论文标题
中子二进制灵感中的引力磁性潮汐共振
Gravitomagnetic tidal resonance in neutron-star binary inspirals
论文作者
论文摘要
涉及至少一个旋转中子恒星的紧凑型二进制系统经历了引力潮汐共振，因为它启发了其最终合并。这些对发射引力波的分阶段有动力影响。共振是由旋转恒星振动的惯性模式产生的。涉及四种不同的模式，当恒星以该频段内的频率旋转时，共振发生在干涉重力波检测器的频带内。共振是由伴侣恒星创建的引力磁场驱动的。这是由牛顿后载体电位描述的，这是由与轨道运动相关的质量电流产生的。这些共振先前由Flanagan和Racine [Phys。 Rev. D 75，044001（2007）]，但是这些作者仅考虑了单个模式的响应R-Mode，R-Mode，一种惯性模式的特殊情况。本文提出的分析中包括所有四个相关模式。显示总重力波相移的总范围从旋转和轨道角矩对齐时约$ 10^{ - 2} $弧度，到抗和对齐时约$ 10^{-1} $弧度。随着下一代重力波检测器的部署（宇宙探险仪，爱因斯坦望远镜），这种相移将在未来几十年中成为可衡量的。由于目前的探测器的计划改进，他们甚至可能会在这十年内揭露。从灵感波形中收集的二元质量和旋转的良好限制，相位移动提供了有关旋转中子星的内部结构的信息，因此在核物质状态方程上提供了信息。
A compact binary system implicating at least one rotating neutron star undergoes gravitomagnetic tidal resonances as it inspirals toward its final merger. These have a dynamical impact on the phasing of the emitted gravitational waves. The resonances are produced by the inertial modes of vibration of the rotating star. Four distinct modes are involved, and the resonances occur within the frequency band of interferometric gravitational-wave detectors when the star spins at a frequency that lies within this band. The resonances are driven by the gravitomagnetic tidal field created by the companion star; this is described by a post-Newtonian vector potential, which is produced by the mass currents associated with the orbital motion. These resonances were identified previously by Flanagan and Racine [Phys. Rev. D 75, 044001 (2007)], but these authors accounted only for the response of a single mode, the r-mode, a special case of inertial modes. All four relevant modes are included in the analysis presented in this paper. The total accumulated gravitational-wave phase shift is shown to range from approximately $10^{-2}$ radians when the spin and orbital angular momenta are aligned, to approximately $10^{-1}$ radians when they are anti-aligned. Such phase shifts will become measurable in the coming decades with the deployment of the next generation of gravitational-wave detectors (Cosmic Explorer, Einstein Telescope); they might even come to light within this decade, thanks to planned improvements in the current detectors. With good constraints on the binary masses and spins gathered from the inspiral waveform, the phase shifts deliver information regarding the internal structure of the rotating neutron star, and therefore on the equation of state of nuclear matter.
