论文标题
高导数重力中的准模式：测试黑洞参数化和泛音的灵敏度
Quasinormal modes in higher derivative gravity: testing the black hole parametrization and sensitivity of overtones
论文作者
论文摘要
众所周知，由爱因斯坦 - 韦尔作用给出的高衍生重力中的黑洞的基本准模式已被Weyl项中适度地校正。在这里，我们将证明前几个泛音对即使是相对较小的Weyl校正也高度敏感，在代表黑洞响头的早期阶段时，这可能很重要。此外，我们解决了与爱因斯坦 - 韦尔理论中数值黑洞解决方案的分析参数化近似相关的问题：在某些参数中，在某些参数中，公制的近似值达到了三阶，导致频率的异常高度非单调的行为。我们已经表明，可以通过将公制的参数化扩展到更高阶的参数化来解决此问题，直到达到频率随着顺序进一步增加而变化为止。
The fundamental quasinormal modes of black holes in higher-derivative gravity given by the Einstein-Weyl action are known to be moderately corrected by the Weyl term. Here we will show that the first several overtones are highly sensitive to even a relatively small Weyl correction, which might be important when representing the earlier stage of the black hole ringdown. In addition, we have solved the problem related to the analytical parametrized approximation of the numerical black hole solution in the Einstein-Weyl theory: In some range of parameters the approximation for the metric developed up to the third order leads to the unusual highly nonmonotonic behavior of the frequencies. We have shown that this problem can be solved via the extension of the parametrization of the metric to higher orders until reaching the regime when the frequencies do not change with further increasing of the order.
