动力学Chern-Simons引力中极端质量比螺旋的引力波
Gravitational waves from extreme mass-ratio inspirals in Dynamical Chern-Simons gravity
摘要：
动力学陈-西蒙斯引力是广义相对论的一个有趣的扩展，它在许多不同的背景下找到了自己的方式，包括弦论，宇宙学设置和环量子引力。在这个理论中，引力场通过宇称违反项耦合到标量场，这产生了特征信号。在这里，我们研究陈-西蒙斯引力将如何影响一个小的，恒星质量的物体进入一个大的非旋转的超大质量黑洞的准圆形螺旋，以及伴随的引力波和标量波的发射。我们找到了描述小物体引起的扰动的相关方程，并通过使用格林函数技术来求解它们。我们的结果表明，对于很大范围的耦合参数，陈-西蒙斯耦合会导致总能通量的增加，这意味着在一定带宽内引力波周期的数量减少。对于LISA等天基引力波探测器，这种效应可以用来有效地约束耦合参数。
英文摘要：
Dynamical Chern-Simons gravity is an interesting extension of General Relativity, which finds its way in many different contexts, including string theory, cosmological settings and loop quantum gravity. In this theory, the gravitational field is coupled to a scalar field by a parity-violating term, which gives rise to characteristic signatures. Here we investigate how Chern-Simons gravity would affect the quasi-circular inspiralling of a small, stellar-mass object into a large non-rotating supermassive black hole, and the accompanying emission of gravitational and scalar waves. We find the relevant equations describing the perturbation induced by the small object, and we solve them through the use of Green's function techniques. Our results show that for a wide range of coupling parameters, the Chern-Simons coupling gives rise to an increase in total energy flux, which translates into a fewer number of gravitational-wave cycles over a certain bandwidth. For space-based gravitational-wave detectors such as LISA, this effect can be used to constrain the coupling parameter effectively.
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