Dynamical Chern-Simons (DCS) gravity, a typical parity-violating gravitational theory, modifies both the generation and propagation of gravitational waves from general relativity (GR). In this work, we derive the gravitational waveform radiated from a binary slowly-rotating black hole system with eccentric orbits under the spin-aligned assumption in the DCS theory. Compared with GR, DCS modification enters the second-order post-Newtonian (2PN) approximation, affecting the spin-spin coupling and monopole-quadrupole coupling of binary motion. This modification produces an extra precession rate of periastron. This effect modulates the scalar and gravitational waveform through a quite low frequency. Additionally, the dissipation of conserved quantities results in the secular evolution of the semimajor axis and the eccentricity of binary orbits. Finally, the frequency-domain waveform is given in the post-circular scheme, requiring the initial eccentricity to be ≲ 0.3. This ready-to-use template will benefit the signal searches and improve the future constraint on DCS theory.

中文翻译：

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动力学陈-西蒙斯引力中偏心双黑洞系统的引力辐射


动态陈-西蒙斯（DCS）引力是一种典型的宇称破缺引力理论，它修改了广义相对论（GR）引力波的产生和传播。在这项工作中，我们在DCS理论中的自旋对齐假设下推导了具有偏心轨道的双星缓慢旋转黑洞系统辐射的引力波形。与GR相比，DCS修正进入二阶后牛顿（2PN）近似，影响二元运动的自旋-自旋耦合和单极-四极耦合。这种修改产生了额外的近星体进动率。这种效应通过相当低的频率调制标量和引力波形。此外，守恒量的耗散导致半长轴的长期演化和双星轨道的偏心率。最后给出后圆方案中的频域波形，要求初始偏心率≲0.3。这个即用型模板将有利于信号搜索并改善未来对 DCS 理论的约束。