Killing Initial Data

Details Killing Initial Data Killing Initial Data

1996-04-22

arxiv.org/abs/gr-qc/9604040v1

Class.Quant.Grav.14:A83-A92,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages

Scientific paper

10.1088/0264-9381/14/1A/007

We study space-time 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 call Killing initial data (KID'S), to form a Lie algebra under the bracket operation induced by the Lie commutator of vector fields on space-time. This result is applied to obtain a theorem on the periodicity of orbits for a class of Killing vector fields in asymptotically flat space-times.

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