论文标题
一般匹配零秩序的杀戮视野
General matching across Killing horizons of zero order
论文作者
论文摘要
无效的壳是一种有用的几何结构，可研究无限薄浓度的无质量颗粒或冲动波的传播。在回忆了[28]中获得的必要条件，允许将两个空间与无效的嵌入式超曲面匹配为边界，我们将解决当对称发生器确定对称性发生器时，在零顺序上匹配零顺序的问题。结果基本不同，具体取决于边界是非分类还是退化，并且包含固定点（尤其是在前一种情况下，壳的压力为零，但通常不变的能量密度和能量通量）。我们将在每种情况下介绍所谓的步骤功能的明确形式。然后，我们将专注于实际杀戮视野的情况，该情况承认了分叉表面，在该表面上可以获得壳及其能量弹药张量的完整描述。我们将得出结论，将两个空间与球形，平面或双曲线对称性的匹配而匹配，而不会在壳本身上施加这种对称性。
Null shells are a useful geometric construction to study the propagation of infinitesimally thin concentrations of massless particles or impulsive waves. After recalling the necessary and sufficient conditions obtained in [28] that allow for the matching of two spacetimes with null embedded hypersurfaces as boundaries, we will address the problem of matching across Killing horizons of zero order in the case when the symmetry generators are to be identified. The results are substantially different depending on whether the boundaries are non-degenerate or degenerate, and contain or not fixed points (in particular, in the former case the shells have zero pressure but non-vanishing energy density and energy flux in general). We will present the explicit form of the so-called step function in each situation. We will then concentrate on the case of actual Killing horizons admitting a bifurcation surface, where a complete description of the shell and its energy-momentum tensor can be obtained. We will conclude particularizing to the matching of two spacetimes with spherical, plane or hyperbolic symmetry without imposing this symmetry on the shell itself.
