入口虫洞的自碰撞
Self-collision of a portal wormhole
摘要：
我们考虑经典广义相对论中的门户自碰撞。入口是由负质量宇宙弦的单个环支撑的虫洞，并且是虫洞，入口具有非平凡的拓扑。入口可以被构造成在宇宙弦之外的任何地方曲率都为零，ADM质量为零。这些虫洞的圆锥奇点可以被平滑，产生$S^2 \times S^1$的空间拓扑，其中对应于空间无穷大的点被移除。如果有人试图碰撞平滑门户的口以引起自湮灭，那么人们可能会天真地认为恢复了欧几里得拓扑，这将违反经典的无拓扑变化定理。我们考虑一个特定的限制，由各向异性流体支持的平滑门户网站，并发现，虽然门户网站的嘴不经历加速度，因为它们被带到一起接近，曲率奇点形式的限制，分离距离消失。我们发现，在广义相对论，门户口之间的相互作用主要不是引力的性质，但严重依赖于物质的相互作用。
英文摘要：
We consider the self-collision of portals in classical general relativity. Portals are wormholes supported by a single loop of negative mass cosmic string, and being wormholes, portals have a nontrivial topology. Portals can be constructed so that the curvature is zero everywhere outside the cosmic string, with vanishing ADM mass. The conical singularities of these wormholes can be smoothed, yielding a spatial topology of $S^2 \times S^1$ with a point corresponding to spatial infinity removed. If one attempts to collide the mouths of a smoothed portal to induce self-annihilation, one naively might think that a Euclidean topology is recovered, which would violate the classical no topology change theorems. We consider a particular limit of smoothed portals supported by an anisotropic fluid, and find that while the portal mouths do not experience an acceleration as they are brought close together, a curvature singularity forms in the limit that the separation distance vanishes. We find that in general relativity, the interaction between portal mouths is not primarily gravitational in nature, but depends critically on matter interactions.
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