“Flux-balance formulae” for extreme mass-ratio inspirals

Soichiro Isoyama, Ryuichi Fujita, Hiroyuki Nakano, Norichika Sago, Takahiro Tanaka

研究成果: Contribution to journalArticle

1 引用 (Scopus)

抜粋

The “flux-balance formulae” that determine the averaged evolution of energy, azimuthal angular momentum, and Carter constant in terms of the averaged asymptotic gravitational-wave fluxes for inspirals of small bodies into Kerr black holes were first derived about 15 years ago. However, this derivation is restricted to the case that the background Kerr geodesics are non-resonant (i.e., the radial and angular motions are always incommensurate), and excludes the resonant case that can be important for the radiative dynamics of extreme mass-ratio inspirals. We give here a new derivation of the flux formulae based on Hamiltonian dynamics of a self-forced particle motion, which is a valuable tool for analyzing self-force effects on generic (eccentric, inclined) bound orbits in the Kerr spacetime. This Hamiltonian derivation using action-angle variables is much simpler than the previous one, applies to resonant inspirals without any complication, and can be straightforwardly implemented by using analytical/numerical Teukolsky-based flux codes.

元の言語英語
記事番号013E01
ジャーナルProgress of Theoretical and Experimental Physics
2019
発行部数1
DOI
出版物ステータス出版済み - 2019

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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