Coalescing binary systems of compact objects to (post)5/2-Newtonian order. V. Spin effects.
Coalescing binary systems of compact objects to (post)5/2-Newtonian order. V. Spin effects.
复制标题
DOI：
10.1103/physrevd.52.821
复制
发表时间：
1995-06
期刊：
影响因子：
--
通讯作者：
Lawrence E. Kidder
中科院分区：
文献类型：
--
作者：
Lawrence E. Kidder
我们研究了自旋-轨道和自旋-自旋耦合对自旋致密天体聚结双星系统的激旋和对由此发出的引力辐射的影响。利用Blanchet，Damour和Iyer发展的公式，我们计算了天体自旋对对称无迹辐射多极矩的贡献，这些贡献被用来计算来自激励双星的波形、能量损失和角动量损失。使用包含自旋-轨道和自旋-自旋耦合项的运动方程，我们演化了聚结双星的轨道，并利用该轨道计算了发射的引力波形。我们发现天体的自旋通过几种方式影响双星的波形：1)自旋项有助于双星的轨道衰变，从而影响引力波形的累积相位。2)自旋导致轨道平面进动，这改变了轨道平面相对于观测者的方向，从而导致波形的形状被调制。3)自旋对波形的幅度有直接贡献。我们讨论了两颗合并的中子星和一颗中子星围绕一个快速旋转的$10M_\OOT$黑洞运行的情况下，自旋效应的大小和重要性。
We examine the effects of spin-orbit and spin-spin coupling on the inspiral of a coalescing binary system of spinning compact objects and on the gravitational radiation emitted therefrom. Using a formalism developed by Blanchet, Damour, and Iyer, we calculate the contributions due to the spins of the bodies to the symmetric trace-free radiative multipole moments which are used to calculate the waveform, energy loss, and angular momentum loss from the inspiralling binary. Using equations of motion which include terms due to spin-orbit and spin-spin coupling, we evolve the orbit of a coalescing binary and use the orbit to calculate the emitted gravitational waveform. We find the spins of the bodies affect the waveform in several ways: 1) The spin terms contribute to the orbital decay of the binary, and thus to the accumulated phase of the gravitational waveform. 2) The spins cause the orbital plane to precess, which changes the orientation of the orbital plane with respect to an observer, thus causing the shape of the waveform to be modulated. 3) The spins contribute directly to the amplitude of the waveform. We discuss the size and importance of spin effects for the case of two coalescing neutron stars, and for the case of a neutron star orbiting a rapidly rotating $10M_\odot$ black hole.