On the existence of Killing vector fields

Details On the existence of Killing vector fields On the existence of Killing vector fields

1998-11-11

arxiv.org/abs/gr-qc/9811031v2

Class.Quant.Grav. 16 (1999) 1695-1703

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, no figure, to appear in Class. Quant. Grav

Scientific paper

10.1088/0264-9381/16/6/304

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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