标题： 事件视界拓扑 显示英文标题

标题： Topology of Event Horizon

摘要： 事件视界的拓扑结构被研究。 考虑到事件视界端点的存在，它不能是可微的。 尽管在光滑事件视界中被排除，但仍有新的事件视界拓扑可能性。 揭示了事件视界的拓扑结构与其端点之间的关系。 环面状事件视界是由二维端点引起的。 一维端点导致球形事件视界的合并。 此外，这些方面可以通过适当的时间切片来消除。 这一结果将有助于讨论事件视界拓扑结构的稳定性和普遍性。 显示英文摘要

摘要： The topologies of event horizons are investigated. Considering the existence of the endpoint of the event horizon, it cannot be differentiable. Then there are the new possibilities of the topology of the event horizon though they are excluded in smooth event horizons. The relation between the topology of the event horizon and the endpoint of it is revealed. A torus event horizon is caused by two-dimensional endpoints. One-dimensional endpoints provide the coalescence of spherical event horizons. Moreover, these aspects can be removed by an appropriate timeslicing. The result will be useful to discuss the stability and generality of the topology of the event horizon.