

8 Pith papers cite this work. Polarity classification is still indexing.

8 Pith papers citing it
abstract

A particle of mass $\mu$ moves on a circular orbit of a nonrotating black hole of mass $M$. Under the restrictions $\mu/M \ll 1$ 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.

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gr-qc 8

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representative citing papers

Plunge spectra as discriminators of black hole mimickers

gr-qc · 2025-09-12 · unverdicted · novelty 5.0

Plunge spectra of extreme mass ratio events onto black hole mimickers show a low-frequency resonance comb and a high-frequency deviation from black hole behavior above Mω_th ≈ 0.39.

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