GRAVITATIONAL-WAVES INDUCED BY A PARTICLE ORBITING AROUND A ROTATING BLACK-HOLE - EFFECT OF ORBITAL PRECESSION

被引:26
作者
SHIBATA, M
机构
来源
PROGRESS OF THEORETICAL PHYSICS | 1993年 / 90卷 / 03期
关键词
D O I
10.1143/PTP.90.595
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We have calculated the energy and the angular momentum fluxes of gravitational waves induced by a test particle of mass mu, the orbital radius r0 and the Carter constant C moving around a Kerr black hole of mass M much greater than mu and the angular momentum aM. In this case the orbital plane of the particle precesses around the symmetric axis due to the spin-orbit interaction. It is found that the energy flux is approximately written as a linear function of costheta(i) for costheta(i) greater than or similar to 0.8, where theta(i) is the inclination of the orbital plane to the equatorial plane. It is also found that the orbital precession drastically modifies the wave pattern of gravitational waves. We propose a method to calculate the back reaction to the Carter constant and show a table of the fluxes of the Carter constant as well as the energy, angular momentum for various combinations of a, r0 and C. Using those fluxes, we perform a rough estimation of the time evolution of the inclination angle. It seems that the inclination angle of the orbital plane gradually becomes small for a<0 case and becomes large for a>0 case due to the back reaction of the gravitational radiation.
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页码:595 / 614
页数:20
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