A geometric definition of Lie derivative for Spinor Fields
arXiv:gr-qc/9608003
Abstract
Relying on the general theory of Lie derivatives a new geometric definition of Lie derivative for general spinor fields is given, more general than Kosmann's one. It is shown that for particular infinitesimal lifts, i.e. for Kosmann vector fields, our definition coincides with the definition given by Kosmann more than 20 years ago.
10 pages, Plain TEX
Cited by in corpus (9)
- Gauge Formalism for General Relativity and Fermionic Matter
- ADM Pseudotensors, Conserved Quantities and Covariant Conservation Laws in General Relativity
- Remarks on Conserved Quantities and Entropy of BTZ Black Hole Solutions. Part II: BCEA Theory
- Einstein-Dirac theory on gauge-natural bundles
- Dirac equation in spacetimes with torsion and non-metricity
- Metric-affine gravity and the Nester-Witten 2-form
- Supersymmetric black holes with a single axial symmetry in five dimensions
- On the on-shell equivalence of general relativity and Holst theories with nonmetricity, torsion, and boundaries
- Universal Spin Structure in Gauge Gravitation Theory