On the initial geometry of a vacuum cosmological spacetime
On the initial geometry of a vacuum cosmological spacetime
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DOI：
10.1088/1361-6382/ab77eb
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发表时间：
2019-08
影响因子：
3.5
通讯作者：
J. Lott
中科院分区：
文献类型：
--
作者：
J. Lott
在本文的第一部分中，我们考虑具有自由TN作用量的膨胀真空宇宙时空。其中，我们给出的证据表明，Gowdy时空的AVTD（渐近速度项占主导地位）的行为，其初始几何，在任何维。然后，我们给出了充分条件，以达到一个类似的结论T2不变的四维nonGowdy时空。在本文的第二部分中，我们考虑了具有破碎奇点的真空宇宙时空。我们引入一个单调量来刻画Kasner时空。在尺度不变的曲率界和局部体积界的假设下，给出了因果过去的一些结果。
In the first part of this paper we consider expanding vacuum cosmological spacetimes with a free TN-action. Among them, we give evidence that Gowdy spacetimes have AVTD (asymptotic velocity term dominated) behavior for their initial geometry, in any dimension. We then give sufficient conditions to reach a similar conclusion about a T2-invariant four dimensional nonGowdy spacetime. In the second part of the paper we consider vacuum cosmological spacetimes with crushing singularities. We introduce a monotonic quantity to characterize Kasner spacetimes. Assuming scale-invariant curvature bounds and local volume bounds, we give results about causal pasts.