有效单体理论中自旋双星系统到第五后闵可夫斯基阶的演化动力学
Evolution dynamics of spinning binaries in effective-one-body theory to fifth Post-Minkowskian order
- Hunan Normal University（湖南师范大学）
- Yangzhou University（扬州大学）
- University of Chinese Academy of Sciences（中国科学院大学）
- Hunan Institute of Technology（衡阳师范学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文基于场论原理，在第五后闵可夫斯基阶构建自洽有效单体理论，推导哈密顿量、类Teukolsky方程及波形，适用于任意质量比自旋双星，填补质量比区间空白。
AI中文摘要：
本文研究了一种自洽的有效单体（EOB）理论，该理论旨在描述自旋双星系统的动力学。我们基于场论原理，系统地推导了进入哈密顿方程的所有表达式和量，这些方程控制着系统的动力学演化。基于我们最近获得的直到第五后闵可夫斯基（PM）阶的有效旋转度规，我们构建了哈密顿量和应力-能量张量。然后，我们推导了一个解耦的、可分离的、带有源项的类Teukolsky方程，用于Newman-Penrose Weyl标量$ψ_4^B$，并给出了其形式解。最后，利用该解，我们获得了自旋双星系统产生的“加”和“叉”偏振的能量通量、辐射反作用力和引力波形。该EOB理论适用于任意质量比系统，填补了可比质量比与极端质量比之间的空白。
英文摘要：
This paper investigates a self-consistent effective-one-body (EOB) theory developed to describe the dynamics of spinning binary systems. We systematically derive, using field-theoretic principles, all expressions and quantities entering Hamilton's equations, which govern the dynamical evolution of the system. Based on the effective rotating metric up to fifth post-Minkowskian (PM) order recently obtained by us, we construct the Hamiltonian and the stress-energy tensor. We then derive a decoupled, separable Teukolsky-like equation with a source term for the Newman--Penrose Weyl scalar $ψ_4^B$ and present its formal solution. Finally, using this solution, we obtain the energy flux, radiation-reaction force, and gravitational waveforms for the ``plus'' and ``cross'' polarizations generated by spinning binaries. The EOB theory applies to systems with arbitrary mass ratio, which filling the gap between comparable mass ratios and extreme mass ratios.
