论文标题
前几个覆盖物探测事件范围的几何形状
First few overtones probe the event horizon geometry
论文作者
论文摘要
广泛地认为，准模式无法分辨黑孔近摩尼子几何形状，因为通常低洼模式是通过在有效电位峰值周围扰动的散射来确定的。使用尊重通用后纽顿渐近线的黑洞空间的一般参数化，我们将表明，在事件地平线附近一个相对较小的区域中，施瓦茨柴尔兹柴尔德/克尔几何形状的微小修饰导致几乎相同的schwarzschild/kerr基本模式，但完全不同的是几个不同的第一次覆盖。请记住，前几个泛音会在早期和中间阶段影响准响声[M. Giesler，M。Isi，M。Scheel和S. Teukolsky，物理学。 Rev. X 9，041060（2019）]，我们认为，原则上可以通过准频谱的前几个覆盖物来研究近磨砂的几何形状，这很重要，因为对爱因斯坦理论的校正必须精确地修改近乎空格的几何形状，并保持已知的弱场状态，以保持已知的弱场状态。
It is broadly believed that quasinormal modes cannot tell the black-hole near-horizon geometry, because usually the low-lying modes are determined by the scattering of perturbations around the peak of the effective potential. Using the general parametrization of the black-hole spacetimes respecting the generic post-Newtonian asymptotic, we will show that tiny modifications of the Schwarzschild/Kerr geometry in a relatively small region near the event horizon lead to almost the same Schwarzschild/Kerr fundamental mode, but totally different first few overtones. Having in mind that the first several overtones affect the quasinormal ringing at its early and intermediate stage [M. Giesler, M. Isi, M. Scheel, and S. Teukolsky, Phys. Rev. X 9, 041060 (2019)], we argue that the near-horizon geometry could in principle be studied via the first few overtones of the quasinormal spectrum, which is important because corrections to the Einstein theory must modify precisely the near-horizon geometry, keeping the known weak field regime.
