由准简正模重建势场和耦合场的理论不可知性
Theory-agnostic Reconstruction of Potential and Couplings from Quasi-Normal Modes
摘要：
在这项工作中，我们使用一个参数化的理论不可知的方法，连接观测的黑洞准正常模式与底层的扰动方程，重建的潜力和耦合函数出现在后者的目标。准简正模频率及其前两个泛音是通过二阶展开的偏离广义相对论，这被假定为是小的，但在其他方面通用。通过使用主成分分析，我们表明，基本模式和它的泛音的双能级测量可以用来约束有效的潜在的张量扰动和张量模式之间的耦合函数和不同的螺旋度，而不假设一个基本的理论。我们还应用我们的理论不可知论重建框架来分析模拟准正常模式数据产生的特定理论扩展广义相对论，如陈-西蒙斯引力。
英文摘要：
In this work, we use a parametrized theory-agnostic approach that connects the observation of black hole quasi-normal modes with the underlying perturbation equations, with the goal of reconstructing the potential and the coupling functions appearing in the latter. The fundamental quasi-normal mode frequency and its first two overtones are modeled through a second order expansion in the deviations from general relativity, which are assumed to be small but otherwise generic. By using a principal component analysis, we demonstrate that percent-level measurements of the fundamental mode and its overtones can be used to constrain the effective potential of tensor perturbations and the coupling functions between tensor modes and ones of different helicity, without assuming an underlying theory. We also apply our theory-agnostic reconstruction framework to analyze simulated quasi-normal mode data produced within specific theories extending general relativity, such as Chern-Simons gravity.
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