论文标题
有效的一体动力学的共鸣岛
Resonant Islands of Effective-One-Body Dynamics
论文作者
论文摘要
我们研究有效的一体（EOB）形式主义中非旋转测试粒子的大地测试动力学的混乱特征，以旋转二进制黑洞的灵感过程。我们首先表明，纽顿后二阶（2PN）EOB动力学是不可集成的，这表明EOB度量不能满足Carter常数存在的标准。然后，我们采用数值研究来找到旋转曲线的高原，这些曲线与伯克霍夫群岛在台面的庞加尔岛上存在有关，表示系统中的混乱动力学。我们的结果表明，EOB动力学的混乱签名，尤其是在零件黑洞的Kerr界限的感兴趣方面。我们还发现，随着变形EOB背景度量增加的自旋参数$ a $ a $的增加，混沌行为更加明显。我们的结果可以帮助发现动态混乱在重力波天文学中的含义。最后，由于以3PN顺序进行更正，我们还提出了一些初步结果。
We study the chaotic signatures of the geodesic dynamics of a non-spinning test particle in the effective-one-body (EOB) formalism for the inspiral process of spinning binary black holes. We first show that the second order post-Newtonian (2PN) EOB dynamics is non-integrable by demonstrating that the EOB metric does not satisfy the criterion for the existence of Carter constant. We then employ the numerical study to find the plateaus of the rotation curve, which are associated with the existence of Birkhoff islands in the Poincaré surface of section, signifying the chaotic dynamics in the system. Our results show the signatures of chaos for the EOB dynamics, especially in the regime of interest for which the Kerr bounds of the component black holes hold. We also find that chaotic behavior is more obvious as the spin parameter $a$ of the deformed EOB background metric increases. Our results can help to uncover the implications of dynamical chaos in gravitational wave astronomy. Finally, we also present some preliminary results due to corrections at 3PN order.
