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Killing Initial Data

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arxiv gr-qc/9604040 v1 pith:WHTF5ZMW submitted 1996-04-22 gr-qc

R.Beig (Institut für Theoretische Physik , Universität Wien) Piotr T. Chrusciel (Departement de Mathematique Faculte des Sciences Tours) This is my paper · ORCID
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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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  1. Unit Killing Initial Data

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Unit directions of Killing fields in Einstein-Lambda spacetimes are characterized from Cauchy-surface data by a new nonlinear PDE system (uKID), derived two ways and shown to admit at most n(n+1)/2 - 1 independent solutions.

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