Blackfolds、平面波与极小曲面
Blackfolds, Plane Waves and Minimal Surfaces
摘要：
欧氏空间中的极小曲面提供了渐近平坦时空中可能的非紧视界几何和拓扑的例子。另一方面，时空中极限面的存在提供了一个简单的机制，使这些配置紧凑。极限曲面在给定的时空中通过使极小曲面旋转而自然出现，但它们也是平面波或德西特时空所固有的，在这种情况下，极小曲面可以是静态的和紧凑的。我们使用的Blackfold方法，以扫描可能的黑洞视界的几何形状和拓扑结构在渐近平坦，平面波和德西特时空。在这个过程中，我们发现了几个新的配置，如黑色螺旋面和悬链面，其中一些有一个渐近平坦的对应。特别是，我们发现，超自旋制度的单自旋迈尔斯-佩里黑洞，描述的最简单的极小曲面（平面），可以得到一个黑色的螺旋面的限制，这表明这两个家庭的黑洞是连接的。我们还表明，嵌入在领域，而不是欧氏空间的极小曲面可以用来构建静态的渐近德西特时空紧的地平线。
英文摘要：
Minimal surfaces in Euclidean space provide examples of possible non-compact horizon geometries and topologies in asymptotically flat space-time. On the other hand, the existence of limiting surfaces in the space-time provides a simple mechanism for making these configurations compact. Limiting surfaces appear naturally in a given space-time by making minimal surfaces rotate but they are also inherent to plane wave or de Sitter space-times in which case minimal surfaces can be static and compact. We use the blackfold approach in order to scan for possible black hole horizon geometries and topologies in asymptotically flat, plane wave and de Sitter space-times. In the process we uncover several new configurations, such as black helicoids and catenoids, some of which have an asymptotically flat counterpart. In particular, we find that the ultraspinning regime of singly-spinning Myers-Perry black holes, described in terms of the simplest minimal surface (the plane), can be obtained as a limit of a black helicoid, suggesting that these two families of black holes are connected. We also show that minimal surfaces embedded in spheres rather than Euclidean space can be used to construct static compact horizons in asymptotically de Sitter space-times.
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