论文标题
5D电荷Bardeen黑洞的准模式,阴影和灰体因子
Quasinormal modes, shadow and greybody factors of 5D electrically charged Bardeen black holes
论文作者
论文摘要
我们通过考虑标量和电磁场扰动来研究5D电荷的Bardeen黑洞时空的准模式(QNM)。黑洞时空是爱因斯坦重力的精确解决方案,并在五个维度上与非线性电动力学结合,具有非构成行为。为了计算QNM,我们使用WKB近似方法最高第六阶。由于电荷的存在$ q_e> 0 $,与Schwarzschild-Tangherlini黑洞相比,标量和电磁场扰动衰减较慢。我们发现,与电磁场扰动相比,标量场的扰动会更快地振荡。在阻尼方面,标量场扰动更快。从图形上讲,我们显示传输(反射)系数随着电荷$ q_e $的幅度的增加而减小(增加)。引力波的发射允许时空由于假想部分的非零值而经历阻尼的振荡,这始终为负。 QNMS频率的假想部分随着给定模式的电荷$ q_e $的幅度的增加($ l,n $)不断减小。还描述了QNMS频率与黑洞阴影之间的连接,以及在eikonal限制中的几何横截面。
We study quasinormal modes (QNMs) in 5D electrically charged Bardeen black holes spacetime by considering the scalar and electromagnetic field perturbations. The black holes spacetime is an exact solution of Einstein gravity coupled to nonlinear electrodynamics in five dimensions, which has nonsingular behavior. To calculate QNMs, we use the WKB approximation method up to sixth order. Due to the presence of electric charge $q_e > 0$, both the scalar and electromagnetic field perturbations decay more slowly when compared to the Schwarzschild-Tangherlini black holes. We discover that the scalar field perturbations oscillate more rapidly when compared to the electromagnetic field perturbations. In terms of damping, the scalar field perturbations damp more quickly. Graphically we show that the transmission (reflection) coefficients decrease (increase) with an increase in the magnitude of the electric charge $q_e$. The emission of gravitational waves allows spacetime to undergo damped oscillations due to the nonzero value of the imaginary part, which is always negative. The imaginary part of the QNMs frequencies is continuously decreasing with an increase in the magnitude of the electric charge $q_e$ for a given mode ($l,n$). A connection between the QNMs frequencies and the black hole shadow, as well as the geometric cross-section in the eikonal limit, is also described.