Geometric engineering 5d black holes with rod diagrams
Geometric engineering 5d black holes with rod diagrams
复制标题
几何工程 5d 黑洞与杆图
DOI：
--
复制
发表时间：
2008
期刊：
影响因子：
--
通讯作者：
J. Evslin
中科院分区：
文献类型：
--
作者：
J. Evslin
具有两个空间Kill矢量的5维引力的静态解以其杆状结构为特征。在这篇注记中，我们描述了如何从相应的杆图中确定视界和渐近区域的轨道奇点和拓扑。作为一个例子，我们引入了黑透镜，这是一个静态的5维黑洞，它的视界空间拓扑是渐近的Minkowski空间。这个解是新颖的，因为渐近的Minkowski空间不是商的。然而，它有一个赤裸裸的奇点。当圆锥奇点和轨道奇点被去掉时，两个球曲率奇点仍然存在。这些奇点对ADM质量没有贡献，黑透镜的热力学表现良好，尽管它的熵比相同质量的Tangherlini黑洞的熵低。
Static solutions of 5-dimensional gravity with two spatial Killing vectors are characterized by their rod structures. In this note we describe how the orbifold singularities and the topologies of the horizons and asymptotic regions can be determined from the corresponding rod diagrams. As an example we introduce the black lens, a static 5-dimensional black hole with a horizon of lens space topology which is asymptotically Minkowski space. The solution is novel in that the asymptotic Minkowski space is not quotiented. However it suffers from a naked singularity. While the conical and orbifold singularities have been removed, two spherical curvature singularities remain. These singularities do not contribute to the ADM mass, and the thermodynamics of the black lens is well behaved, although its entropy is lower than that of a Tangherlini black hole of the same mass.