f-symbols, Killing tensors and conserved Bel-type currents
General Relativity and Quantum Cosmology
2011-02-23 v1
Abstract
In the framework of the General Relativity we show that from three generalizations of Killing vector fields, namely f-symbols, symmetric St\"{a}ckel-Killing and antisymmetric Killing-Yano tensors, some conserved currents can be obtained through adequate contractions of the above mentioned objects with rank four tensors having the properties of Bel or Bel-Robinson tensors in Einstein spaces.
Keywords
Cite
@article{arxiv.1012.5368,
title = {f-symbols, Killing tensors and conserved Bel-type currents},
author = {Ovidiu Tintareanu-Mircea},
journal= {arXiv preprint arXiv:1012.5368},
year = {2011}
}
Comments
13 pages, accepted for publication in Mod. Phys. Lett. A