论文标题
超级质量比带标量头发的灵感
Extreme Mass Ratio Inspirals with Scalar Hair
论文作者
论文摘要
围绕超质量黑洞绕的恒星质量物体是丽莎（Lisa）等未来重力波探测器的主要目标。然而，在一般相对性的理论中，相应的波形模板仍然相对众所周知。我们为这些系统提出了一个通用描述，该描述适用于任何具有非琐碎标量轮廓或标量头发的黑洞。为此，我们使用了Franciolini等人最近引入的有效领域理论。为了编写针对球形对称解的扰动的最通用的动作，直到衍生物和/或字段数中的某些给定顺序。在任何牛顿后秩序上，背景指标和相关运算符都可以用有限数量的参数编码，这些参数很容易在某些给定的标量张量模型中计算出来，正如我们显示的几个示例所示。就这样的参数而言，我们通过在存在点粒子源的情况下触摸求解regge-wheeler方程来获得奇数扇区中消散功率的分析表达。
Stellar mass objects orbiting around supermassive black holes are primary targets for future gravitational wave detectors like LISA. However, in theories beyond general relativity, the corresponding waveform templates are still relatively poorly known. We propose a universal description for these systems which applies to any black hole with a non trivial scalar profile, or scalar hair. To this aim, we use the effective field theory recently introduced by Franciolini et al. to write the most general action for the perturbations of a spherically symmetric solution up to some given order in derivatives and/or number of fields. At any post-Newtonian order, the background metric and the relevant operators can be encoded in a limited number of parameters which are readily calculated in some given scalar tensor model, as we show with a couple of examples. In terms of such parameters, we obtain an analytic expression for the dissipated power in the odd sector by solving perturbatively the Regge-Wheeler equation in the presence of a point-particle source.
