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arXiv 2004.10772gr-qcastro-ph.COhep-th
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具有标量头发的极端质量比吸气

Extreme Mass Ratio Inspirals with Scalar Hair

Adrien Kuntz, Riccardo Penco, Federico Piazza

摘要:

围绕超大质量黑洞运行的恒星质量物体是未来像LISA这样的引力波探测器的主要目标。然而,在超越广义相对论的理论中,相应的波形模板仍然相对知之甚少。我们提出了一个通用的描述这些系统适用于任何黑洞与非平凡的标量配置文件,或标量头发。为此,我们使用的有效场论最近介绍的Franciolini等人。写的最一般的行动的扰动的球对称解决方案,以某些给定的顺序在衍生物和/或领域的数量。在任何后牛顿阶下,背景度量和相关算子都可以编码为有限数量的参数,这些参数在某些给定的标量张量模型中很容易计算,正如我们用几个例子所展示的那样。在这样的参数,我们得到了一个解析表达式的耗散功率在奇数部门通过微扰求解Regge-Wheeler方程的存在下的一个点粒子源。

英文摘要:

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.

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