On the existence of Killing vector fields

Istvan Racz

On the existence of Killing vector fields

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arxiv gr-qc/9811031 v2 pith:MTAOUKCV submitted 1998-11-11 gr-qc hep-th

Istvan Racz This is my paper · ORCID

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keywords existencekillingsystemsvectorconditionscoupledcovariantdata

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In covariant metric theories of coupled gravity-matter systems the necessary and sufficient conditions ensuring the existence of a Killing vector field are investigated. It is shown that the symmetries of initial data sets are preserved by the evolution of hyperbolic systems.

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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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