论文标题
准模式和与阴影的对应关系，黑色孔具有不足的固体角度和类似典型的物质
Quasinormal modes and the correspondence with shadow in black holes with a deficit solid angle and quintessence-like matter
论文作者
论文摘要
在本文中，我们研究了$ 4 $维的黑洞的光子球，阴影半径和准模式，具有不足的实体角度和类似序言的物质。我们发现，光子球的半径和阴影随着赤字固体角度的降低和类似典当状物质的密度的降低而减小。分别通过第六阶WKB近似方法和阴影半径获得了准模式。当固定多极数时，准模式的实际部分和虚部的值随着赤字固体角度和类似序列的物质密度的降低而增加。这两种方法获得的准模式非常吻合，尤其是当多极数量较大时。它显示了艾科尼尔极限和阴影中的准模式之间的对应关系。
In this paper, we investigate the photon sphere, shadow radius and quasinormal modes of a $4$-dimensional black hole with a deficit solid angle and quintessence-like matter. We find that the radii of the photon sphere and shadow decrease with the decreases of the deficit solid angle and density of quintessence-like matter. The quasinormal modes are gotten by the sixth order WKB approximation method and shadow radius, respectively. The values of the real part and imaginary parts of the quasinormal modes increase with the decrease of the values of the deficit solid angle and density of quintessence-like matter when the multipole number is fixed. The quasinormal modes gotten by these two methods are in good agreement, especially when the multipole number is large. It shows the correspondence between the quasinormal modes in the eikonal limit and shadow.
