标题： 以(后)\$^{5/2}-牛顿阶的致密天体双星系统。 V. 自旋效应 显示英文标题

标题： Coalescing binary systems of compact objects to (post)$^{5/2}-Newtonian order. V. Spin Effects

摘要： 我们研究自旋-轨道和自旋-自旋耦合对旋转致密天体合并双星系统 inspiral 的影响以及由此产生的引力辐射。 使用 Blanchet、Damour 和 Iyer 开发的公式，我们计算了由于物体自旋对对称无迹辐射多极矩的贡献，这些多极矩用于计算波形、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，我们演化了合并双星的轨道，并利用该轨道计算发出的引力波形。 我们发现物体的自旋以几种方式影响波形：1）自旋项对双星的轨道衰减有贡献，从而对引力波形的累积相位有影响。 2）自旋导致轨道平面进动，这会改变轨道平面相对于观察者的取向，从而导致波形的形状发生变化。 3）自旋直接对波形的振幅有贡献。 我们讨论了两个合并中子星情况下以及中子星绕快速旋转的$10M_\odot$黑洞运行情况下自旋效应的大小和重要性。 显示英文摘要

摘要： 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.