Maximum Principles for Null Hypersurfaces and Null Splitting Theorems

Maximum Principles for Null Hypersurfaces and Null Splitting Theorems
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零超曲面和零分裂定理的最大原理

DOI:
10.1007/s000230050006
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发表时间:
1999
期刊:
Annales Henri Poincaré
影响因子:
--
通讯作者:
G. Galloway
G. Galloway
中科院分区:
--
文献类型:
--
作者:
G. Galloway

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得到了C^0零超曲面的一个极大值原理,并利用它导出了含零线时空的一个分裂定理。作为这个零分裂定理的结果,证明了包含零线的渐近简单真空(Ricci平坦)时空与Minkowski空间等距。
A maximum principle for C^0 null hypersurfaces is obtained and used to derive a splitting theorem for spacetimes which contain null lines. As a consequence of this null splitting theorem, it is proved that an asymptotically simple vacuum (Ricci flat) spacetime which contains a null line is isometric to Minkowski space.