arXiv 1606.048792016-06hep-thgr-qc

通过对偶旋转的环形虫洞

Ring wormholes via duality rotations

Gary W. Gibbons, Mikhail S. Volkov

备注：: matches the published version
发表信息：: Phys.Lett. B760 (2016) 324-328
DOI：: 10.1016/j.physletb.2016.07.012

摘要：

我们应用对偶旋转和复杂的变换Schwarzschild度规，以获得虫洞的几何形状与两个渐近平坦的区域连接的咽喉。在最简单的情况下，这些是由幻影标量场支持的众所周知的虫洞。进一步的对偶旋转去除了标量场，产生了不太为人所知的扁Zipoy-Voorhees-Weyl类真空度规，它描述了环虫洞。环环绕虫洞喉部，可以有任何半径，而它的张力总是负的，应该小于$-c^4/4G$。如果张力达到最大值，几何就变成完全平坦的，但拓扑仍然是非平凡的，对应于两个闵可夫斯基空间的副本沿着环所包围的圆盘粘在一起。测地线是直线，穿过环的测地线到达另一个宇宙。因此，环实际上在空间中产生了一个洞。这样的虫洞可能是由负能量集中在环形体积中产生的，例如真空涨落。

英文摘要：

We apply duality rotations and complex transformations to the Schwarzschild metric to obtain wormhole geometries with two asymptotically flat regions connected by a throat. In the simplest case these are the well-known wormholes supported by phantom scalar field. Further duality rotations remove the scalar field to yield less well known vacuum metrics of the oblate Zipoy-Voorhees-Weyl class, which describe ring wormholes. The ring encircles the wormhole throat and can have any radius, whereas its tension is always negative and should be less than $-c^4/4G$. If the tension reaches the maximal value, the geometry becomes exactly flat, but the topology remains non-trivial and corresponds to two copies of Minkowski space glued together along the disk encircled by the ring. The geodesics are straight lines, and those which traverse the ring get to the other universe. The ring therefore literally produces a hole in space. Such wormholes could perhaps be created by negative energies concentrated in toroidal volumes, for example by vacuum fluctuations.

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