论文标题
麦克洛林球体惯性模式的潮汐驾驶
Tidal driving of inertial modes of Maclaurin spheroids
论文作者
论文摘要
我们检查了麦克洛蛋白球体的振动的惯性模式，并确定它们是如何由牛顿（Gravitoelectric）或牛顿后（引力）（重力磁性）的外部潮汐场驱动的。这项工作的上下文和动机来自于认识到，旋转中子星的惯性模式可以在二进制灵感中共鸣，对发射引力波的相位产生可测量的影响。我们旨在为此现象提供更多见解。我们计算相关惯性模式的频率及其与潮汐力的重叠积分的方式，随着恒星的旋转速率增加，几乎跨越了零旋转和质量切换极限之间的整个范围。我们证明了一个惯性模式与牛顿潮汐领域伴侣。与所有其他模式的重叠积分消失。我们还证明了四种惯性模式与牛顿后的重力磁潮场。与所有其他模式的重叠积分消失。最后，我们确定了惯性模式的重力电驱动在重力磁性驾驶中主导的相当极端的条件。
We examine the inertial modes of vibration of a Maclaurin spheroid and determine how they are driven by an external tidal field, either Newtonian (gravitoelectric) or post-Newtonian (gravitomagnetic). The context and motivation for this work come from the realization that inertial modes of rotating neutron stars can be resonantly excited in binary inspirals, with a measurable effect on the phasing of the emitted gravitational waves. We aim to provide additional insights into this phenomenon. We calculate how the frequencies of the relevant inertial modes, and their overlap integrals with the tidal forces, vary as the star's rotation rate increases, spanning almost the full range between zero rotation and the mass-shedding limit. We prove that a single inertial mode couples to a Newtonian tidal field; overlap integrals with all other modes vanish. We prove also that four inertial modes couple to a post-Newtonian, gravitomagnetic tidal field; overlap integrals with all other modes vanish. Finally, we determine the rather extreme conditions under which the gravitoelectric driving of inertial modes dominates over the gravitomagnetic driving.
