论文标题
Kerr黑洞的阴影和高斯分布的等离子体在极性方向
Shadows of Kerr black holes with a Gaussian-distributed plasma in the polar direction
论文作者
论文摘要
在这项工作中，我们研究了Kerr黑洞的阴影，周围是轴对称等离子体，其密度在极方向上占据高斯分布。沿着径向的方向，我们考虑了两个模型：在模型A中，血浆衰减的密度在功率定律中；在模型B中，密度遵守对数高斯分布。使用数值向后的射线追踪方法，我们发现阴影的大小由于等离子体密度的极性分布而对观察者的倾斜角敏感。特别是，我们特别注意B模型B，并研究最大密度的径向位置的影响，密度对事件范围的衰减速率以及等离子体的开头对Kerr Black Hole Shadow的形状和大小。可以通过将等离子体作为凸透镜，折射率不到$ 1 $来定性地解释这项工作中研究的等离子体的效果。
In this work, we study the shadow of Kerr black hole surrounded by an axisymmetric plasma, whose density takes a Gaussian distribution in the polar direction. Along the radial direction, we consider two models: in model A the density of the plasma decays in a power law; in model B the density obeys a logarithmic Gaussian distribution. Using the numerical backward ray-tracing method, we find that the size of the shadow is sensitive to the inclination angle of the observer due to the polar distribution of the density of the plasma. In particular, we pay special attention to the model B and investigate the influence of the radial position of maximum density, the decay rate of the density towards the event horizon and the opening angle of the plasma on the shape and size of the Kerr black hole shadow. The effects of the plasmas studied in this work can be qualitatively explained by taking the plasmas as convex lenses with the refractive index being less than $1$.
