论文标题
kerr-ads的光谱$ _5 $时空功能：准模式，灰体因子和蒸发
Spectroscopy of Kerr-AdS$_5$ spacetime with the Heun function: Quasinormal modes, greybody factor, and evaporation
论文作者
论文摘要
我们通过以局部HEUN函数为测试的大量标量场来研究五维Kerr-Anti de Sitter（ADS $ _5 $）黑洞的五维Kerr-Anti De Sitter（ADS $ _5 $）黑洞的准模式，灰体因子和霍金蒸发。我们阐明了分别满足事件范围内和共形无穷大的ingo和腐烂边界条件的准模式的分布，以及相对于旋转参数的变化，它们在复杂频率平面上的分裂行为。我们还指出了纯粹虚构模式的存在。此外，我们开发了一种在ADS边界附近提取/传出波的方法，这使我们能够定义灰体因子，以互补与以前的作品互补的广泛参数空间。使用灰体因子，我们通过标量场的鹰辐射来计算Kerr-Ads $ _5 $黑洞的质量和旋转的蒸发率。
We investigate quasinormal modes, greybody factor, and Hawking evaporation of a five-dimensional Kerr-anti de Sitter (AdS$_5$) black hole by solving a wave equation for a test massive scalar field in terms of the local Heun function. We clarify the distribution of the quasinormal modes satisfying the ingoing and decaying boundary conditions at the event horizon and conformal infinity, respectively, and their splitting behaviors in the complex frequency plane with respect to a variation of spin parameters. We also point out the existence of purely imaginary modes. Further, we develop a method to extract in/outgoing waves near the AdS boundary, which enables us to define the greybody factor for a wide range of parameter space complementary to previous works. Using the greybody factor, we compute evaporation rates for mass and spins for the Kerr-AdS$_5$ black hole via the Hawking radiation of the scalar field.
