论文标题
在充电大量标量扰动下Kerr-Newman黑洞的超级稳定性的分析研究
Analytic study of superradiant stability of Kerr-Newman black holes under charged massive scalar perturbation
论文作者
论文摘要
研究了Kerr-Newman Black Hole和带电的大规模标量扰动的超级稳定性。我们将黑洞视为背景几何形状，并研究标量扰动的运动方程。从径向运动方程式中，我们得出标量扰动所经历的有效潜力。通过仔细分析这种有效的潜力，发现当Kerr-Newman Black Hole的内部和外部地平线满足$ \ frac {r _-} {r _+} \ leqslant \ frac {1} {1} {3} {3} { \ frac {q} {μ} \ frac {q} {m}> 1 $，Kerr-Newman Black Hole和标量扰动系统非常稳定。
The superradiant stability of a Kerr-Newman black hole and charged massive scalar perturbation is investigated. We treat the black hole as a background geometry and study the equation of motion of the scalar perturbation. From the radial equation of motion, we derive the effective potential experienced by the scalar perturbation. By a careful analysis of this effective potential, it is found that when the inner and outer horizons of Kerr-Newman black hole satisfy $\frac{r_-}{r_+}\leqslant\frac{1}{3}$ and the charge-to-mass ratios of scalar perturbation and black hole satisfy $ \frac{q}{μ}\frac{Q}{ M}>1 $, the Kerr-Newman black hole and scalar perturbation system is superradiantly stable.
