Adiabatic evolution of three 'constants' of motion for greatly inclined orbits in kerr spacetime

Katsuhiko Ganz, Wataru Hikida, Hiroyuki Nakano, Norichika Sago, Takahiro Tanaka

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

General orbits of a particle of small mass μ around a Kerr black hole of mass M are characterized by three parameters: the energy, the angular momentum and the Carter constant. The time-averaged rates of change of the energy and the angular momentum can be obtained by computing the corresponding fluxes of gravitational waves emitted by the particle. By contrast, the time-averaged rate of change of the Carter constant cannot be expressed as a flux of gravitational waves. Recently a method to compute this rate of change was proposed by Mino, and we refined it into a simplified form. In this paper we further extend our previous work to give a new formulation without the aid of expansion in terms of a small inclination angle.

Original languageEnglish
Pages (from-to)1041-1066
Number of pages26
JournalProgress of Theoretical Physics
Volume117
Issue number6
DOIs
Publication statusPublished - Jun 1 2007

Fingerprint

orbits
gravitational waves
angular momentum
inclination
formulations
expansion
energy

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cite this

Adiabatic evolution of three 'constants' of motion for greatly inclined orbits in kerr spacetime. / Ganz, Katsuhiko; Hikida, Wataru; Nakano, Hiroyuki; Sago, Norichika; Tanaka, Takahiro.

In: Progress of Theoretical Physics, Vol. 117, No. 6, 01.06.2007, p. 1041-1066.

Research output: Contribution to journalArticle

Ganz, Katsuhiko ; Hikida, Wataru ; Nakano, Hiroyuki ; Sago, Norichika ; Tanaka, Takahiro. / Adiabatic evolution of three 'constants' of motion for greatly inclined orbits in kerr spacetime. In: Progress of Theoretical Physics. 2007 ; Vol. 117, No. 6. pp. 1041-1066.
@article{e57fe9bebc9549c2a9780eb28ed5a719,
title = "Adiabatic evolution of three 'constants' of motion for greatly inclined orbits in kerr spacetime",
abstract = "General orbits of a particle of small mass μ around a Kerr black hole of mass M are characterized by three parameters: the energy, the angular momentum and the Carter constant. The time-averaged rates of change of the energy and the angular momentum can be obtained by computing the corresponding fluxes of gravitational waves emitted by the particle. By contrast, the time-averaged rate of change of the Carter constant cannot be expressed as a flux of gravitational waves. Recently a method to compute this rate of change was proposed by Mino, and we refined it into a simplified form. In this paper we further extend our previous work to give a new formulation without the aid of expansion in terms of a small inclination angle.",
author = "Katsuhiko Ganz and Wataru Hikida and Hiroyuki Nakano and Norichika Sago and Takahiro Tanaka",
year = "2007",
month = "6",
day = "1",
doi = "10.1143/PTP.117.1041",
language = "English",
volume = "117",
pages = "1041--1066",
journal = "Progress of Theoretical Physics",
issn = "0033-068X",
publisher = "Published for the Research Institute for Fundamental Physics by Physical Society of Japan",
number = "6",

}

TY - JOUR

T1 - Adiabatic evolution of three 'constants' of motion for greatly inclined orbits in kerr spacetime

AU - Ganz, Katsuhiko

AU - Hikida, Wataru

AU - Nakano, Hiroyuki

AU - Sago, Norichika

AU - Tanaka, Takahiro

PY - 2007/6/1

Y1 - 2007/6/1

N2 - General orbits of a particle of small mass μ around a Kerr black hole of mass M are characterized by three parameters: the energy, the angular momentum and the Carter constant. The time-averaged rates of change of the energy and the angular momentum can be obtained by computing the corresponding fluxes of gravitational waves emitted by the particle. By contrast, the time-averaged rate of change of the Carter constant cannot be expressed as a flux of gravitational waves. Recently a method to compute this rate of change was proposed by Mino, and we refined it into a simplified form. In this paper we further extend our previous work to give a new formulation without the aid of expansion in terms of a small inclination angle.

AB - General orbits of a particle of small mass μ around a Kerr black hole of mass M are characterized by three parameters: the energy, the angular momentum and the Carter constant. The time-averaged rates of change of the energy and the angular momentum can be obtained by computing the corresponding fluxes of gravitational waves emitted by the particle. By contrast, the time-averaged rate of change of the Carter constant cannot be expressed as a flux of gravitational waves. Recently a method to compute this rate of change was proposed by Mino, and we refined it into a simplified form. In this paper we further extend our previous work to give a new formulation without the aid of expansion in terms of a small inclination angle.

UR - http://www.scopus.com/inward/record.url?scp=34548613643&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34548613643&partnerID=8YFLogxK

U2 - 10.1143/PTP.117.1041

DO - 10.1143/PTP.117.1041

M3 - Article

AN - SCOPUS:34548613643

VL - 117

SP - 1041

EP - 1066

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

IS - 6

ER -