近日，韩国东国大学的Bogeun Gwak及其研究小组取得一项新进展。他们对加速Kerr-Newman-AdS黑洞的标量拟正态模进行了研究。相研究成果已于2024年2月23日在国际知名学术期刊《高能物理杂志》上发表。

该研究团队运用等单调变形方法，深入探讨了慢加速Kerr-Newman-anti-de Sitter黑洞的线性标量摄动。他们将共形耦合的Klein-Gordon方程分解为两个二阶常微分方程，这两个方程各自具有五个奇异点。令人惊喜的是，角方程可以转化为Heun方程，研究团队进而给出了在小加速度和旋转极限下，角特征值的渐近展开式。

在径向情况下，研究团队巧妙地利用了一组初始条件，重构了具有五个正则奇点的Fuchsian系统的等单调τ函数的边值问题。为了更直观地展示他们的研究成果，研究团队还计算了准正模频率。

附：英文原文

Title: Scalar quasi-normal modes of accelerating Kerr-Newman-AdS black holes

Author: Amado, Julin Barragn, Gwak, Bogeun

Issue&Volume: 2024-02-23

Abstract: We study linear scalar perturbations of slowly accelerating Kerr-Newman-anti-de Sitter black holes using the method of isomonodromic deformations. The conformally coupled Klein-Gordon equation separates into two second-order ordinary differential equations with five singularities. Nevertheless, the angular equation can be transformed into a Heun equation, for which we provide an asymptotic expansion for the angular eigenvalues in the small acceleration and rotation limit. In the radial case, we recast the boundary value problem in terms of a set of initial conditions for the isomonodromic tau function of Fuchsian systems with five regular singular points. For the sake of illustration, we compute the quasi-normal modes frequencies.

DOI: 10.1007/JHEP02(2024)189

Source: https://link.springer.com/article/10.1007/JHEP02(2024)189