f-symbols, Killing tensors and conserved Bel-type currents

Details f-symbols, Killing tensors and conserved Bel-type currents f-symbols, Killing tensors and conserved Bel-type currents

2010-12-24

arxiv.org/abs/1012.5368v1

Mod.Phys.Lett.A26:337-349,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, accepted for publication in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732311034888

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.

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