Topology and Singularities in Cosmological Spacetimes Obeying the Null Energy Condition
Topology and Singularities in Cosmological Spacetimes Obeying the Null Energy Condition
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DOI：
10.1007/s00220-017-3020-9
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发表时间：
2018-06-01
影响因子：
2.4
通讯作者：
Ling, Eric
中科院分区：
文献类型：
--
作者：
Galloway, Gregory J.;Ling, Eric
我们考虑在一个与正宇宙学常数的存在相容的环境中具有紧致柯西曲面的全局双曲时空。更具体地说，对于满足零能量条件的3 + 1维时空，包含一个未来扩张的紧柯西曲面，我们建立了柯西曲面的拓扑结构和过去奇点的发生之间的精确联系。除了彭罗斯奇性定理，证明利用了一些最近的进展，拓扑结构的3流形和某些基本的存在结果极小曲面。
We consider globally hyperbolic spacetimes with compact Cauchy surfaces in a setting compatible with the presence of a positive cosmological constant. More specifically, for 3 + 1 dimensional spacetimes which satisfy the null energy condition and contain a future expanding compact Cauchy surface, we establish a precise connection between the topology of the Cauchy surfaces and the occurrence of past singularities. In addition to the Penrose singularity theorem, the proof makes use of some recent advances in the topology of 3-manifolds and of certain fundamental existence results for minimal surfaces.