On the existence of Killing vector fields
General Relativity and Quantum Cosmology
2009-10-31 v2 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.gr-qc/9811031,
title = {On the existence of Killing vector fields},
author = {Istvan Racz},
journal= {arXiv preprint arXiv:gr-qc/9811031},
year = {2009}
}
Comments
9 pages, no figure, to appear in Class. Quant. Grav