Notes on maximal slices of five-dimensional black holes
Notes on maximal slices of five-dimensional black holes
复制标题
关于五维黑洞最大切片的注记
DOI：
10.1088/0264-9381/31/5/055004
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发表时间：
2013
影响因子：
3.5
通讯作者：
Eduardo Martínez Pedroza
中科院分区：
文献类型：
--
作者：
Aghil Alaee;Hari K. Kunduri;Eduardo Martínez Pedroza
我们考虑最大切片的迈尔斯-佩里黑洞，双旋转的黑色环，和黑色土星的解决方案。这些切片是完整的，渐近平坦的黎曼流形，其内边界对应于黑洞视界。虽然这些空间是拓扑检查的结果，但它们具有非平凡拓扑。在本文中，我们调查的问题是否拓扑的空间部分的地平线唯一决定的拓扑的最大切片。我们证明了在一定条件下视界决定切片的同调不变量。同调分析扩展到黑洞的明确的几何形状是未知的。我们相信，这些结果可以提供见解的背景下，证明存在的变形的初始数据。对于双自旋黑环和黑土星的拓扑切片，我们计算了3维同伦群，并证明了它们的四维同伦群不是平凡的。
We consider maximal slices of the Myers–Perry black hole, the doubly spinning black ring, and the Black Saturn solution. These slices are complete, asymptotically flat Riemannian manifolds with inner boundaries corresponding to black hole horizons. Although these spaces are simply connected as a consequence of topological censorship, they have non-trivial topology. In this paper we investigate the question of whether the topology of spatial sections of the horizon uniquely determines the topology of the maximal slices. We show that the horizon determines the homological invariants of the slice under certain conditions. The homological analysis is extended to black holes for which explicit geometries are not yet known. We believe that these results could provide insights in the context of proving existence of deformations of this initial data. For the topological slices of the doubly spinning black ring and the Black Saturn we compute the homotopy groups up to dimension 3 and show that their four-dimensional homotopy group is not trivial.
影响因子：
5.4
作者：
Emparan R
通讯作者：
Emparan R