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摘要
En 中文
We study spacetime Killing vectors in terms of their 'lapse and shift' relative to some spacelike slice. We give a necessary and sufficient condition in order for these lapse-shift pairs. which we calf Killing initial data (KID), to form a Lie algebra under the bracket operation induced by the Lie commutator of vector fields on spacetime. This result is applied to obtain a theorem on the periodicity of orbits for a class of Killing vector fields in asymptotically flat spacetimes.
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期刊
IF:
3.7
论文数:
1.3W
被引数:
3.0W
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