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

Y1 - 2007/6

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.

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U2 - 10.1143/PTP.117.1041

DO - 10.1143/PTP.117.1041

M3 - Article

AN - SCOPUS:34548613643

SN - 0033-068X

VL - 117

SP - 1041

EP - 1066

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

IS - 6

ER -