论文标题
改进的Schwarzschild黑洞的准模式
Quasinormal modes of an improved Schwarzschild black hole
论文作者
论文摘要
我们计算了在渐近安全重力框架中改进的施瓦茨柴尔德几何形状的标量和电磁扰动的准频率，这是量子重力的方法之一。采用广泛使用的WKB半古典近似值，我们研究了对角度，泛音数和黑洞质量的影响的影响。我们在表中总结了我们的数值结果，为了更好地可视化，我们也以图形方式显示它们。所有模式都稳定。最后，我们将数值结果与对应于经典Schwarzschild解决方案的结果以及使用不同方法获得的结果进行了比较。我们的发现表明，i）不同的截止识别不会显着影响光谱，而ii）对于具有与普朗克质量相当的质量的假设对象，经典溶液模式与此处研究的改进解决方案模式之间数值的差异为几百分之几。相反，对于现实，天体物理BHS，没有观察到频率的差异。
We compute the quasinormal frequencies for scalar and electromagnetic perturbations of an improved Schwarzschild geometry in the framework of asymptotically safe gravity, which is one of the approaches to quantum gravity. Adopting the widely used WKB semi-classical approximation, we investigate the impact on the spectrum of the angular degree, the overtone number as well as the black hole mass. We summarize our numerical results in tables, and for better visualization, we show them graphically as well. All modes are found to be stable. Finally, we compare our numerical results with those corresponding to the classical Schwarzschild solution as well as to the results obtained using a different approach. Our findings show that i) a different cut-off identification does not affect the spectra significantly, and ii) for hypothetical objects with masses comparable to the Planck mass, the difference in the numerical values between the modes of the classical solution and the modes of the improved solution studied here is of the order of a few per cent. On the contrary, for realistic, astrophysical BHs no difference in the frequencies is observed.
