Gravitational Waves Induced by a Particle Orbiting around a Rotating Black Hole : Effect of Orbital Precession : Astrophysics and Relativity

概要

論文の詳細を見る
We have calculated the energy and the angular momentum fluxes of gravitational waves induced by a test particle of mass μ, the orbital radius r_0 and the Carter constant C moving around a Kerr black hole of mass M≫μ 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 cosθ_i, for cosθ_i≳0.8, where θ_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, r_0 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.
理論物理学刊行会の論文
1993-09-25