论文标题
部分可观测时空混沌系统的无模型预测
Light propagation in a plasma on an axially symmetric and stationary spacetime: Separability of the Hamilton-Jacobi equation and shadow
论文作者
论文摘要
由等离子体包围的紧凑物体周围的光线的性质受到一般相关时空描述的强力磁场的影响，并受到以血浆密度分布为特征的分散和折射培养基。我们研究了在平稳性和轴对称性的假设下采用相对论哈密顿形式主义的这些效果。制定了公制和等离子体频率上的必要条件，因此可以通过完全分离的汉密尔顿 - 雅各比方程来分析射线。我们证明了这些结果如何允许分析计算光子区域和阴影（如果存在）。详细讨论了几个具体的例子：“毛茸茸的” Kerr黑洞，Hartle-Thorne时空指标，Melvin Universe和Teo旋转的可遍历的蠕虫孔。在所有这些情况下，还存在等离子体培养基。
The properties of light rays around compact objects surrounded by a plasma are affected by both strong gravitational fields described by a general-relativistic spacetime and by a dispersive and refractive medium, characterized by the density distribution of the plasma. We study these effects employing the relativistic Hamiltonian formalism under the assumption of stationarity and axisymmetry. The necessary and sufficient conditions on the metric and on the plasma frequency are formulated, such that the rays can be analytically determined from a fully separated Hamilton-Jacobi equation. We demonstrate how these results allow to analytically calculate the photon region and the shadow, if they exist. Several specific examples are discussed in detail: the "hairy" Kerr black holes, the Hartle-Thorne spacetime metrics, the Melvin universe, and the Teo rotating traversable wormhole. In all of these cases a plasma medium is present as well.
