论文标题
来自准正常模式的电势和耦合的理论反应重建
Theory-agnostic Reconstruction of Potential and Couplings from Quasi-Normal Modes
论文作者
论文摘要
在这项工作中，我们使用一种参数化理论不可吻合的方法，该方法将黑洞准正常模式的观察与潜在的扰动方程联系起来，目的是重建势和耦合函数。基本的准正常模式频率及其前两个泛音是通过与一般相对性偏离的二阶扩展进行建模的，这被认为是很小但否则通用的。通过使用主成分分析，我们证明了基本模式及其泛音的百分比测量值可用于限制张量扰动的有效潜力以及张量模式与不同螺旋性之间的耦合函数，而无需假设潜在的理论。我们还将理论反应重建框架应用于分析在特定理论中产生的模拟准正常模式数据，以扩展一般相对论，例如Chern-Simons Gravity。
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.
