Causal geodesic incompleteness of spacetimes arising from IMP gluing

Causal geodesic incompleteness of spacetimes arising from IMP gluing
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IMP 粘合引起的时空因果测地线不完整性

DOI:
10.1007/s10714-019-2621-3
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发表时间:
2019
影响因子:
2.8
通讯作者:
D. Pollack
D. Pollack
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Madeleine Burkhart;D. Pollack

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2002年,IMP通过胶合构造构造了一族真空初始数据集。在本文中,我们调查了这些初始数据集的局部几何以及它们的时空发展的影响。特别是,我们的状态的存在条件的外部被困表面的IMP胶合颈部的中心附近,从而使用一个推广的彭罗斯不完整性定理推导出空的不完整性所产生的时空。
In 2002, Isenberg–Mazzeo–Pollack (IMP) constructed a family of vacuum initial data sets via a gluing construction. In this paper, we investigate some local geometry of these initial data sets as well as implications regarding their spacetime developments. In particular, we state conditions for the existence of outer trapped surfaces near the center of the IMP gluing neck and thence use a generalization of the Penrose incompleteness theorem to deduce null incompleteness of the resulting spacetimes.
时空曲率条件下 CMC 柯西曲面的存在性
DOI: 10.1007/s10714-018-2428-7
发表时间: 2018
影响因子: 2.8
作者:
Galloway, Gregory J.;Ling, Eric
通讯作者: Ling, Eric
DOI: 10.1007/s00220-017-3020-9
发表时间: 2018-06-01
影响因子: 2.4
作者:
Galloway, Gregory J.;Ling, Eric
通讯作者: Ling, Eric