当前位置: X-MOL 学术Classical Quant. Grav. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
On the initial geometry of a vacuum cosmological spacetime
Classical and Quantum Gravity ( IF 3.5 ) Pub Date : 2020-03-26 , DOI: 10.1088/1361-6382/ab77eb
John Lott

In the first part of this paper we consider expanding vacuum cosmological spacetimes with a free $T^N$-action. Among them, we give evidence that Gowdy spacetimes have AVTD (asymptotically velocity term dominated) behavior for their initial geometry, in any dimension. We then give sufficient conditions to reach a similar conclusion about a $T^2$-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.

中文翻译:

关于真空宇宙学时空的初始几何

在本文的第一部分,我们考虑使用自由的 $T^N$ 动作扩展真空宇宙学时空。其中,我们证明高迪时空在任何维度上的初始几何都具有 AVTD(渐近速度项主导)行为。然后我们给出足够的条件来得出关于 $T^2$ 不变的四维非高迪时空的类似结论。在论文的第二部分,我们考虑具有破碎奇点的真空宇宙学时空。我们引入了一个单调量来表征卡斯纳时空。假设尺度不变的曲率边界和局部体积边界,我们给出关于因果过去的结果。
更新日期:2020-03-26
down
wechat
bug