论文标题
Boltzmann遇到Lorentz:黑洞的代理模型
Boltzmann Meets Lorentz: A Surrogate Model for Black Hole Echoes
论文作者
论文摘要
黑洞视野的存在并未在观察上严格证明,实际上可能不可能这样做。但是,可以通过观察引力波回声来确定替代方案,从而探测可能的接近水平结构。提出这些回声是在无层的异国情调的紧凑型物体中产生的,这些物体是无水平的,并在其灯环内部具有部分反射的“墙”,从而形成了一个空腔,其中引力扰动可能会回荡,同时每次通过的角度动量障碍物泄漏出来。回声的特征标志是几乎均匀间隔的光谱共振的梳子。虽然大约是正确的,但与此简单图片的偏差可能导致严重的观察信号损失。在本文中,我们探索了有关回声采购和几何形状的最新结果。然后开发出具有物理动机的回声模型,作为洛伦兹光谱线上的总和,通过地平线框架频率和空腔的大小进行了参数。我们的最终频谱仅是黑洞的质量和自旋的函数,以及近马物理学的紫外线尺度。然后,我们将此模型应用于引力波事件中的回声,该模型在Ligo/处女座(即GW190521)中具有最大的响声信号。我们将我们的发现解释为对合并后的分数能量的测量,等于$ e_ {echoes} / e_ {gr} = 8.9 \ pm 4.5 \%$,其中不确定性范围代表90%可信区域。该结果的鲁棒性在噪声背景和模拟注射下进行了测试,我们发现信号通过对模型的修改和数据搜索的变化而持续存在。
The existence of black hole horizons has not been strictly proven observationally, and indeed it may not be possible to do so. However, alternatives may be established by the observation of gravitational wave echoes that probe possible near-horizon structure. These echoes are proposed to be generated in exotic compact objects that are horizonless and feature a partially reflecting "wall" inside their light rings, creating a cavity in which gravitational perturbations may echo, while leaking out through the angular momentum barrier with each pass. The characteristic signature of echoes is a comb of nearly evenly spaced spectral resonances. While approximately true, deviations from this simple picture can lead to severe observational signal losses. In this paper, we explore such subtleties with the latest results for echo sourcing and geometry. A physically motivated echo model is then developed as a sum over Lorentzian spectral lines, parametrized by functions of the horizon frame frequency and the size of the cavity. Our final spectrum is a function of only the mass and spin of the black hole, as well as the UV scale of the near-horizon physics. We then apply this model in a search for echoes in the gravitational wave event with the loudest ringdown signal in LIGO/Virgo, i.e. GW190521. We interpret our findings as a measurement of the fractional energy in post-merger echoes equal to $E_{echoes} / E_{GR} = 8.9 \pm 4.5\%$, where the uncertainty range represents the 90% credible region. The robustness of this result is tested against noise backgrounds and simulated injections, and we find that a signal persists through modifications to the model and changes in the data search.