f-symbols, Killing tensors and conserved Bel-type currents
arXiv:1012.5368 · doi:10.1142/S0217732311034888
Abstract
In the framework of the General Relativity we show that from three generalizations of Killing vector fields, namely f-symbols, symmetric Stäckel-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.
arXiv comment13 pages, accepted for publication in Mod. Phys. Lett. A
References in corpus (19)
- SUSY in the sky
- Super-energy tensors
- Quantum Mechanics of Yano tensors: Dirac equation in curved spacetime
- On the existence of the second Dirac operator in Riemannian space
- Killing tensors and a new geometric duality
- Conserved superenergy currents
- Unique characterization of the Bel-Robinson tensor
- (Super)^n-Energy for arbitrary fields and its interchange: Conserved quantities
- Gravitational and axial anomalies for generalized Euclidean Taub-NUT metrics
- Symmetries of the Dirac operators associated with covariantly constant Killing-Yano tensors
- Conserved Matter Superenergy Currents for Hypersurface Orthogonal Killing Vectors
- Dual Metrics for a Class of Radiative Spacetimes
- Lax Tensors, Killing Tensors and Geometric Duality
- Superalgebras of Dirac operators on manifolds with special Killing-Yano tensors
- Fermions and world-line supersymmetry
- Non-existence of f-symbols in generalized Taub-NUT spacetimes
- Conserved Matter Superenergy Currents for Orthogonally Transitive Abelian G2 Isometry Groups
- Bel-Robinson tensor and dominant energy property in the Bianchi type I Universe
- Generalized Killing equations for spinning spaces and the role of Killing-Yano tensors